Question

A highly rigid cubical block A of small mass M and side L is fixed rigidly on to another cubical block of same dimensions and of low modulus of rigidity h 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 A small force F is applied perpendicular to one of the side faces of A. After the force is withdrawn, block A executes small oscillations, the time period of which is given by-

• A. $2\pi\sqrt{M\eta L}$
• B. $2\pi\sqrt{\frac{M\eta}{L}}$
• C. $2\pi\sqrt{\frac{ML}{\eta}}$
• D. $2\pi\sqrt{\frac{M}{\eta L}}$

Answer 1

Answer: (D)

$2\pi\sqrt{\frac{M}{\eta L}}$

Answer 2

According to question

T µ M^ah^bL^c

[M⁰L⁰T¹] = [M¹]^a[M¹L^-1T^-2]^b[L¹]^c