Plane angle and solid angle have:
1. Both units and dimensions
2. Units but no dimensions
3. Dimensions but no units
4. No units and no dimensions
Subtopic:  Dimensions |
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The dimensions [MLT-2A-2] belong to the:
1. electric permittivity
2. magnetic flux
3. self-inductance
4. magnetic permeability
Subtopic:  Dimensions |
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The area of a rectangular field (in m2) of length \(55.3\) m and breadth \(25\) m after rounding off the value, for correct significant digits is:
1. \(14\times10^{2}\)
2. \(138\times10^{1}\)
3. \(1382\)
4. \(1382.5\)
Subtopic:  Significant Figures |
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Match List-I with List-II:
List-I List-II
(a) Gravitational constant(G) (i) [L2T-2]
(b) Gravitational potential energy (ii) [M-1L3T-2]
(c) Gravitational potential (iii) [LT-2]
(d) Gravitational intensity (iv) [ML2T-2]
Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (iv) (ii) (i) (iii)
2. (ii) (i) (iv) (iii)
3. (ii) (iv) (i) (iii)
4. (ii) (iv) (iii) (i)
Subtopic:  Dimensions |
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When the circular scale of a screw gauge completes 2 rotations, it covers 1 mm over the pitch scale. The total number of circular scale divisions is 50. The least count of the screw gauge in metres is:
1.  10-4
2.  10-5
3.  10-2
4.  10-3

Subtopic:  Measurement & Measuring Devices |
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The determination of the value of acceleration due to gravity (g) by simple pendulum method employs the formula,
  \(g=4\pi^2\frac{L}{T^2}\)
The expression for the relative error in the value of 'g' is:
1.  \(\frac{\Delta g}{g}=\frac{\Delta L}{L}+2\Big(\frac{\Delta T}{T}\Big)\)
2.  \(\frac{\Delta g}{g}=4\pi^2\Big[\frac{\Delta L}{L}-2\frac{\Delta T}{T}\Big]\)
3.  \(\frac{\Delta g}{g}=4\pi^2\Big[\frac{\Delta L}{L}+2\frac{\Delta T}{T}\Big]\)
4.  \(\frac{\Delta g}{g}=\frac{\Delta L}{L}-2\Big(\frac{\Delta T}{T}\Big)\)

Subtopic:  Errors |
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A Screw Guage gives the following readings when used to measure the diameter of a wire.
Main scale reading = 0.0 mm
Circular scale reading = 52 divisions
Given that: 1 mm on the main scale corresponds to 100 divisions of the circular scale.
The diameter of the wire from the above data is:

1.  0.026 cm

2.  0.005 cm

3.  0.52 cm

4.  0.052 cm

Subtopic:  Measurement & Measuring Devices |
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If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities, then find the dimensions of energy.

1. [F][A][T-1]

2. [F][A-1][T]

3. [F][A][T]

4. [F][A][T2]

Subtopic:  Dimensions |
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If E and G, respectively, denote energy and gravitational constant, then EG has the dimensions of:

1. ML0T0

2. M2L-2T-1

3. M2L-1T0

4. ML-1T-1

Subtopic:  Dimensions |
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A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is:
1. 0.25 mm
2. 0.5 mm
3. 1.0 mm
4. 0.01 mm

Subtopic:  Measurement & Measuring Devices |
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