Home
Class 11
PHYSICS
A highly rigid cubical block A of small ...

A highly rigid cubical block A of small mass `M` and slide `L` is fixed rigidly on to 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 A small force `F` is applied perpendicular to one of the sides faces of A. After the force is withdrawn, block A executes small oscillations the time period of which is given by.

A

`2pi sqrt((M eta)/(L))`

B

`2pi sqrt((L)/(M eta))`

C

`2pi sqrt((ML)/(eta))`

D

`2pi sqrt((M)/(eta L))`

Text Solution

Verified by Experts

The correct Answer is:
D
Using dimension substituting method
`2pi sqrt((M)/(eta L)) = [(M)/(ML^(-1)T^(-2))]^((1)/(2)) = T`
`eta rarr` modulus rigidity `= ("Stress")/("Strain")`
Promotional Banner

Similar Questions

Explore conceptually related problems

A highly rigid cubical block A of small mass M and side L is fixed rigidly on the other cubical block of same dimensions and of modulus of rigidity eta 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 After the force is withdrawn , block A executes faces of A . After the force is withdrawn , block A exceutes small oscillations , the time period of which is given by

A cubical block of side a and of mass m rests on a rough horizontal surface. A horizontal force F is applied to normal to one of the faces at height h above the base hgta//2 . What is the minimum value of F for which the cube begins to tip about an edge?

In previous question the gauge pressure at the lower face of the block is

One of the square faces of a metal slab of side 50 cm and thickness 20 cm is rigidly fixed on a horizontal surface. If a tangential force of 30 N is applied to the top face and it is known that the shear modulus of the material is 4 xx 10^(10) N//m^(2) , then the displacement (in m) of the top face is

A cubical block of side 10 cm floats at the interface of an oil and water. The pressure above that of atmosphere at the lower face of the block is

A force Fis tangentially applied on the upper face of a cube of side b and whose lower face is fixed. If modulus of rigidity is n then upper surface of cube is shifted to

A cubical block of side 10cm floats at the interface of an oil and water as shown in the figure. The density of oil is 0.6g cm^(-3) and the lower face of ice cube is 2cm below the interface. The pressure above that of the atomosphere at the lower face of the block is

A cube with all six faces coloured is cut into 64 cubical blocks of the same size which are thoroughly mixed.Find the probability that the 2 randomly chosen blocks have 2 coloured faces each.

A block B of mass 0.6kg slides down the smooth face PR of a wedge A of mass 1.7kg which can move freely on a smooth horizontal surface. The inclination of the face PR to the horizontal is 45^(@) . Then :