WebDifferent Types of Field Effect, Bipolar Junction, Depletion, Enhancement, Insulated Gate Bipolar and Special Transistors. To understand Maxwells fourth equation, it is crucial to understand Amperes circuit law, Consider a wire of a current-carrying conductor with the current I. WebThe variable intensity of sea waves; Although not widely used, tidal energy has the potential for future electricity generation. Refer to the Electric Charges and Fields Class 12 MCQs Questions with Answers here along with a detailed explanation. Sound bounces off the surface of the medium which can be a solid or a liquid. Georges operation is which type of wholesaler? Simple harmonic motion is a harmonic motion with a constant amplitude and the same frequency. In electronic circuits, resistors are used to adjust signal levels, reduce current flow, bias active elements, terminate transmission lines, divide voltages, etc. Glass, Mica, Wood, Rubber, etc. 137. 146. WebThe magnitude of electric potential depends on the amount of work done in moving the object from one point to another against the electric field. If we take two tubes and position them against a wall, as shown in the figure below, upon placing a speaker or any other source of sound near one end of the tube, we receive the sound at the end of the other tube. Thus, L.H.S of equation (1) can be converted into surface integral using Stokes theorem, Which states that Closed line integral of any vector field is always equal to the surface integral of the curl of the same vector field, Thus, the scalar quantity is converted into vector quantity. The Traditional Marketing style involves, (a) an estimate of the maximum possible sales opportunities present in a particular market segment, (b) an estimate of sales, in physical units, in a future period, 41. Your Mobile number and Email id will not be published. A theory states that no matter how efficiently goods/services are produced, if they cannot be delivered to the customer in the quickest possible time it is vain. 16. Which one of the following groups of people would be considered client publics for a hospital? 23. (e) goods and services the customer receives in an exchange. Click Start Quiz to begin! Assuming that the potential energy of the dipole is zero when = 0 , the potential energy of the dipole will be (1) -pE cos (2) pE(1-cos ) (3) pE(cos -1) (4) -2pE(cos -1) Rapid Parcel Service is a transportation company that producers use to forward freight to customers. A varistor is a non-linear resistor made of semiconductor and current through which depends non-linearly on the applied voltage across it. Over a closed surface, the product of the electric flux density vector and surface integral is equal to the charge enclosed. Understand SHM along with its types, equations and more. (c) Supply products in the food industry by developing permanent, trusting relationships with buyers. 119. Let us consider a particle, which is executing SHM at time t = 0, and the particle is at a distance from the equilibrium position. A cash-and-carry wholesaler would be expected to. Example 2: Calculate the gravitational field if the mass and force of a substance are given as 6kg and 36N, respectively. (a) All transactions in which products are bought for resale, for making other products, or for general business operations. Management must think of itself not as producing products but a providing customer creating value , 47. Report a Violation 11. Classification of products into goods, services, and ideas is determined by the: 103. So, the value can be anything depending upon the position of the particle at t = 0. Two vibrating particles are said to be in the opposite phases if the phase difference between them is an odd multiple of . People tend to view promotion from many vantage points. (c) a motive. This calls for activity in which of the following marketing mix variables? 