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The angle of \(1'\) (minute of arc) is nearly: (Given, \(2\pi=360^{0}\) and \(\pi=3.14\))
1. \(2.42\times10^{-6}\) rad
2. \(2.85\times10^{-6} \) rad
3. \(2.91\times10^{-4} \) rad
4. \(1.75\times10^{-2} \) rad

Subtopic:  Measurement & Measuring Devices |
 67%
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Match List-I with List-II.
List-I List-II
A. Torque I. N-m s-1
B. Stress II. J-kg-1
C. Latent Heat III. N-m
D. Power IV. N-m-2

Choose the correct answer from the options given below:
1. A-III, B-II, C-I, D-IV
2. A-III, B-IV, C-II, D-I
3. A-IV, B-I, C-III, D-II
4. A-II, B-III, C-I, D-IV
Subtopic:  Dimensions |
 88%
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The number of significant figures in the physical quantity \(2.56\times 10^5\) kg is:
1. \(1\) 2. \(2\)
3. \(3\) 4. \(5\)
Subtopic:  Significant Figures |
 92%
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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. \(\mathrm{[M^{-1}L^{3}T^{0}]}\)
Subtopic:  Dimensions |
 78%
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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
Subtopic:  Dimensions |
 82%
From NCERT
NEET - 2022
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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. \(7\%\)
Subtopic:  Errors |
 77%
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NEET - 2022
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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%
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In Vander Wall's equation \(\left[{P}+\dfrac{{a}}{{V}^{2}}\right][{V}-{b}]={RT}\)\(P\) is pressure, \(V\) is volume, \(R\) is universal gas constant and \(T\) is temperature. The ratio of constants \(\dfrac a b\) is dimensionally equal to:
1. \(\dfrac P V\) 2. \(\dfrac V P\)
3. \(PV\) 4. \(PV^3\)
Subtopic:  Dimensions |
 79%
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Consider the efficiency of Carnot’s engine is given by \(\eta=\dfrac{\alpha \beta}{\sin \theta} \log _{\mathrm{e}} \dfrac{\beta {x}}{\mathrm{kT}}\), where \(\alpha\) and \(\beta\) are constants. If \(T\) is temperature, \(k\) is Boltzman constant, \(\theta\) is angular displacement and \(x\) has the dimensions of length. Then, choose the incorrect option.
1. Dimensions of \(\beta\) are same as that of force.
2. Dimensions of \(\alpha^{-1}x\)  are same as that of energy.
3. Dimensions of  \(\eta^{-1} \sin \theta\) are same as that of \(\alpha \beta\).
4. Dimensions of \(\alpha\)  same as that of \(\beta\).
Subtopic:  Dimensions |
 52%
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A screw gauge of pitch \(0.5\) mm is used to measure the diameter of uniform wire of length \(6.8\) cm, the main scale reading is \(1.5\) mm and circular scale reading is \(7\). The calculated curved surface area of wire to the appropriate significant figures is:
[Screw gauge has \(50\) divisions on the circular scale]
1. \(6.8\) cm2
2. \(3.4\) cm2
3. \(3.9\) cm2
4. \(2.4\) cm2
Subtopic:  Measurement & Measuring Devices |
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