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Q. No.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. \(1382.5\)
1. \(14\times10^{2}\)
2. \(138\times10^{1}\)
3. \(1382\)
4. \(1382.5\)
Subtopic: Significant Figures |
61%
From NCERT
NEET - 2022
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Match List-I with List-II.
Choose the correct answer from the options given below:
| 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) | \([{ML}^2 {~T}^{-2}]\) |
| (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 |
57%
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. \(0.09~\text{mm}\)
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
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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 |
51%
From NCERT
JEE
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Consider the efficiency of Carnot’s engine is given by \(\eta=\dfrac{\alpha \beta}{\sin \theta} \log _{{e}} \dfrac{\beta {x}}{{kT}}\), 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.
Which of the following statements is incorrect?
Which of the following statements is incorrect?
| 1. | The dimensions of \(\beta\) are same as that of force. |
| 2. | The dimensions of \(\alpha^{-1}x\) are same as that of energy. |
| 3. | The dimensions of \(\eta^{-1} \sin \theta\) are same as that of \(\alpha \beta\). |
| 4. | The dimensions of \(\alpha\) same as that of \(\beta\). |
Subtopic: Dimensions |
53%
From NCERT
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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
JEE
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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
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