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Suppose the kinetic energy of a body oscillating with amplitude \(A\) and at distance \(x \) is given by \(K=\dfrac{Bx}{(A^2+x^2)}\). The dimensions of \(B\) are the same as that of:
1. \(\text{Power}\)
2. \(\text{Work} \times \text{Distance}\)
3. \(\text{Force}\)
4. \(\text{Work} \times \text{Time}\)

Subtopic:  Dimensions |
 76%
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The time taken by a pendulum to complete \(10\) oscillations is \(35.2\) seconds. What is the time period of a pendulum in seconds with appropriate significant figures?
1. \(3.52~\text s\) 
2. \(3.5~\text s\) 
3. \(3.520~\text s\)
4. \(3.6~\text s\)
Subtopic:  Significant Figures |
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The length of the rod is \((12\pm0.4)~\text{m}\). A section of length \((5\pm0.2)~\text{m}\) is cut from it. What is the remaining length of the rod?
1. \((7\pm0.2)~\text{m}\)
2. \((7\pm0.8)~\text{m}\)
3. \((7\pm0.6)~\text{m}\)
4. \((7\pm0.1)~\text{m}\)
Subtopic:  Errors |
 78%
From NCERT
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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 |
 78%
From NCERT
NEET - 2022
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The dimensions \([MLT^{-2}A^{-2}]\) belong to the:
1. electric permittivity
2. magnetic flux
3. self-inductance
4. magnetic permeability
Subtopic:  Dimensions |
From NCERT
NEET - 2022
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The area of a rectangular field (in \(\text{m}^2\)) 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 |
 62%
From NCERT
NEET - 2022
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Match List-I with List-II.
List-I List-II
(a) Gravitational constant (\(G\)) (i) \([{L}^2 {~T}^{-2}] \)
(b) Gravitational potential energy (ii) \([{M}^{-1} {~L}^3 {~T}^{-2}] \)
(c) Gravitational potential (iii) \([{LT}^{-2}] \)
(d) Gravitational intensity (iv) \([{ML}^2 {~T}^{-2}]\)
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:  Gravitational Potential |
 72%
From NCERT
NEET - 2022
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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 |
 56%
From NCERT
NEET - 2022
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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 |
 79%
From NCERT
NEET - 2022
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A specially designed Vernier calliper has the main scale least count of \(1~\text{mm}.\) On the Vernier scale, there are \(10\) equal divisions and they match with \(11\) main scale divisions. Then, the least count of the Vernier calliper is:
1. \(0.1~\text{mm}\)
2. \(0.909~\text{mm}\)
3. \(1.1~\text{mm}\)
4. \(0.09~\text{mm}\)
Subtopic:  Measurement & Measuring Devices |
 70%
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