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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Choose the correct option: The graph shows variation of displacement of a particle performing S.H.M. with time t. Which of the following statements is correct from the graph? - Physics

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प्रश्न

Choose the correct option:

The graph shows variation of displacement of a particle performing S.H.M. with time t. Which of the following statements is correct from the graph?

पर्याय

  • The acceleration is maximum at time T.

  • The force is maximum at time `(3T)/4`.

  • The velocity is zero at time `T/2`.

  • The kinetic energy is equal to total energy at a time `T/4`.

MCQ
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उत्तर

The force is maximum at a time `(3T)/4`.

Explanation:

Express the relation of force. F = ma

Here, m is the mass of the particle.

a is the acceleration. 

Since acceleration is maximum at extreme positions, Force is also maximum at extreme positions. At time `(3T)/4` particle is at extreme position. Therefore, at `(3T)/4` force is maximum.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Oscillations - Exercises [पृष्ठ १२९]

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बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 5 Oscillations
Exercises | Q 1.5 | पृष्ठ १२९

संबंधित प्रश्‍न

Answer in brief.

Using differential equations of linear S.H.M, obtain the expression for (a) velocity in S.H.M., (b) acceleration in S.H.M.


Acceleration of a particle executing S.H.M. at its mean position.


A particle is performing S.H.M. of amplitude 5 cm and period of 2s. Find the speed of the particle at a point where its acceleration is half of its maximum value.


For a particle performing SHM when displacement is x, the potential energy and restoring force acting on it is denoted by E and F, respectively. The relation between x, E and F is ____________.


Two identical wires of substances 'P' and 'Q ' are subjected to equal stretching force along the length. If the elongation of 'Q' is more than that of 'P', then ______.


The phase difference between the instantaneous velocity and acceleration of a particle executing S.H.M is ____________.


If 'α' and 'β' are the maximum velocity and maximum acceleration respectively, of a particle performing linear simple harmonic motion, then the path length of the particle is _______.


The distance covered by a particle undergoing SHM in one time period is (amplitude = A) ____________.


Which of the following represents the acceleration versus displacement graph of SHM?


A particle executing S.H.M. has amplitude 0.01 m and frequency 60 Hz. The maximum acceleration of the particle is ____________.


A body of mass 5 g is in S.H.M. about a point with amplitude 10 cm. Its maximum velocity is 100 cm/s. Its velocity will be 50 cm/s at a distance of, ____________.


The displacement of a particle is 'y' = 2 sin `[(pit)/2 + phi]`, where 'y' is cm and 't' in second. What is the maximum acceleration of the particle executing simple harmonic motion? 

(Φ = phase difference)


The length of the second's pendulum is decreased by 0.3 cm when it is shifted from place A to place B. If the acceleration due to gravity at place A is 981 cm/s2, the acceleration due to gravity at place B is ______ (Take π2 = 10)


A body is executing S.H.M. Its potential energy is E1 and E2 at displacements x and y respectively. The potential energy at displacement (x + y) is ______.


A simple pendulum of length 'L' is suspended from a roof of a trolley. A trolley moves in horizontal direction with an acceleration 'a'. What would be the period of oscillation of a simple pendulum?

(g is acceleration due to gravity)


The bob of a simple pendulum is released at time t = 0 from a position of small angular displacement. Its linear displacement is ______.

(l = length of simple pendulum and g = acceleration due to gravity, A = amplitude of S.H.M.)


A block of mass 16 kg moving with velocity 4 m/s on a frictionless surface compresses an ideal spring and comes to rest. If force constant of the spring is 100 N/m then how much will be the spring compressed?


The displacement of the particle performing S.H.M. is given by x = 4 sin πt, where x is in cm and t is in second. The time taken by the particle in second to move from the equilibrium position to the position of half the maximum displacement, is ______.

`[sin30^circ=cos60^circ=0.5, cos30^circ=sin60^circ=sqrt3/2]`


The displacement of a particle in S.H.M. is x = A cos `(omegat+pi/6).` Its speed will be maximum at time ______.


The displacements of two particles executing simple harmonic motion are represented as y1 = 2 sin (10t + θ) and y2 = 3 cos 10t. The phase difference between the velocities of these waves is ______.


In figure, a particle is placed at the highest point A of a smooth sphere of radius r. It is given slight push and it leaves the sphere at B, at a depth h vertically below A, such that h is equal to ______.


A spring of force constant of 400 N/m is loaded with a mass of 0.25 kg. The amplitude of oscillations is 4 cm. When mass comes to the equilibrium position. Its velocity is ______.


In the given figure, a = 15 m/s2 represents the total acceleration of a particle moving in the clockwise direction on a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is ______.


For a particle performing circular motion, when is its angular acceleration directed opposite to its angular velocity?


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