91. A theory states that no matter how efficiently goods/services are produced, if they cannot be delivered to the customer in the quickest possible time it is vain. It states that Whenever there are n-turns of conducting coil in a closed path placed in a time-varying magnetic field, an alternating electromotive force gets induced in each coil. Lenzs law gives this. We know that magnetic flux is equal to the product of the electric flux and permittivity. (b) different product lines offered by the company. 138. The body must experience a net Torque that is restored in nature. Maxwells equations describe how the electric field can create a magnetic field and vice versa. are examples of resistive materials. If a pull policy is to be used in promoting a product, the firm. A physical, concrete product you can touch is: 67. She is spending considerable time and effort comparing the ranges of furniture in different retail stores. Now its projection on the diameter along the x-axis is N. As the particle P revolves around in a circle anti-clockwise, its projection M follows it up, moving back and forth along the diameter such that the displacement of the point of projection at any time (t) is the x-component of the radius vector (A). This along with our never-quality-compromised products, has helped us achieve long and healthy relationships with all our customers. (b) Promotion activities make up the bulk of marketing. (d) assessment of marketing opportunities and resources. (a) Making the size of marketer Irrelevant. This will permanently delete All Practiced Questions. The acceleration of a particle executing simple harmonic motion is given by a(t) = -2x(t). 63. (c) Statement A is not but Statement B is true. Only bookmarked questions of selected question set or default questions are shown here. Which states that the Static electric field vector is an irrotational vector. \vec{H}=0\end{array} \), \(\begin{array}{l}emf_{alt}=-N\frac{d\phi }{dt}\, (1)\end{array} \), \(\begin{array}{l}\Rightarrow emf_{alt}=-\frac{d\phi }{dt}\, -(2)\end{array} \), \(\begin{array}{l}\phi =\iint \vec{B}.d\vec{s}\, (3)\end{array} \), \(\begin{array}{l}emf_{alt} =-\frac{d}{dt}\iint \vec{B}.d\vec{s}\end{array} \), \(\begin{array}{l}emf_{alt} =\iint -\frac{\delta \vec{B}}{\delta t}.d\vec{s}\, (4)\end{array} \), \(\begin{array}{l}\Rightarrow emf_{alt} =\oint \vec{E}.d\vec{l}\, -(5)\end{array} \), \(\begin{array}{l}\Rightarrow \oint \vec{E}d\vec{l}=\iint -\frac{\delta \vec{B}}{\delta t}.d\vec{s}\, (6)\end{array} \), \(\begin{array}{l}\Rightarrow \oint \vec{E}d\vec{l}=\iint \left ( \bigtriangledown \times \vec{E} \right ).d\vec{s}\, (7)\end{array} \), \(\begin{array}{l}\Rightarrow \iint \left ( \bigtriangledown \times \vec{E} \right )d\vec{s}=\iint -\frac{\delta \vec{B}}{\delta t}.d\vec{s} (8)\end{array} \), \(\begin{array}{l}\bigtriangledown \times \vec{E}= -\frac{\delta \vec{B}}{\delta t}\end{array} \), \(\begin{array}{l}\Rightarrow -\frac{\delta \vec{B}}{\delta t}=0\end{array} \), \(\begin{array}{l}\Rightarrow \bigtriangledown \times \vec{E}=0\end{array} \), \(\begin{array}{l}\oint \vec{H}.d\vec{l}=I_{enclosed}(1)\end{array} \), \(\begin{array}{l}\oint \vec{H}.d\vec{l}=\iint \left ( \bigtriangledown \times \vec{H} \right ).d\vec{s} -(2)\end{array} \), \(\begin{array}{l}\iint \left ( \bigtriangledown \times \vec{H} \right ).d\vec{l}=I_{enclosed} (3)\end{array} \), \(\begin{array}{l}\iint \left ( \bigtriangledown \times \vec{H} \right ).d\vec{l}\,\, is\,\, a \,\,vector \,\,quantity\,\, and\,\,I_{enclosed}\,\,is a scalar quantity.