A metal wire has mass \((0.4\pm 0.002)~\mathrm{g}\), radius \((0.3\pm 0.001)~\mathrm{mm}\) and length \((5\pm 0.02)~\mathrm{cm}\). The maximum possible percentage error in the measurement of density will nearly be:
1. \(1.4 \%\)
2. \(1.2 \%\)
3. \(1.3 \%\)
4. \(1.6 \%\)
Subtopic:  Errors |
From NCERT
NEET - 2023
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The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:
1. Random errors
2. Instrumental errors
3. Personal errors
4. Least count errors
Subtopic:  Errors |
 67%
From NCERT
NEET - 2023
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The diameter of a spherical bob, when measured with vernier callipers yielded the values: \(3.33\) cm, \(3.32\) cm, \(3.34\) cm, \(3.33\) cm and \(3.32\) cm. The mean diameter to appropriate significant figures is:
1. \(3.328\) cm
2. \(3.3\) cm
3. \(3.33\) cm
4. \(3.32\) cm
 
Subtopic:  Measurement & Measuring Devices |
 55%
From NCERT
NEET - 2023
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The mechanical quantity, which has dimensions of reciprocal of mass \((M^{-1}),\) is:
1. angular momentum
2. coefficient of thermal conductivity 
3. torque 
4. gravitational constant 
Subtopic:  Dimensions |
 55%
From NCERT
NEET - 2023
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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 \(\mathrm{m^2}\)) 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 |
 57%
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:  Dimensions |
 68%
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 |
 54%
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 |
 75%
From NCERT
NEET - 2022
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