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Q. No.The speed of light in vacuum is taken as unity. If light takes \(6\) min \(40\) s to reach the Earth from the Sun, the distance between the Sun and the Earth in a new unit is:
1. \(3 \times 10^8\)
2. \(3 \times 10^{10}\)
3. \(400\)
4. \(500\)
1. \(3 \times 10^8\)
2. \(3 \times 10^{10}\)
3. \(400\)
4. \(500\)
Subtopic: Dimensions |
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Level 3: 35%-60%
NEET - 2026
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In vernier callipers, \(20\) VSD coincides with \(16\) MSD (each division of length \(1\) mm). The least count of the vernier callipers is:
1. \(0.01\) cm
2. \(0.1\) cm
3. \(0.02\) cm
4. \(0.2\) cm
1. \(0.01\) cm
2. \(0.1\) cm
3. \(0.02\) cm
4. \(0.2\) cm
Subtopic: Measurement & Measuring Devices |
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Level 2: 60%+
NEET - 2026
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Each side of a metallic cube of mass \(5.580\) kg is measured to be \(9.0\) cm. Keeping the significant figures in view, the density of the material of the cube can be best expressed as \(X \times10^3 ~\text{kg m}^{-3},\) where the value of \(X\) is:
1. \(7.654\)
2. \(7.7\)
3. \(7.65\)
4. \(7.6\)
1. \(7.654\)
2. \(7.7\)
3. \(7.65\)
4. \(7.6\)
Subtopic: Significant Figures |
Level 3: 35%-60%
NEET - 2026
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Which of the following measurements require 'index correction'?
| 1. | Measurement of speed of sound using resonance tube |
| 2. | Measurement of resistance of a wire using a metre bridge |
| 3. | Measurement of gravitational acceleration using simple pendulum |
| 4. | Measurement of focal length of lenses using optical bench |
Subtopic: Measurement & Measuring Devices |
Level 3: 35%-60%
NEET - 2026
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Consider that \(\sigma_s\), \(k_B,\) \(b\) represent Stefan-Boltzmann constant, Boltzmann constant, and Wien's displacement law constant, respectively. The dimension of \(\sigma_s k_B^{-1} b~\) is:
| 1. | [\(L^{-1}T^{-1}K^{-4}\)] | 2. | [\(L^{-1}T^{-1}K^{-2}\)] |
| 3. | [\(L^{-1}K^{-2}\)] | 4. | [\(L^{-1}T^{-1}K^{-3}\)] |
Subtopic: Dimensions |
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One main scale division of a Vernier calliper is equal to \(1\) mm and the number of divisions on the Vernier scale is \(10.\) When both the jaws touch each other, the Vernier scale shifts to the left of zero of the main scale in such a way that \(4^\mathrm{th}\) Vernier division coincides with a division of the main scale. If this Vernier calliper measures the length of a wire to be \(1\) cm, the actual length of the wire is:
| 1. | \(1.06\) cm | 2. | \(0.60\) cm |
| 3. | \(0.96\) cm | 4. | \(1.00\) cm |
Subtopic: Measurement & Measuring Devices |
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A balloon is made of a material of surface tension \(S\) and its inflation outlet (from where gas is filled in it) has small area \(A.\) It is filled with a gas of density \(\rho\) and takes a spherical shape of radius \(R.\) When the gas is allowed to flow freely out of it, its radius \(r\) changes from \(R\) to \(0\) (zero) in time \(T.\) If the speed \(v(r)\) of gas coming out of the balloon depends on \(r\) as \(r^a\) and \(T \propto S^\alpha A^\beta \rho^\gamma R^\delta\) then:
| 1. | \(a=-\dfrac{1}{2},~ \alpha=-\dfrac{1}{2}, ~\beta=-1, ~\gamma=\dfrac{1}{2},~ \delta=\dfrac{7}{2}\) |
| 2. | \(a=\dfrac{1}{2},~\alpha=\dfrac{1}{2},~ \beta=-\dfrac{1}{2}, ~\gamma=\dfrac{1}{2},~ \delta=\dfrac{7}{2}\) |
| 3. | \(a=\dfrac{1}{2}, ~\alpha=\dfrac{1}{2}, ~\beta=-1, ~\gamma=+1, ~\delta=\dfrac{3}{2}\) |
| 4. | \(a=-\dfrac{1}{2}, ~\alpha=-\dfrac{1}{2}, ~\beta=-1, ~\gamma=-\dfrac{1}{2}, ~\delta=\dfrac{5}{2}\) |
Subtopic: Dimensions |
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NEET - 2025
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A physical quantity \(P\) is related to four observations \(a,b,c\) and \(d\) as follows:
\(P=\dfrac{a^3b^2}{c\sqrt{d}}\)
The percentage errors of measurement in \(a,b,c\) and \(d\) are \(1\%,3\%,2\%\) and \(4\%\) respectively. The percentage error in the quantity \(P\) is:
\(P=\dfrac{a^3b^2}{c\sqrt{d}}\)
The percentage errors of measurement in \(a,b,c\) and \(d\) are \(1\%,3\%,2\%\) and \(4\%\) respectively. The percentage error in the quantity \(P\) is:
| 1. | \(13\%\) | 2. | \(15\%\) |
| 3. | \(10\%\) | 4. | \(2\%\) |
Subtopic: Errors |
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Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its \(10\) Vernier Scale Divisions (V.S.D.) are equal to its \(9\) Main Scale Divisions (M.S.D.). The least division in the M.S. is \(0.1\text{ cm}\) and the zero of V.S. is at \(x=0.1~ \text{cm}\) when the jaws of Vernier callipers are closed. If the main scale reading for the diameter is \({M}=5~\text{cm}\) and the number of coinciding vernier division is \(8 ,\) the measured diameter after zero error correction, is:
| 1. | \(4.98 ~\text{cm}\) | 2. | \(5.00 ~\text{cm}\) |
| 3. | \(5.18 ~\text{cm}\) | 4. | \(5.08 ~\text{cm}\) |
Subtopic: Measurement & Measuring Devices |
Level 3: 35%-60%
NEET - 2025
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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 |
62%
Level 2: 60%+
NEET - 2024
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