\end{array} \), \(\begin{array}{l}To \,\,convert\,\, this \,\,scalar \,\,quantity\,\, into\,\, the\,\, vector, \,\,multiplyI_{enclosed}\,\, by\,\, current\,\, density vector \vec{J}. The equations describe how the electric field can create a magnetic field and vice versa. 54. Select the correct answer and click on the Finish buttonCheck your score and answers at the end of the quiz, Visit BYJUS for all JEE related queries and study materials, \(\begin{array}{l}\begin{matrix} \overrightarrow{F}\propto -\overrightarrow{x} \\ \overrightarrow{a}\,\,\propto -\overrightarrow{x} \\ \end{matrix}\end{array} \), \(\begin{array}{l}\overrightarrow{x}- \text{displacement of particle from equilibrium position}\end{array} \), \(\begin{array}{l}\overrightarrow{F}- \text{Restoring force}\end{array} \), \(\begin{array}{l}\overrightarrow{a}- \text{acceleration}\end{array} \), \(\begin{array}{l}\overrightarrow{F}\propto -\overrightarrow{x}\end{array} \), \(\begin{array}{l}\overrightarrow{a}\,\propto -\overrightarrow{x}\end{array} \), \(\begin{array}{l}\overrightarrow{{{F}_{net}}}=0\\\overrightarrow{a}=0\end{array} \), \(\begin{array}{l}\text{The restoring force}\ \overrightarrow{F}\ \text{at Q is given by}\end{array} \), \(\begin{array}{l}\overrightarrow{F}=-K\overrightarrow{x}\end{array} \), \(\begin{array}{l}\Rightarrow \overrightarrow{F}=m\overrightarrow{a}\end{array} \), \(\begin{array}{l}\overrightarrow{a}- \text{acceleration at Q}\end{array} \), \(\begin{array}{l}\Rightarrow m\overrightarrow{a}=-K\overrightarrow{x}\end{array} \), \(\begin{array}{l}\Rightarrow \overrightarrow{a}=-\left( \frac{K}{m} \right)\overrightarrow{x}\end{array} \), \(\begin{array}{l}Put\ \frac{K}{m}={{\omega }^{2}}\end{array} \), \(\begin{array}{l}\Rightarrow \omega =\sqrt{\frac{K}{m}}\end{array} \), \(\begin{array}{l}\Rightarrow \overrightarrow{a}=-\left( \frac{K}{m} \right)\overrightarrow{m}=-{{\omega }^{2}}\overrightarrow{x}\end{array} \), \(\begin{array}{l}\left[ \overrightarrow{a}=\frac{{{d}^{2}}x}{d{{t}^{2}}} \right]\end{array} \), \(\begin{array}{l}\frac{{{d}^{2}}\overrightarrow{x}}{d{{t}^{2}}}=-{{\omega }^{2}}\overrightarrow{x}\end{array} \), \(\begin{array}{l}x=A\sin \omega \,t\end{array} \), \(\begin{array}{l}{{x}_{0}}=A\sin \phi\end{array} \), \(\begin{array}{l}x=A\sin \left( \omega t+\phi \right)\end{array} \), \(\begin{array}{l}I\frac{{{d}^{2}}\theta }{d{{t}^{2}}}=-K\theta\end{array} \), \(\begin{array}{l}\frac{{{d}^{2}}\theta }{d{{t}^{2}}}=-\left( \frac{K}{I} \right)\theta =-\omega _{0}^{2}\theta\end{array} \), \(\begin{array}{l}\frac{{{d}^{2}}\theta }{d{{t}^{2}}}=-\omega _{0}^{2}\theta =0\end{array} \), \(\begin{array}{l}\theta ={{\theta }_{0}}\sin \left( {{\omega }_{0}}t+\phi \right)\end{array} \), \(\begin{array}{l}\omega ={{\theta }_{0}}.\,{{\omega }_{0}}\cos \left( {{\omega }_{0}}t+\phi \right)\end{array} \), \(\begin{array}{l}\overrightarrow{a}\propto -\overrightarrow{x}\end{array} \), \(\begin{array}{l}\overrightarrow{a}=-{{\omega }^{2}}x\end{array} \), \(\begin{array}{l}\overrightarrow{a}=\frac{dv}{dx}\frac{dx}{dt}=v\frac{dv}{dx}\end{array} \), \(\begin{array}{l}\overrightarrow{a}=v\frac{dv}{dx}=-{{\omega }^{2}}x\end{array} \), \(\begin{array}{l}\int\limits_{0}^{v}{vdv}=\int\limits_{0}^{x}{-{{\omega }^{2}}xdx}\end{array} \), \(\begin{array}{l}\frac{{{v}^{2}}}{2}=\frac{-{{\omega }^{2}}{{x}^{2}}}{2}+c. WebWe can define electric flux as the measure of the distribution of the electric field or the rate of flow of the electric field through a given area. The sound waves are made to reflect equally throughout the hall or an auditorium thus enhancing their quality. (a) 5 10 6 NC-1 (b) 18 10 6 NC-1 (c) Stay tuned with BYJUS to learn more about types of resistors and other interesting Physics topics. 