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. |
The bulk modulus of a spherical object is \(B\). If it is subjected to uniform pressure \(P\), the fractional decrease in radius will be:
1. \(\frac{P}{B}\)
2. \(\frac{B}{3P}\)
3. \(\frac{3P}{B}\)
4. \(\frac{P}{3B}\)
1. | \(1:2\) | 2. | \(2:1\) |
3. | \(4:1\) | 4. | \(1:1\) |
The following four wires are made of the same material. Which of them will have the largest extension when the same tension is applied?
(1) Length=50 cm, diameter=0.5 mm
(2) Length=100 cm, diameter=1 mm
(3) Length=200 cm, diameter=2 mm
(4) Length=300 cm, diameter=3 mm
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. | \(F/4\) |