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Q. No.How many significant figures are there in the number \(1001\text{?}\)
1.
\(1\)
2.
\(2\)
3.
\(4\)
4.
\(3\)
Subtopic: Significant Figures |
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The least count of the main scale of a screw gauge is \(1~\text{mm}.\) The minimum number of divisions on its circular scale required to measure \(5~\mu \text{m}\) diameter of a wire is:
1. \(50\)
2. \(200\)
3. \(100\)
4. \(500\)
1. \(50\)
2. \(200\)
3. \(100\)
4. \(500\)
Subtopic: Measurement & Measuring Devices |
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Level 2: 60%+
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The resistance \({R}=\frac{V}{I},\) where \({V}=(50\pm2)~\text{V}\) and \({I}=(20\pm0.2)~\text{A}.\) The percentage error in the resistance \(R\) is:
1. \(5\%\)
2. \(3\%\)
3. \(7\%\)
4. \(2\%\)
1. \(5\%\)
2. \(3\%\)
3. \(7\%\)
4. \(2\%\)
Subtopic: Errors |
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One main scale division of a vernier caliper is \('a' ~\text{cm}\) and \({n}^\text{th}\) division of the scale coincides with \(({n}-1)^\text{th}\) division of the main scale. The least count of the calipers is:
1. \(\frac{10~na}{(n-1)} ~\text{mm}\)
2. \(\frac{10~a}{(n-1)}~\text{mm}\)
3. \(\frac{10~a}{n}~\text{mm}\)
4. \(\left(\frac{n-1}{ 10n}\right)a~\text{mm}\)
1. \(\frac{10~na}{(n-1)} ~\text{mm}\)
2. \(\frac{10~a}{(n-1)}~\text{mm}\)
3. \(\frac{10~a}{n}~\text{mm}\)
4. \(\left(\frac{n-1}{ 10n}\right)a~\text{mm}\)
Subtopic: Errors |
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The percentage errors in quantities \(P, Q, R\) and \(S\) are \(0.5\%,\) \(1\%,\) \(3\%\) and \(1.5\%\) respectively in the measurement of a physical quantity \(A = \frac{P^3Q^2}{\sqrt {R}S}.\) The maximum percentage error in the value of \(A\) will be:
1. \(6.5\%\)
2. \(7.5\%\)
3. \(6.0\%\)
4. \(8.5\%\)
1. \(6.5\%\)
2. \(7.5\%\)
3. \(6.0\%\)
4. \(8.5\%\)
Subtopic: Errors |
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The inverse of the universal gravitational constant \((G)\) has the same dimensions as:
1. \(\text{density}\)
2. \(\text{density}\times\text{time}\)
3. \(\dfrac{\text{density}}{\text{time}}\)
4. \(\text{density}\times\text{(time)}^2 \)
1. \(\text{density}\)
2. \(\text{density}\times\text{time}\)
3. \(\dfrac{\text{density}}{\text{time}}\)
4. \(\text{density}\times\text{(time)}^2 \)
Subtopic: Dimensions |
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The angular momentum of a rotating sphere of mass-\(m,\) radius-\(r\) is computed from the expression: \(L=\dfrac25mr^2\omega,\) where \(\omega\) is the angular speed of rotation. The mass is known to within \(0.5\%,\) the radius to \(0.5\%,\) and the angular speed \((\omega)\) to within \(1\%.\) The fractional error in \(L\) is:
1. \(1\%\)
2. \(1.5\%\)
3. \(2\%\)
4. \(2.5\%\)
1. \(1\%\)
2. \(1.5\%\)
3. \(2\%\)
4. \(2.5\%\)
Subtopic: Errors |
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Which, of the following has the same units as electric permittivity? Standard notation is used for natural constants.
1. \(\dfrac{{e}^2}{{hc}}\)
2. \(\dfrac{{G}}{{hc}}\)
3. \(\dfrac{{e}}{{Gc}}\)
4. \(\dfrac{{h}}{{eG}}\)
1. \(\dfrac{{e}^2}{{hc}}\)
2. \(\dfrac{{G}}{{hc}}\)
3. \(\dfrac{{e}}{{Gc}}\)
4. \(\dfrac{{h}}{{eG}}\)
Subtopic: Dimensions |
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Which, of the following expressions, has the dimension of length? Standard notation is used for natural constants.
| 1. | \(\dfrac{{h}}{{c}^2}\) | 2. | \(\dfrac{{eh}}{{c}^2}\) |
| 3. | \(\dfrac{{h}}{{m}_ec}\) | 4. | \(\dfrac{{e}}{{m}_ec}\) |
Subtopic: Dimensions |
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Two different quantities having the same dimension are:
| 1. | \(\text{momentum, power}\) | 2. | \(\text{power, pressure}\) |
| 3. | \(\text{work, torque}\) | 4. | \(\text{pressure, torque}\) |
Subtopic: Dimensions |
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