SATHEE: Physics And Measurement Question 30

Physics And Measurement Question 30

Question: A highly rigid cubical block $A$ of small mass $M$ and side $L$ is fixed rigidly onto another cubical block $B$ of the 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 After the force is withdrawn block $A$ executes small oscillations. The time period of which is given by

[IIT 1992]

Options:

A) $2 π \sqrt{\frac{M η}{L}}$

B) $2 π \sqrt{\frac{L}{M η}}$

C) $2 π \sqrt{\frac{M L}{η}}$

D) $2 π \sqrt{\frac{M}{η L}}$

Show Answer

Answer:

Correct Answer: D

Solution:

By substituting the dimensions of mass [M], length [L] and coefficient of rigidity $[M L^{- 1} T^{- 2}]$ we get $T = 2 π \sqrt{\frac{M}{η L}}$ is the right formula for time period of oscillations

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Physics And Measurement Question 30

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