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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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Level 1: 80%+
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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. | \(\text{density}\times\text{(time)}^2 \) |
Subtopic: Dimensions |
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Level 1: 80%+
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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. | \(2.5\%\) |
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. | \(\dfrac{{h}}{{eG}}\) |
Subtopic: Dimensions |
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Level 2: 60%+
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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. \(\text{pressure, torque}\)
1. \(\text{momentum, power}\)
2. \(\text{power, pressure}\)
3. \(\text{work, torque}\)
4. \(\text{pressure, torque}\)
Subtopic: Dimensions |
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Level 1: 80%+
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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) |
||
| \(\mathrm{(A)}\) | \(0.001213\) | \(\mathrm{(I)}\) | \(2\) |
| \(\mathrm{(B)}\) | \(2.1 \times 10^{16} \) | \(\mathrm{(II)}\) | \(3\) |
| \(\mathrm{(C)}\) | \(3.70\) | \(\mathrm{(III)}\) | \(1\) |
| \(\mathrm{(D)}\) | \(3000\) | \(\mathrm{(IV)}\) | \(4\) |
| 1. | \(\small{\mathrm{A-III, B-II, C-I, D-IV}}\) | 2. | \(\small{\mathrm{A-III, B-I, C-II, D-IV}}\) |
| 3. | \(\small{\mathrm{A-I, B-II, C-IV, D-III}}\) | 4. | \(\small{\mathrm{A-IV, B-I, C-II, D-III}}\) |
Subtopic: Significant Figures |
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Level 1: 80%+
NEET - 2024
Hints
Given below are two statements:
| Statement I: | A positive zero error is added to the observed reading to obtain the correct measurement. |
| Statement II: | Measuring instruments may have defects due to imperfections during the manufacturing process. |
| 1. | Statement I is correct and Statement II is incorrect. |
| 2. | Statement I is incorrect and Statement II is correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Both Statement I and Statement II are correct. |
Subtopic: Measurement & Measuring Devices |
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Level 2: 60%+
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A physical quantity \(Q \) depends on other physical quantities \(a, b\) and \(c\) as \(Q=\dfrac{a^4 b^3}{c^2}.\) If the maximum percentage error in measurement of \(a. b\) and \(c\) are \(3\%, 4\%\) and \(5\%\) respectively, then the maximum percentage error in measurement of \(Q\) is:
1. \(34\%\)
2. \(40\%\)
3. \(32\%\)
4. \(45\%\)
1. \(34\%\)
2. \(40\%\)
3. \(32\%\)
4. \(45\%\)
Subtopic: Errors |
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A force \(F\) depends on distance \(x\) and time \(t\) according to the relation:
\(F=a x^2+b t^{\frac{1}{2}}, \)
where \(a\) and \(b\) are constants.
What is the dimensional formula of the ratio \(\dfrac{b^2}{a}\text{?}\)
| 1. | \(\left[M^1 L^2 T^{-3}\right] \) | 2. | \(\left[M^1 L^{-3} T^3\right] \) |
| 3. | \(\left[M^1 L^3 T^{-3}\right] \) | 4. | \(\left[M^2 L^2 T^1\right] \) |
Subtopic: Dimensions |
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Level 1: 80%+
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A vernier calliper is designed such that \(10\) main scale divisions coincide with \(11\) vernier scale divisions. If one main scale division corresponds to \(5~\text{mm},\) the least count of the instrument is:
| 1. | \(\dfrac{1}{2}~\text{mm}\) | 2. | \(\dfrac{5}{12}~\text{mm}\) |
| 3. | \(\dfrac{5}{11}~\text{mm}\) | 4. | \(0.3~\text{mm}\) |
Subtopic: Measurement & Measuring Devices |
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