A hollow shaft will transmit a __________ torque than a solid shaft of the same mass and same material.

A hollow shaft of same cross-section area as compared to a solid shaft transmit

A

Same torque

B

Less torque

C

More torque

D

Unpredictable

Two shafts ‘A’ and ‘B’ under pure torsion are of identical length and identical weight and are made of the same material. The shaft ‘A’ is solid and the shaft ‘B’ is hollow. We can say that

A

Shaft B is better than shaft A

B

Shaft A is better than shaft B

C

Both the shafts are equally good

D

None of these

Two shafts A and B are made of the same material. The diameter of shaft A is twice as that of shaft B. The power transmitted by the shaft A will be __________ of shaft B.

A

Twice

B

Four times

C

Eight times

D

Sixteen times

The torque transmitted by a hollow shaft of outer diameter (D) and inner diameter (d) is

A

$$\frac{\pi }{4} \times \tau \left( {\frac{{{{\text{D}}^2} - {{\text{d}}^2}}}{{\text{D}}}} \right)$$

B

$$\frac{\pi }{{16}} \times \tau \left( {\frac{{{{\text{D}}^3} - {{\text{d}}^3}}}{{\text{D}}}} \right)$$

C

$$\frac{\pi }{{16}} \times \tau \left( {\frac{{{{\text{D}}^4} - {{\text{d}}^4}}}{{\text{D}}}} \right)$$

D

$$\frac{\pi }{{32}} \times \tau \left( {\frac{{{{\text{D}}^4} - {{\text{d}}^4}}}{{\text{D}}}} \right)$$

When two shafts of same length, one of which is hollow, transmit equal torques and have equal maximum stress, then they should have equal

A

Polar moment of inertia

B

Polar modulus

C

Diameter

D

Angle of twist

The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft and $$I$$ = Mass moment of inertia of the disc attached at the end of a shaft)

A

$$2\pi \sqrt {\frac{{\text{q}}}{I}} $$

B

$$2\pi \sqrt {{\text{q}}I} $$

C

$$\frac{1}{{2\pi }}\sqrt {\frac{{\text{q}}}{I}} $$

D

$$\frac{1}{{2\pi }}$$

A hollow sphere and a solid sphere of the same material and equal radii are heated to the same temperature. In this case,

A

The cooling rate will be the same for the two spheres and hence the two spheres will have equal temperatures at any instant

B

Both the spheres will emit equal amount of radiation per unit time in the beginning

C

Both will absorb equal amount of radiation from the surrounding in the beginning

D

Both B & C

L is older than M and taller than N. O is younger than P, older than N and shorter than Q. R is older than S, younger than N, shorter than S and taller than Q. S is older than L, M, O, P, Q, R and S is necessarily false?

A

O is the shortest of the group.

B

N is the second tallest of the group.

C

L is the tallest of the group.

D

Q is the third oldest of the group.

A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

A

$$\frac{{\text{M}}}{{\text{T}}}$$

B

$$\frac{{\text{T}}}{{\text{M}}}$$

C

$$\frac{{2{\text{M}}}}{{\text{T}}}$$

D

$$\frac{{2{\text{T}}}}{{\text{M}}}$$

The ratio of the actual mass of water vapour in a unit mass of dry air to the mass of water vapour in the same mass of dry air when it is saturated at the same temperature and pressure, is called

A

Humidity ratio

B

Relative humidity

C

Absolute humidity

D

Degree of saturation

A hollow shaft will transmit a __________ torque than a solid shaft of the same mass and same material.

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