106. 69. The expression, and position of a particle as a function of time. The second equation states the divergence of the Magnetic Flux Density (B) is null. 136. 99. WebPhysics MCQs. He is engaging in: (a) everything the customer receives in an exchange. The equation (3) equation of position of a particle as a function of time. Put your understanding of this concept to test by answering a few MCQs. The same principle is used in SONAR (Sound Navigation And Ranging technique), used in oceanographic studies. At point A v = 0 [x = A] the equation (1) becomes, where v is the velocity of the particle executing simple harmonic motion from definition instantaneous velocity. WebThe formula for gravitational field intensity is given by, g = F/m = 10/5 = 2 N/kg. 82. She asks why the document says materials are transmitted in under five seconds when the development specifications state that the machine takes ten seconds to transmit a page. (d) intensity of a buyers feelings toward a certain object. WebThe magnitude of the electric field intensity at every point on the curved surface of the Gaussian surface (cylinder) is the same since all points are at the same distance from line charge. The periodic motion of gradually decreasing amplitude is called the damped simple harmonic motion. The unit of resistance is Ohm () where 1 = 1V/1A. Ans. Aggressive pricing is typical during the____________ stage of the product life cycle. Reason : The electric field lines of the charged rod are perpendicular to the surface of conductor. In this type of oscillatory motion, displacement, velocity and acceleration, and force vary (w.r.t time) in a way that can be described by either sine (or) the cosine functions collectively called sinusoids. Beatrice Company markets such diverse products as Rosarita Mexican foods and Samsonite luggage. \,\,That\,\, is\,\, defined \,\,by\,\, scalar \,\,current\,\, flowing\,\, per\,\, unit\,\, surface\,\, area.\end{array} \), \(\begin{array}{l}\vec{J}=\frac{I}{s} \hat{a}N \,\,measured\,\, using\,\, (A/m^2)\end{array} \), \(\begin{array}{l}\vec{J}=\frac{Difference\;in\;scalar\;electric\;field}{difference\;in\;vector\;surface\;area}\end{array} \), \(\begin{array}{l}\vec{J}=\frac{dI}{ds}\end{array} \), \(\begin{array}{l}dI=\vec{J}.d\vec{s}\end{array} \), \(\begin{array}{l}\Rightarrow I=\iint \vec{J}.d\vec{s} -(4)\end{array} \), \(\begin{array}{l}\Rightarrow \iint \left ( \bigtriangledown \times \vec{H} \right ).d\vec{l}=\iint \vec{J}.d\vec{s} (5)\end{array} \), \(\begin{array}{l}\vec{J}=\bigtriangledown \times \vec{H} (6)\end{array} \), \(\begin{array}{l}\bigtriangledown \times\vec{J}=\frac{\delta \rho v}{\delta t} (7)\end{array} \), \(\begin{array}{l}\bigtriangledown .\left ( \bigtriangledown\times \vec{H} \right ) =\bigtriangledown \times\vec{J}\end{array} \), \(\begin{array}{l}\bigtriangledown .\left ( \bigtriangledown\times \vec{H} \right ) =0 -(8)\end{array} \), \(\begin{array}{l}\frac{\delta \rho v}{\delta t}=0\end{array} \), \(\begin{array}{l}\left ( \bigtriangledown \times \vec{H} \right )=\vec{J}+\vec{G}(9)\end{array} \), \(\begin{array}{l}\bigtriangledown .\left ( \bigtriangledown \times \vec{H} \right )=\bigtriangledown .\left ( \vec{J}+\vec{G} \right )\end{array} \), \(\begin{array}{l}0=\bigtriangledown .\bar{J}+\bigtriangledown .\vec{G}\end{array} \), \(\begin{array}{l}\bigtriangledown .\vec{G}=-\bigtriangledown .\vec{J} (10)\end{array} \), \(\begin{array}{l}\bigtriangledown .\vec{G}=\frac{\delta \rho v}{\delta t} (11)\end{array} \), \(\begin{array}{l}\rho v=\bigtriangledown .