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Q. No.Subtopic: Significant Figures |
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If the error in the measurement of mass is \(0.8\%\) and in volume it is \(0.4 \%,\) then the error in the measurement of density is:
1. \(1.2 \%\)
2. \(0.4 \%\)
3. \(0.8\%\)
4. \(1 \%\)
1. \(1.2 \%\)
2. \(0.4 \%\)
3. \(0.8\%\)
4. \(1 \%\)
Subtopic: Errors |
88%
Level 1: 80%+
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The dimensional formula of viscous force is:
1. \( {\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]} \)
2. \( {\left[\mathrm{ML} \mathrm{T}^{-2}\right]} \)
3. \( {\left[\mathrm{M} \mathrm{L^2} \mathrm{~T}^{-3}\right]} \)
4. \( {\left[\mathrm{M} \mathrm{L^0} \mathrm{~T}^{-1}\right]} \)
1. \( {\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]} \)
2. \( {\left[\mathrm{ML} \mathrm{T}^{-2}\right]} \)
3. \( {\left[\mathrm{M} \mathrm{L^2} \mathrm{~T}^{-3}\right]} \)
4. \( {\left[\mathrm{M} \mathrm{L^0} \mathrm{~T}^{-1}\right]} \)
Subtopic: Dimensions |
82%
Level 1: 80%+
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The side of a cube is measured by vernier calipers (\(20\) divisions of the vernier scale coincide with \(19\) divisions of the main scale, where \(1\) division of the main scale is \(1~\text{mm}\)). The main scale reads \(10~\text{mm}\) and the first division of the vernier scale coincides with the main scale. The side length of a cube is:
1. \(10.02\) mm
2. \(10.05\) mm
3. \(10.04\) mm
4. \(10.06\) mm
1. \(10.02\) mm
2. \(10.05\) mm
3. \(10.04\) mm
4. \(10.06\) mm
Subtopic: Measurement & Measuring Devices |
82%
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Pressure on a circular plate is obtained by measuring the force and the radius of the plate. If the error in measuring force and radius is \(1\%\) and \(0.5\%\) respectively, then the error in pressure is:
1. \(1\%\)
2. \(2\%\)
3. \(6\%\)
4. \(8\%\)
1. \(1\%\)
2. \(2\%\)
3. \(6\%\)
4. \(8\%\)
Subtopic: Errors |
87%
Level 1: 80%+
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The velocity \(v\) of a particle at a time \(t\) is given by \(v=a t+\dfrac{b}{t+c}.\) The dimensions of \(a,\) \(b\) and \(c\) are respectively:
1. \(\left [ LT^{-2} \right ],\) \(\left [ L\right ],\) \(\left [ T\right ]\)
2. \(\left [ L^{2}\right ],\) \(\left [ T\right ],\) \(\left [ LT^{2} \right ]\)
3. \(\left [ LT^{2} \right ],\) \(\left [ LT \right ],\) \(\left [ L\right ]\)
4. \(\left [ L\right ],\) \(\left [ LT \right ],\) \(\left [ T^{2}\right ]\)
1. \(\left [ LT^{-2} \right ],\) \(\left [ L\right ],\) \(\left [ T\right ]\)
2. \(\left [ L^{2}\right ],\) \(\left [ T\right ],\) \(\left [ LT^{2} \right ]\)
3. \(\left [ LT^{2} \right ],\) \(\left [ LT \right ],\) \(\left [ L\right ]\)
4. \(\left [ L\right ],\) \(\left [ LT \right ],\) \(\left [ T^{2}\right ]\)
Subtopic: Dimensions |
86%
Level 1: 80%+
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A physical quantity, \(y=\dfrac{a^{4} b^{2}}{\left(c d^{4}\right)^{1 / 3}}\) has four observables \(a,\) \(b,\) \(c\) and \(d.\) The percentage error in \(a,\) \(b,\) \(c\) and \(d\) are \(2\text{%},\) \(3\text{%},\) \(4\text{%}\) and \(5\text{%}\) respectively. The error in \(y\) is:
| 1. | \(6\text{%}\) | 2. | \(11\text{%}\) |
| 3. | \(12\text{%}\) | 4. | \(22\text{%}\) |
Subtopic: Errors |
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Match List-I with List-II.
Choose the correct answer from the options given below:
| List-I | List-II | ||
| \(\mathrm{(A)}\) | Torque | \(\mathrm{(I)}\) | N-m s-1 |
| \(\mathrm{(B)}\) | Stress | \(\mathrm{(II)}\) | J-kg-1 |
| \(\mathrm{(C)}\) | Latent Heat | \(\mathrm{(III)}\) | N-m |
| \(\mathrm{(D)}\) | Power | \(\mathrm{(IV)}\) | N-m-2 |
Choose the correct answer from the options given below:
| 1. | \(\mathrm{A-III, B-II, C-I, D-IV}\) |
| 2. | \(\mathrm{A-III, B-IV, C-II, D-I}\) |
| 3. | \(\mathrm{A-IV, B-I, C-III, D-II}\) |
| 4. | \(\mathrm{A-II, B-III, C-I, D-IV}\) |
Subtopic: Dimensions |
85%
Level 1: 80%+
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The number of significant figures in the physical quantity \(2.56\times 10^5\) kg is/are:
| 1. | \(1\) | 2. | \(2\) |
| 3. | \(3\) | 4. | \(5\) |
Subtopic: Significant Figures |
92%
Level 1: 80%+
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The physical quantity that has the same dimensional formula as pressure is:
1. Force
2. Momentum
3. Young's modulus of elasticity
4. Coefficient of viscosity
1. Force
2. Momentum
3. Young's modulus of elasticity
4. Coefficient of viscosity
Subtopic: Dimensions |
82%
Level 1: 80%+
NEET - 2022
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