During elastic impact, the relative velocity of the two bodies after impact is __________ the relative velocity of the two bodies before impact.

Three elastic constants for a completely anisotropic elastic material which follows the Hooke's law are young's modulus, elastic limit stress and yield stress. Which of the following properties is most sensitive to increase in strain rate ?

A

Tensile strength

B

Elastic limit

C

Proportional limit

D

Yield strength

Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation

A

Is directly proportional to their velocity of approach

B

Is inversely proportional to their velocity of approach

C

Bears a constant ratio to their velocity of approach

D

Is equal to the sum of their velocities of approach

Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity ‘v’ is made to strike the second ball. Both the balls after impact will move with a velocity

A

$${\text{v}}$$

B

$$\frac{{\text{v}}}{2}$$

C

$$\frac{{\text{v}}}{4}$$

D

$$\frac{{\text{v}}}{8}$$

The phenomenon of collision of two elastic bodies takes place because bodies

A

Immediately after collision come momentarily to rest

B

Tend to compress each other till they are compressed maximum possible

C

Attempt to regain its original shape due to their elasticities

D

All the above

A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is

A

v

B

2v

C

4v

D

8v

A highly elastic material is deformed least on loading and retains its original form on removal of the load. Which of the following is the most elastic material?

A

Steel

B

Glass

C

Rubber

D

Brass

Which of the following relationships is correct for relating the three elastic constants of an isotropic elastic material (where, E = Young's modulus, G = Modulus of rigidity or shear modulus v = Poisson's ratio)?

A

E = 2G (1 + v)

B

E = G (1 + v)

C

$${\text{E}} = \frac{{{\text{G}}\left( {1 + {\text{v}}} \right)}}{2}$$

D

E = 2G (1 + 2v)

All materials obey Hooke's law within elastic limit. When elastic limit is reached, the tensile strain

A

Increases very quickly

B

Decreases very quickly

C

Increases in proportion to stress

D

Decreases in proportion to stress

In impulse turbines, when friction is neglected, the relative velocity of steam at outlet tip of the blade is _________ the relative velocity of steam at inlet tip of the blade.

A

Equal to

B

Less than

C

Greater than

D

None of these

When two elastic bodies collide with each other,

A

The two bodies will momentarily come to rest after collision

B

The two bodies tend to compress and deform at the surface of contact

C

The two bodies begin to regain their original shape

D

All of the above

During elastic impact, the relative velocity of the two bodies after impact is __________ the relative velocity of the two bodies before impact.

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