\vec{D}\end{array} \), \(\begin{array}{l}\bigtriangledown .\vec{G}=\frac{\delta \left ( \bigtriangledown .\vec{D} \right )}{\delta t} (12)\end{array} \), \(\begin{array}{l}\frac{\delta }{\delta t}\,\,is \,\,time\,\, varient\,\, and\end{array} \), \(\begin{array}{l}\bigtriangledown .\vec{D}\end{array} \), \(\begin{array}{l}\bigtriangledown .\vec{G}= \bigtriangledown .\frac{\delta \left (\vec{D} \right )}{\delta t}\end{array} \), \(\begin{array}{l}\vec{G}= \frac{\delta \vec{D}}{\delta t}=\vec{J}_{D} (13)\end{array} \), \(\begin{array}{l}\left ( \bigtriangledown \times \vec{H} \right )=\vec{J}+\vec{G}\end{array} \), \(\begin{array}{l}\Rightarrow \left ( \bigtriangledown \times \vec{H} \right )=\vec{J}+\vec{J}_{D}\end{array} \), \(\begin{array}{l}\Rightarrow \left ( \bigtriangledown \times \vec{H} \right )=\vec{J}+\frac{\delta\vec{D} }{\delta t}\end{array} \), \(\begin{array}{l}\vec{J}_{D}\,\,is \,\,Displacement \,\,current \,\,density. A marketing policy is a statement of a course of action which will be followed under a given set of circumstances. Who said it? Customer Delight has always been our top priority and driving force. Sales usually start to decline ____ of the product life cycle. Magnetic field in a solenoid formula is given as B = 0 nl. Explanation: Intensity resolution can be defined as the total number of bits required to quantize an image. (c) an indirect influence on marketing activity. Simple harmonic motion can be described as an oscillatory motion in which the acceleration of the particle at any position is directly proportional to the displacement from the mean position. In the beer industry, a few large brewers supply the majority of the market. (d) an industrial product if it is used to light an assembly line in a factory. When a battery is disconnected, no electricity flows through the wire. This theory is called, 43. Test your Knowledge on Types of resistors. In its introduction of Stain master Carpets, DuPont used a pull policy. Thus, we arrive at Maxwells second equation. Answer (b) Though the net charge on the conductor is still zero but due to induction negatively charged region is WebDerivation of the electric field intensity due to a thin uniformly charged infinite plane sheet. As Shelly looks over the literature for the new fax machine her firm is about to introduce, she calls in the author of the material. The resistors are available in different shapes, size, and materials. 142. Case 3:If the particle is at one of its extreme positions x = A at t = 0. 73. Variation of Kinetic Energy and Potential Energyin Simple Harmonic Motion with displacement: If a particle is moving with uniform speed along the circumference of a circle, then the straight line motion of the foot of the perpendicular drawn from the particle on the diameter of the circle is called simple harmonic motion. Which alternative below is most accurate? "Sinc A charge q is to be divided on two small conducting spheres. Hence we can conclude that magnetic flux cannot be enclosed within a closed surface of any shape. Hence, no magnetic flux is induced in the iron (Magnetic Core). These various offerings exhibit Beatrices product mix. WebHigher intensity of rainstorms is the main cause of soil erosion. Four charges are arranged at the corners of a square ABCD, as shown in the adjoining figure. Children with muscular dystrophy who receive treatments developed through research programs funded by MDA would represent ________________ for this charitable organisation. The force acting on the particle is negative of the displacement. The electrostatic field due to a charged conductor just outside the conductor