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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 2: 60%+
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In a 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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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%
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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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Level 3: 35%-60%
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%
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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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NEET - 2024
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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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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 |
64%
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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 will be:
| 1. | \(1\%\) | 2. | \(3\%\) |
| 3. | \(4\%\) | 4. | \(5\%\) |
Subtopic: Errors |
64%
Level 2: 60%+
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