Q.

A highly rigid cubical block A of small mass M and side L is fixed rigidly on the another cubical block of same dimensions and of low modulus of rigidity η such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on a horizontal surface. A small force F is applied perpendicular to one of the side faces of A, After the force is withdrawn, brock A executes small oscillations, the time period of which is given by

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a

2πMηL

b

2π(Mη/L)

c

2π(ML/η)

d

2π(M/ηL)

answer is D.

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Detailed Solution

We know that the dimensions of η (Modulus of rigidity) is [η]=ML−1T−2Hence MηL=[M]ML−1T−2[L]=T2=[T]
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A highly rigid cubical block A of small mass M and side L is fixed rigidly on the another cubical block of same dimensions and of low modulus of rigidity η such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on a horizontal surface. A small force F is applied perpendicular to one of the side faces of A, After the force is withdrawn, brock A executes small oscillations, the time period of which is given by