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Q. No.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. \(10^{-3}\)
1. \(10^{-4}\)
2. \(10^{-5}\)
3. \(10^{-2}\)
4. \(10^{-3}\)
Subtopic: Measurement & Measuring Devices |
57%
Level 3: 35%-60%
NEET - 2022
Hints
The determination of the value of acceleration due to gravity \((g)\) by simple pendulum method employs the formula,
\(g=4\pi^2\dfrac{L}{T^2}\)
The expression for the relative error in the value of \(g\) is:
| 1. | \(\dfrac{\Delta g}{g}=\dfrac{\Delta L}{L}+2\Big(\dfrac{\Delta T}{T}\Big)\) |
| 2. | \(\dfrac{\Delta g}{g}=4\pi^2\Big[\dfrac{\Delta L}{L}-2\dfrac{\Delta T}{T}\Big]\) |
| 3. | \(\dfrac{\Delta g}{g}=4\pi^2\Big[\dfrac{\Delta L}{L}+2\dfrac{\Delta T}{T}\Big]\) |
| 4. | \(\dfrac{\Delta g}{g}=\dfrac{\Delta L}{L}-2\Big(\dfrac{\Delta T}{T}\Big)\) |
Subtopic: Errors |
78%
Level 2: 60%+
NEET - 2022
Hints
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
1. Force
2. Momentum
3. Young's modulus of elasticity
4. Coefficient of viscosity
Subtopic: Dimensions |
81%
Level 1: 80%+
NEET - 2022
Hints
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. \(7\%\)
(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%
Level 2: 60%+
NEET - 2022
Hints
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. \(1382.5\)
1. \(14\times10^{2}\)
2. \(138\times10^{1}\)
3. \(1382\)
4. \(1382.5\)
Subtopic: Significant Figures |
62%
Level 2: 60%+
NEET - 2022
Hints
The dimensions \([MLT^{-2}A^{-2}]\) belong to the:
1. electric permittivity
2. magnetic flux
3. self-inductance
4. magnetic permeability
1. electric permittivity
2. magnetic flux
3. self-inductance
4. magnetic permeability
Subtopic: Dimensions |
Level 3: 35%-60%
NEET - 2022
Hints
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 |
77%
Level 2: 60%+
NEET - 2022
Hints
A metal wire has mass \((0.4\pm 0.002)~\text{g}\), radius \((0.3\pm 0.001)~\text{mm}\) and length \((5\pm 0.02)~\text{cm}\). The maximum possible percentage error in the measurement of density will nearly be:
1. \(1.4 \%\)
2. \(1.2 \%\)
3. \(1.3 \%\)
4. \(1.6 \%\)
1. \(1.4 \%\)
2. \(1.2 \%\)
3. \(1.3 \%\)
4. \(1.6 \%\)
Subtopic: Errors |
55%
Level 3: 35%-60%
NEET - 2023
Hints
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 |
71%
Level 2: 60%+
NEET - 2023
Hints
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
1. \(3.328\) cm
2. \(3.3\) cm
3. \(3.33\) cm
4. \(3.32\) cm
Subtopic: Measurement & Measuring Devices |
59%
Level 3: 35%-60%
NEET - 2023
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