is: The law, governing the force between electric charges is known as, Fg and Fe represents gravitational and electrostatic force respectively between electrons situated at a distance 10 cm. Before uploading and sharing your knowledge on this site, please read the following pages: 1. The minimum time after which the particle keeps on repeating its motion is known as the time period (or) the shortest time taken to complete one oscillation is also defined as the time period. Select the correct answer and click on the "Finish" button Check your score and explanations at the end of the quiz. This is: Marketing Management, Questions and Answers, MCQs. A culture can be divided into subcultures according to. It is a passive two-terminal device which is used to regulate the flow of electric current. We can conclude that the current density vector is a curl of the static magnetic field vector. Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot, A particle having chargeq1exerts F electrostatic force on chargeq2at rest. Click Start Quiz to begin! (d) Takes ownership of goods for the retailer. It is inversely proportional to the square of the distance between the point and the source. Susan has left her parents home and moved into a new flat. It is a passive two-terminal device which is used to regulate the flow of electric current. The difference of total phase angles of two particles executing simple harmonic motion with respect to the mean position is known as the phase difference. It is unipolar i.e. With more than a decade of experience and expertise in the field of power transmission, we have been successfully rendering our services to meet the various needs of our customers. (b) a role. Frequency = 1/T and, angular frequency = 2f = 2/T. What type of competitive structure exists when a firm produces a product that has no close substitutes? Ans. MOV or metal oxide varistor is the most commonly used form of varistor resistors. WebElectric Field Intensity (E) = q/[4d 2] NC-1. 5. WebYoung's Double Slit Experiment - Get to know the main objectives of Double Slit Experiment with Derivation, Position, Width, Shape and Intensity of Fringes with Special Cases. F = -kx KPTCL, BESCOM, MESCOM, CESC, GESCOM, HESCOM etc are just some of the clients we are proud to be associated with. Maxwells 3rd equation is derived from Faradays laws of Electromagnetic Induction.It states that Whenever there are n-turns of conducting coil in a closed path placed in a time-varying magnetic field, an alternating electromotive force gets induced in 70. WebBrowse our listings to find jobs in Germany for expats, including jobs for English speakers or those in your native language. Learn fluid dynamics, calculation of force and moments, determining the mass, flow rate of petroleum through pipelines at BYJU'S. Resistor is a passive two-terminal device which is used to regulate the flow of electric current. Four types of soil erosion are caused by rainfall: Rill erosion; Gully erosion; Sheet erosion; Splash erosion; The raindrops disperse the soil, which is then washed away into the nearby streams and rivers. (a) the internal traits and behaviours that make a person unique. Q.20. Since moving charge interacts with a magnetic field, we might expect that it also creates that field. MCQs in all electrical engineering subjects including analog and digital communications, control systems, power electronics, electric circuits, A good control system should active corrective action no-sooner_________ occur. Sound propagates as a mechanical wave, through a medium such as air or water. 