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Q.

In the figure, the block of mass m attached to the spring of stiffness k is in contact with the completely elastic wall, and the compression in the spring is e. The spring is compressed further by e by displacing the block towards left and is then released. If the collision between the block and the wall is completely elastic, then the time period of oscillations of the block will be

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a

2π3mk

b

2π mk

c

π3mk

d

π6mk

answer is A.

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Detailed Solution

From e to 2e or A2to A, t=T6∴   Time period of oscillation =2t=T3=2π3mk
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In the figure, the block of mass m attached to the spring of stiffness k is in contact with the completely elastic wall, and the compression in the spring is e. The spring is compressed further by e by displacing the block towards left and is then released. If the collision between the block and the wall is completely elastic, then the time period of oscillations of the block will be