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The quantities which have the same dimensions as those of solid angle are:
1. stress and angle
2. strain and arc
3. angular speed and stress
4. strain and angle
Subtopic:  Dimensions |
63%
From NCERT
NEET - 2024
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In a vernier callipers, $$(N+1)$$ divisions of the vernier scale coincide with $$N$$ divisions of the main scale. If $$1$$ $$\text{MSD}$$ represents $$0.1~\text{mm}$$, the vernier constant (in $$\text{cm}$$) is:
 1 $$\dfrac{1}{100(N+1)}$$ 2 $$100N$$ 3 $$10(N+1)$$ 4 $$\dfrac{1}{10 N}$$
Subtopic:  Measurement & Measuring Devices |
70%
From NCERT
NEET - 2024
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A force defined by; $$F = \alpha t^2 + \beta t$$ acts on a particle at a given time $$t.$$ The factor which is dimensionless, if $$\alpha$$ and $$\beta$$ are constants, is:
 1 $$\alpha t / \beta$$ 2 $$\alpha \beta t$$ 3 $$\alpha \beta / t$$ 4 $$\beta t / \alpha$$
Subtopic:  Dimensions |
64%
From NCERT
NEET - 2024
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The percentage errors in the measurement of mass and momentum of an object are $$1\%$$ and $$2\%$$ respectively. The percentage error in the measurement of kinetic energy of the object is:
1. $$1\%$$
2. $$3\%$$
3. $$4\%$$
4. $$5\%$$
Subtopic:  Errors |
65%
From NCERT
NEET - 2024
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Match List- I with List- II.
 List-I  (Measured values) List-II  (Significant figures) A. $$0.001213$$ I. $$2$$ B. $$2.1 \times 10^{16}$$ II. $$3$$ C. $$3.70$$ III. $$1$$ D. $$3000$$ IV. $$4$$

Choose the correct answer from the options given below:
 1 A-III, B-II, C-I, D-IV 2 A-III, B-I, CII, D-IV 3 A-I, B-II, C-IV, D-III 4 A-IV, B-I, C-II, D-III
Subtopic:  Significant Figures |
86%
From NCERT
NEET - 2024
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A vernier calipers has $$1~\text{mm}$$ marks on the main scale. It has $$20$$ equal divisions on the vernier scale which match with $$16$$ main scale divisions. The least count of this vernier calipers is:
 1 $$0.02~\text{mm}$$ 2 $$0.05~\text{mm}$$ 3 $$0.10~\text{mm}$$ 4 $$0.20~\text{mm}$$
Subtopic:  Measurement & Measuring Devices |
67%
From NCERT
NEET - 2024
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The pitch of an error-free screw gauge is $$1~\text{mm}$$ and there are $$100$$ divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads $$1~\text{mm}$$ and $$63^\text{rd}$$ division on the circular scale coincides with the reference line. The diameter of the wire is:
1. $$1.63 ~\text{cm}$$
2. $$0.163 ~\text{cm}$$
3. $$0.163~\text m$$
4. $$1.63 ~\text m$$
Subtopic:  Measurement & Measuring Devices |
73%
From NCERT
NEET - 2024
Hints

The potential energy of a particle moving along the $$x\text-$$direction varies as $$\mathrm{V}=\frac{\mathrm{A}x^{2}}{\sqrt{x}+\mathrm{B}}.$$The dimensions of $$\frac{\mathrm{A}^2}{\mathrm{B}}$$ are:
1. $$[{M}^{3/2}{L}^{1/2}{T}^{-3}]$$
2. $$[M^{1/2}LT^{-3}]$$
3. $$[{M}^2{L}^{1/2}{T}^{-4}]$$
4. $$[ML^{2}T^{-4}]$$
Subtopic:  Dimensions |
77%
From NCERT
NEET - 2024
Hints

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
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 |
68%
From NCERT
NEET - 2023