104. WebMoment of Inertia - Understand the concepts of moment of inertia of system of particles and rigid bodies. Maxwells equations integral form explain how the electric charges and electric currents produce magnetic and electric fields. A highly experienced and efficient professional team is in charge of our state-of-the-art equipped manufacturing unit located at Belavadi, Mysore. Marketing managers at London Equipment Company are involved in establishing marketing performance standards, evaluating performance, and reducing the differences between actual and desired performance. The final step in the marketing control process is to. 128. Frequency:The number of oscillations per second is defined as thefrequency. Suppose the wire carries a current I, the current produces a magnetic field that surrounds the wire. 57. At the later time (t), the particle is at Q. Here, in these NCERT Solutions for Class 12 Physics, Image Guidelines 4. By using a wholesaler, Inversoft Ltd. has a distinct advantage because the specialised services performed by the wholesaler allow the firm to: (a) Focus on developing and manufacturing products that match consumers needs and wants. Plagiarism Prevention 5. I have fallen love with my subjects due to byjus. (the path is not a constraint). Which is the barriers to on-line Marketing? 64. A small hardware store whose only competitor is a huge discount store would be least likely to use which competitive tool? Applying the Gauss divergence theorem to equation (2), we can convert it(surface integral). 88. Put your understanding of this concept to test by answering a few MCQs. 84. (2)\end{array} \), \(\begin{array}{l}v =\frac{dx}{dt}=\omega \sqrt{{{A}^{2}}-{{x}^{2}}}\end{array} \), \(\begin{array}{l}\Rightarrow \int{\frac{dx}{\sqrt{{{A}^{2}}-{{x}^{2}}}}}=\int\limits_{0}^{t}{\omega dt}\end{array} \), \(\begin{array}{l}\Rightarrow {{\sin }^{-1}}\left( \frac{x}{A} \right)=\omega t+\phi\end{array} \), \(\begin{array}{l}\Rightarrow {{\sin }^{-1}}\left( \frac{{{x}_{0}}}{A} \right)=\phi\end{array} \), \(\begin{array}{l}{{\sin }^{-1}}\left( \frac{O}{A} \right)=\phi\end{array} \), \(\begin{array}{l}\Rightarrow {{\sin }^{-1}}\left( \frac{A}{A} \right)=\phi\end{array} \), \(\begin{array}{l}\Rightarrow {{\sin }^{-1}}\left( 1 \right)=\phi\end{array} \), \(\begin{array}{l}\text{We can find particles, displacement}\ \left( \overrightarrow{x} \right), \text{velocity}\ \left( \overrightarrow{v} \right) \text{and acceleration as follows}.\end{array} \), \(\begin{array}{l}v = \frac{d}{dt}A\sin \left( \omega t+\phi \right)=\omega A\cos \left( \omega t+\phi \right)\end{array} \), \(\begin{array}{l}v = A\omega \sqrt{1-{{\sin }^{2}}\omega t}\end{array} \), \(\begin{array}{l}\frac{{{x}^{2}}}{{{A}^{2}}}={{\sin }^{2}}\omega \,t\end{array} \), \(\begin{array}{l}\Rightarrow v = A\omega \sqrt{1-\frac{{{x}^{2}}}{{{A}^{2}}}}\end{array} \), \(\begin{array}{l}\Rightarrow v = \omega \sqrt{{{A}^{2}}-{{x}^{2}}}\end{array} \), \(\begin{array}{l}\Rightarrow {{v}^{2}}={{\omega }^{2}}\left( {{A}^{2}}-{{x}^{2}} \right)\end{array} \), \(\begin{array}{l}\Rightarrow \frac{{{v}^{2}}}{{{\omega }^{2}}}=\left( {{A}^{2}}-{{x}^{2}} \right)\end{array} \), \(\begin{array}{l}\Rightarrow \frac{{{v}^{2}}}{{{\omega }^{2}}{{A}^{2}}}=\left( 1-\frac{{{x}^{2}}}{{{A}^{2}}} \right)\end{array} \), \(\begin{array}{l}\Rightarrow \frac{{{v}^{2}}}{{{A}^{2}}}+\frac{{{v}^{2}}}{{{A}^{2}}{{\omega }^{2}}}=1\end{array} \), \(\begin{array}{l}\overrightarrow{a}=\frac{dv}{dt}=\frac{d}{dt}\left( A\omega \cos \omega t+\phi \right)\end{array} \), \(\begin{array}{l}\Rightarrow \overrightarrow{a}=-{{\omega }^{2}}A\sin \left( \omega t+\phi \right)\end{array} \), \(\begin{array}{l}\Rightarrow \left| a \right|=-{{\omega }^{2}}x\end{array} \), \(\begin{array}{l}v = A\omega \cos \left( \omega t+\phi \right)=\omega \sqrt{{{A}^{2}}-{{x}^{2}}}\end{array} \), \(\begin{array}{l}a = -A{{\omega }^{2}}\sin \left( \omega t+\phi \right)=-{{\omega }^{2}}x\end{array} \), \(\begin{array}{l}\text{the displacement}\ \left( \overrightarrow{x} \right),\ \text{velocity}\ \left( \overrightarrow{v} \right)\ \text{and acceleration}\ \left( \overrightarrow{a} \right)\ \text{at any time t are given by}\end{array} \), \(\begin{array}{l}a = -{{\omega }^{2}}A\sin \left( \omega t+\phi \right)=-{{\omega }^{2}}x\end{array} \), \(\begin{array}{l}\text{The restoring force}\ \left( \overrightarrow{F} \right)\ \text{acting on the particle is given by}\end{array} \), \(\begin{array}{l}=\frac{1}{2}m{{v}^{2}}\ \left[ Since, \;{{v}^{2}}={{A}^{2}}{{\omega }^{2}}{{\cos }^{2}}\left( \omega t+\phi \right) \right]\end{array} \), \(\begin{array}{l}=\frac{1}{2}m{{\omega }^{2}}{{A}^{2}}{{\cos }^{2}}\left( \omega t+\phi \right)\end{array} \), \(\begin{array}{l}=\frac{1}{2}m{{\omega }^{2}}\left( {{A}^{2}}-{{x}^{2}} \right)\end{array} \), \(\begin{array}{l}=\frac{1}{2}m{{\omega }^{2}}{{A}^{2}}{{\cos }^{2}}\left( \omega t+\phi \right)=\frac{1}{2}m{{\omega }^{2}}\left( {{A}^{2}}-{{x}^{2}} \right)\end{array} \), \(\begin{array}{l}w = \int{dw}=\int\limits_{0}^{x}{-kxdx=\frac{-k{{x}^{2}}}{2}}\end{array} \), \(\begin{array}{l}= -\frac{m{{\omega }^{2}}{{x}^{2}}}{2}\end{array} \), \(\begin{array}{l}\left[ \,k=m{{\omega }^{2}} \right]\end{array} \), \(\begin{array}{l}= -\frac{m{{\omega }^{2}}}{2}{{A}^{2}}{{\sin }^{2}}\left( \omega t+\phi \right)\end{array} \), \(\begin{array}{l}=\frac{m{{\omega }^{2}}{{x}^{2}}}{2}=\frac{m{{\omega }^{2}}{{A}^{2}}}{2}{{\sin }^{2}}\left( \omega t+\phi \right)\end{array} \), \(\begin{array}{l}E = \frac{1}{2}m{{\omega }^{2}}\left( {{A}^{2}}-{{x}^{2}} \right)+\frac{1}{2}m{{\omega }^{2}}{{x}^{2}}\end{array} \), \(\begin{array}{l}E = \frac{1}{2}m{{\omega }^{2}}{{A}^{2}}\end{array} \), \(\begin{array}{l}\overrightarrow{{{a}_{c}}}=A{{\omega }^{2}}\end{array} \), \(\begin{array}{l}{{a}_{N}}=A{{\omega }^{2}}{{\sin }^{2}}\left( \omega t+\phi \right)\end{array} \), \(\begin{array}{l}{{a}_{L}}=A{{\omega }^{2}}{{\cos }^{2}}\left( \omega t+\phi \right)\end{array} \), Difference betweenPeriodic, Oscillation andSimple Harmonic Motion, Simple Harmonic Motion Equation and its Solution, Solutions ofDifferential Equations of SHM, Conditions for an Angular Oscillation to be Angular SHM, Equation of Position of a Particle as a Function of Time, Necessary conditions for Simple Harmonic Motion, Velocity of a particle executing Simple Harmonic Motion, Total Mechanical Energy of the Particle Executing SHM, Geometrical Interpretation of Simple Harmonic Motion, Problem-Solving Strategy in Horizontal Phasor, Frequently Asked Questions on Simple Harmonic Motion, Test your knowledge on 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The intensity of sound is defined as the amount of energy passing through the unit area at that point. Sound is defined as oscillations or auditory sensations evoked by oscillations in particle displacement or velocity, propagated in a medium with internal force. normal to the surface at every point and zero inside the conductor. (a) convenience products as compared with the number of specialty products. A light bulb can be considered all of the following except. The function that adjusts the organizations offering to the changing needs of the market place is the function of: 111. (3). Since reflective surfaces such as mirrors are very good at preserving the intensity of light in a reflection, a single light source can be reflected multiple times. 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