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Q. No.The percentage errors in the measurement of mass and momentum of an object are \(1\%\) and \(2\%\) respectively. The percentage error in the measurement of kinetic energy of the object is:
1. \(1\%\)
2. \(3\%\)
3. \(4\%\)
4. \(5\%\)
Subtopic: Errors |
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Match List- I with List- II.
Choose the correct answer from the options given below:
| List-I (Measured values) |
List-II (Significant figures) |
||
| A | \(0.001213\) | I | \(2\) |
| B | \(2.1 \times 10^{16} \) | II | \(3\) |
| C | \(3.70\) | III | \(1\) |
| D | \(3000\) | IV | \(4\) |
| 1. | A-III, B-II, C-I, D-IV |
| 2. | A-III, B-I, CII, D-IV |
| 3. | A-I, B-II, C-IV, D-III |
| 4. | A-IV, B-I, C-II, D-III |
Subtopic: Significant Figures |
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A vernier calipers has \(1~\text{mm}\) marks on the main scale. It has \(20\) equal divisions on the vernier scale which match with \(16\) main scale divisions. The least count of this vernier calipers is:
1. \(0.02~\text{mm}\)
2. \(0.05~\text{mm}\)
3. \(0.10~\text{mm}\)
4. \(0.20~\text{mm}\)
1. \(0.02~\text{mm}\)
2. \(0.05~\text{mm}\)
3. \(0.10~\text{mm}\)
4. \(0.20~\text{mm}\)
Subtopic: Measurement & Measuring Devices |
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A force defined by; \(F = \alpha t^2 + \beta t\) acts on a particle at a given time \(t.\) The factor which is dimensionless, if \(\alpha\) and \(\beta\) are constants, is:
| 1. | \(\alpha t / \beta \) | 2. | \(\alpha \beta t \) |
| 3. | \(\alpha \beta / t \) | 4. | \(\beta t / \alpha\) |
Subtopic: Dimensions |
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In a vernier callipers, \((N+1)\) divisions of the vernier scale coincide with \(N\) divisions of the main scale. If \(1\) \(\text{MSD}\) represents \(0.1~\text{mm}\), the vernier constant (in \(\text{cm}\)) is:
| 1. | \(\dfrac{1}{100(N+1)} \) | 2. | \(100N\) |
| 3. | \(10(N+1) \) | 4. | \(\dfrac{1}{10 N}\) |
Subtopic: Measurement & Measuring Devices |
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The quantities which have the same dimensions as those of solid angle are:
1. stress and angle
2. strain and arc
3. angular speed and stress
4. strain and angle
1. stress and angle
2. strain and arc
3. angular speed and stress
4. strain and angle
Subtopic: Dimensions |
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The pitch of an error-free screw gauge is \(1~\text{mm}\) and there are \(100\) divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads \(1~\text{mm}\) and \(63^\text{rd}\) division on the circular scale coincides with the reference line. The diameter of the wire is:
1. \(1.63 ~\text{cm}\)
2. \(0.163 ~\text{cm}\)
3. \(0.163~\text m\)
4. \(1.63 ~\text m\)
1. \(1.63 ~\text{cm}\)
2. \(0.163 ~\text{cm}\)
3. \(0.163~\text m\)
4. \(1.63 ~\text m\)
Subtopic: Measurement & Measuring Devices |
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The potential energy of a particle moving along the \(x\text-\)direction varies as \(\mathrm{V}=\frac{\mathrm{A}x^{2}}{\sqrt{x}+\mathrm{B}}.\)The dimensions of \(\frac{\mathrm{A}^2}{\mathrm{B}}\) are:
1. \([{M}^{3/2}{L}^{1/2}{T}^{-3}]\)
2. \([M^{1/2}LT^{-3}]\)
3. \([{M}^2{L}^{1/2}{T}^{-4}]\)
4. \([ML^{2}T^{-4}]\)
1. \([{M}^{3/2}{L}^{1/2}{T}^{-3}]\)
2. \([M^{1/2}LT^{-3}]\)
3. \([{M}^2{L}^{1/2}{T}^{-4}]\)
4. \([ML^{2}T^{-4}]\)
Subtopic: Dimensions |
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The mechanical quantity, which has dimensions of reciprocal of mass \((M^{-1}),\) is:
| 1. | angular momentum |
| 2. | coefficient of thermal conductivity |
| 3. | torque |
| 4. | gravitational constant |
Subtopic: Dimensions |
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NEET - 2023
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The diameter of a spherical bob, when measured with vernier callipers yielded the values: \(3.33\) cm, \(3.32\) cm, \(3.34\) cm, \(3.33\) cm and \(3.32\) cm. The mean diameter to appropriate significant figures is:
1. \(3.328\) cm
2. \(3.3\) cm
3. \(3.33\) cm
4. \(3.32\) cm
1. \(3.328\) cm
2. \(3.3\) cm
3. \(3.33\) cm
4. \(3.32\) cm
Subtopic: Measurement & Measuring Devices |
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