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Q. No.A metal string \(A\) \(M.\) \(B\) \(A\) \(B\) \(A\) \(Y_A/Y_B\)
1. \(1\)
2. \(4\)
3. \(8\)
4. \(6\)
1. \(1\)
2. \(4\)
3. \(8\)
4. \(6\)
Subtopic: Young's modulus |
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Level 2: 60%+
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Figure represents the extension \((\Delta{l})\) of a wire of length \(1\) meter, suspended from the ceiling of the room at one end with a load \(W\) connected to the other end. If the cross-sectional area of the wire is \(10^{-5}~ \text{m}^{2}\) then the Young's modulus of the wire is: (in \(\text{N/m}^2\))
1. \(1.0 \times 10^{11}\)
2. \(2.0 \times 10^{10} \)
3. \(1.0 \times 10^{10} \)
4. \(2.0 \times 10^{11}\)
1. \(1.0 \times 10^{11}\)
2. \(2.0 \times 10^{10} \)
3. \(1.0 \times 10^{10} \)
4. \(2.0 \times 10^{11}\)
Subtopic: Young's modulus |
Level 4: Below 35%
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The two wires \(A\) and \(B\) of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire \(A\) and wire \(B\) is \(20/11\). When the joined wire is kept under certain tension the elongation in the wires \(A\) and \(B\) are equal. If the length of wire \(A\) is \(2.2~\text{m},\) then the length of wire \(B\) is: (in m)
1. \(1.1\)
2. \(2.22\)
3. \(1.21\)
4. \(4.44\)
1. \(1.1\)
2. \(2.22\)
3. \(1.21\)
4. \(4.44\)
Subtopic: Young's modulus |
86%
Level 1: 80%+
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The diameter of a wire measured by a screw gauge of least count \(0.001\) cm is \(0.08\) cm. The length measured by a scale of least count \(0.1\) cm is \(150\) cm. When a weight of \(100~\text{N}\) is applied to the wire, the extension in length is \(0.5\) cm, measured by a micrometer of least count \(0.001\) cm. The error in the measured Young's modulus is \(\alpha \times 10^{9} ~\text{N/m}^2 \)
(Ignore the contribution of the load to Young's modulus error calculation)
1. \(1.3\)
2. \(1.65\)
3. \(0.13\)
4. \(0.25\)
(Ignore the contribution of the load to Young's modulus error calculation)
1. \(1.3\)
2. \(1.65\)
3. \(0.13\)
4. \(0.25\)
Subtopic: Young's modulus |
69%
Level 2: 60%+
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A uniform wire of length \(l\) of weight \(w\) is suspended from the roof with weight of \(W\) at the other end. The stress in the wire at \(\dfrac{l}{3}\) distance from the top is \(\left(\dfrac{W}{A}+\dfrac{2}{\gamma} \dfrac{w}{A}\right)~\), where, \(A\) is the cross sectional area of the wire. The value of \(\gamma\) is:
1. \(2\)
2. \(3\)
3. \(5\)
4. \(6\)
1. \(2\)
2. \(3\)
3. \(5\)
4. \(6\)
Subtopic: Stress - Strain |
77%
Level 2: 60%+
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The Young's modulus of steel wire of radius \(r\) and length \( L\) is \(Y\). If the radius \(r\) and length \(L\) of the wire are doubled then the value of \(Y\).
1. increases by two times
2. reduces by half
3. remains unchanged
4. becomes one fourth
1. increases by two times
2. reduces by half
3. remains unchanged
4. becomes one fourth
Subtopic: Young's modulus |
93%
Level 1: 80%+
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A cube has side length \(5 ~\text {cm}\) and modulus of rigidity \(10^5 ~\text{N/m}^2 .\) The displacement produced by a force of \(10 ~\text N\) in the upper face of cube is: (in mm)
1. \(5\)
2. \(3\)
3. \(2\)
4. \(6\)
1. \(5\)
2. \(3\)
3. \(2\)
4. \(6\)
Subtopic: Shear and bulk modulus |
73%
Level 2: 60%+
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A copper wire of length \(3~\text{m}\) is stretched by \(3~\text{mm}\) by applying an external force. The volume of the wire is \(600 \times 10^{-6} ~\text{m}^3\)
(Given Young modulus of copper \(=1.1 \times 10^{11} ~\text{N}/\text{m}^2\))
1. \(50\)
2. \(33\)
3. \(60\)
4. \(20\)
(Given Young modulus of copper \(=1.1 \times 10^{11} ~\text{N}/\text{m}^2\))
1. \(50\)
2. \(33\)
3. \(60\)
4. \(20\)
Subtopic: Potential energy of wire |
75%
Level 2: 60%+
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A string \(A\) \(2\times 10^{10}~\text{N/m}^2\)
(radius of both the strings is \(0.2~\text{mm}\) and acceleration due to gravity \(=10~\text{m/s}^2\)) (Mass of both strings is to be neglected as compared to the mass of load)
1. \(3\)
2. \(2\)
3. \(1.9\)
4. \(1\)
(radius of both the strings is \(0.2~\text{mm}\) and acceleration due to gravity \(=10~\text{m/s}^2\)) (Mass of both strings is to be neglected as compared to the mass of load)
1. \(3\)
2. \(2\)
3. \(1.9\)
4. \(1\)
Subtopic: Young's modulus |
75%
Level 2: 60%+
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The strain-stress plot for materials \(A,B,C~\text{and}~D\) is shown in the figure. Which material has the largest Young's modulus?
1. \(C\)
2. \(D\)
3. \(A\)
4. \(B\)
1. \(C\)
2. \(D\)
3. \(A\)
4. \(B\)
Subtopic: Stress - Strain Curve |
91%
Level 1: 80%+
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