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The displacement of a particle executing is given by . If is the time period and the mass of the particle is , the kinetic energy of the particle when is given by:

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0.4 J

3 J

answer is D.

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Detailed Solution

Concept- Here we will proceed by using the formula of Velocity of particle i.e.

. Then we will use the formula of

using the given displacement, mass and time to get the required answer.
Formula used-
1.

The displacement of particle, executing

Velocity of particle

Velocity at

Now, putting value of T in eQ. (II), WE GET

The kinetic energy of particle,

Hence, option 4 is correct.

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