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Q. No.The pair of quantities having the same dimensions are:
1.
impulse and surface tension
2.
angular momentum and work
3.
work and torque
4.
Young's modulus and energy
Subtopic: Dimensions |
83%
Level 1: 80%+
NEET - 2013
Hints
A metal wire has mass \((0.4\pm 0.002)~\text{g}\), radius \((0.3\pm 0.001)~\text{mm}\) and length \((5\pm 0.02)~\text{cm}\). The maximum possible percentage error in the measurement of density will nearly be:
1. \(1.4 \%\)
2. \(1.2 \%\)
3. \(1.3 \%\)
4. \(1.6 \%\)
1. \(1.4 \%\)
2. \(1.2 \%\)
3. \(1.3 \%\)
4. \(1.6 \%\)
Subtopic: Errors |
55%
Level 3: 35%-60%
NEET - 2023
Hints
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:
| 1. | Random errors | 2. | Instrumental errors |
| 3. | Personal errors | 4. | Least count errors |
Subtopic: Errors |
71%
Level 2: 60%+
NEET - 2023
Hints
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 |
59%
Level 3: 35%-60%
NEET - 2023
Hints
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 |
61%
Level 2: 60%+
NEET - 2023
Hints
The number of significant figures in the result of \((10.04+0.00230)\) is/are:
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
Subtopic: Significant Figures |
71%
Level 2: 60%+
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Hints
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The percentage error in the measurement of \(g\) is:
(Given, \(g=\frac{4\pi^2L}{T^2},L=(10\pm0.1)~\text{cm, }T=(100\pm1)~\text s\))
1. \(2\%\)
2. \(5\%\)
3. \(3\%\)
4. \(7\%\)
(Given, \(g=\frac{4\pi^2L}{T^2},L=(10\pm0.1)~\text{cm, }T=(100\pm1)~\text s\))
1. \(2\%\)
2. \(5\%\)
3. \(3\%\)
4. \(7\%\)
Subtopic: Errors |
77%
Level 2: 60%+
NEET - 2022
Hints
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
Hints
The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be:
1. \(\mathrm{[ML^{–1}T^{–1}]}\)
2. \(\mathrm{[ML^{–1}T^{–2}]}\)
3. \(\mathrm{[ML^{2}T^{–1}]}\)
4. \(\mathrm{[M^{-1}L^{3}T^{0}]}\)
1. \(\mathrm{[ML^{–1}T^{–1}]}\)
2. \(\mathrm{[ML^{–1}T^{–2}]}\)
3. \(\mathrm{[ML^{2}T^{–1}]}\)
4. \(\mathrm{[M^{-1}L^{3}T^{0}]}\)
Subtopic: Dimensions |
78%
Level 2: 60%+
JEE
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Hints
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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 |
91%
Level 1: 80%+
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