Select Question Set:
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 |
56%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
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. \(0.09~\text{mm}\)
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%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
A screw gauge of pitch \(0.5\) mm is used to measure the diameter of uniform wire of length \(6.8\) cm, the main scale reading is \(1.5\) mm and circular scale reading is \(7\). The calculated curved surface area of wire to the appropriate significant figures is:
[Screw gauge has \(50\) divisions on the circular scale]
1. \(6.8\) cm2
2. \(3.4\) cm2
3. \(3.9\) cm2
4. \(2.4\) cm2
[Screw gauge has \(50\) divisions on the circular scale]
1. \(6.8\) cm2
2. \(3.4\) cm2
3. \(3.9\) cm2
4. \(2.4\) cm2
Subtopic: Measurement & Measuring Devices |
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
Consider the efficiency of Carnot’s engine is given by \(\eta=\dfrac{\alpha \beta}{\sin \theta} \log _{\mathrm{e}} \dfrac{\beta {x}}{\mathrm{kT}}\), where \(\alpha\) and \(\beta\) are constants. If \(T\) is temperature, \(k\) is Boltzman constant, \(\theta\) is angular displacement and \(x\) has the dimensions of length. Then, choose the incorrect option.
| 1. | Dimensions of \(\beta\) are same as that of force. |
| 2. | Dimensions of \(\alpha^{-1}x\) are same as that of energy. |
| 3. | Dimensions of \(\eta^{-1} \sin \theta\) are same as that of \(\alpha \beta\). |
| 4. | Dimensions of \(\alpha\) same as that of \(\beta\). |
Subtopic: Dimensions |
52%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
In Vander Wall's equation \(\left[{P}+\dfrac{{a}}{{V}^{2}}\right][{V}-{b}]={RT}\); \(P\) is pressure, \(V\) is volume, \(R\) is universal gas constant and \(T\) is temperature. The ratio of constants \(\dfrac a b\) is dimensionally equal to:
| 1. | \(\dfrac P V\) | 2. | \(\dfrac V P\) |
| 3. | \(PV\) | 4. | \(PV^3\) |
Subtopic: Dimensions |
79%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
The angle of \(1'\) (minute of arc) is nearly: (Given, \(2\pi=360^{0}\) and \(\pi=3.14\))
1. \(2.42\times10^{-6}\) rad
2. \(2.85\times10^{-6} \) rad
3. \(2.91\times10^{-4} \) rad
4. \(1.75\times10^{-2} \) rad
1. \(2.42\times10^{-6}\) rad
2. \(2.85\times10^{-6} \) rad
3. \(2.91\times10^{-4} \) rad
4. \(1.75\times10^{-2} \) rad
Subtopic: Measurement & Measuring Devices |
67%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
Match List-I with List-II.
Choose the correct answer from the options given below:
| List-I | List-II |
| A. Torque | I. N-m s-1 |
| B. Stress | II. J-kg-1 |
| C. Latent Heat | III. N-m |
| D. Power | IV. N-m-2 |
Choose the correct answer from the options given below:
| 1. | A-III, B-II, C-I, D-IV |
| 2. | A-III, B-IV, C-II, D-I |
| 3. | A-IV, B-I, C-III, D-II |
| 4. | A-II, B-III, C-I, D-IV |
Subtopic: Dimensions |
88%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
The number of significant figures in the physical quantity \(2.56\times 10^5\) kg is:
| 1. | \(1\) | 2. | \(2\) |
| 3. | \(3\) | 4. | \(5\) |
Subtopic: Significant Figures |
92%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be:
1. \(\mathrm{[ML^{–1}T^{–1}]}\)
2. \(\mathrm{[ML^{–1}T^{–2}]}\)
3. \(\mathrm{[ML^{2}T^{–1}]}\)
4. \(\mathrm{[M^{-1}L^{3}T^{0}]}\)
1. \(\mathrm{[ML^{–1}T^{–1}]}\)
2. \(\mathrm{[ML^{–1}T^{–2}]}\)
3. \(\mathrm{[ML^{2}T^{–1}]}\)
4. \(\mathrm{[M^{-1}L^{3}T^{0}]}\)
Subtopic: Dimensions |
78%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
Select Question Set:
© 2025 GoodEd Technologies Pvt. Ltd.