A gas undergoes a process in which its pressure P and volume V are related as . The bulk modulus for the gas in the process is:
[This question includes concepts from Kinetic Theory chapter]
1.
2.
3. nP
4.
The Young's modulus of a wire of length 'L' and radius 'r' is 'Y'. If length is reduced to L/2 and radius r/2, then Young's modulus will be
1. Y/2
2. Y
3. 2Y
4. 4Y
Three wires \(A,B,C\) made of the same material and radius have different lengths. The graphs in the figure show the elongation-load variation. The longest wire is:
1. \(A\)
2. \(B\)
3. \(C\)
4. All of the above
The breaking stress of a wire depends upon:
1. | material of the wire. |
2. | length of the wire. |
3. | radius of the wire. |
4. | shape of the cross-section. |
When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one, then the increase in length will be -
1. 0.5 cm
2. 2 cm
3. 4 cm
4. 8 cm
The material which practically does not show elastic after effect is
1. Copper
2. Rubber
3. Steel
4. Quartz
A force \(F\) is needed to break a copper wire having radius \(R.\) The force needed to break a copper wire of radius \(2R\) will be:
1. | \(F/2\) | 2. | \(2F\) |
3. | \(4F\) | 4. | \(F/4\) |
The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity n is
1.
2.
3.
4.
The Young's modulus of a rubber string 8 cm long and density is , is suspended on the ceiling in a room. The increase in length due to its own weight will be
1.
2.
3.
4. 9.6 m
A and B are two wires of same material. The radius of A is twice that of B. They are stretched by the same load. Then the stress on B is
1. Equal to that on A
2. Four times that on A
3. Two times that on A
4. Half that on A