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Q. No.Which of the following quantities have the same dimension?
(A) \(\frac{\text{(Magnetic flux)}^2}{\text{Electrical resistance}}\) (B) \(\text{Torque}\times\text{time}\)
(C) \(\text{Momentum}\times\text{length}\) (D) \(\frac{\text{Power}}{\text{time}}\)
1. B, C
2. A, B, C
3. B, D
4. A, B, C, D
Subtopic: Dimensions |
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Which of the quantities below have the same dimensions?
(A) \(\frac{\text{electric field }\times\text{ magnetic field}}{\mu_0}\)
(B) \(\frac{\varepsilon_0\times\text{(electric potential)}^2\times\text{ velocity}}{\text{area}}\)
(C) \(\frac{\text{power}}{\text{area}}\)
1. A, B
2. B, C
3. A, C
4. A, B, C
(A) \(\frac{\text{electric field }\times\text{ magnetic field}}{\mu_0}\)
(B) \(\frac{\varepsilon_0\times\text{(electric potential)}^2\times\text{ velocity}}{\text{area}}\)
(C) \(\frac{\text{power}}{\text{area}}\)
1. A, B
2. B, C
3. A, C
4. A, B, C
Subtopic: Dimensions |
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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) | \([{ML}^2 {~T}^{-2}]\) |
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 |
70%
From NCERT
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Match the units mentioned in List-I with the units in List-II.
| List-I | List-II |
| (a) H/s | (i) s2 |
| (b) H×A | (ii) Wb |
| (c) H×F | (iii) s |
| (d) \(\Omega\)×F | (iv) \(\Omega\) |
| 1. | (a) – (ii), (b) – (iv), (c) – (i), (d) – (iii) |
| 2. | (a) – (iv), (b) – (ii), (c) – (i), (d) – (iii) |
| 3. | (a) – (iv), (b) – (ii), (c) – (iii), (d) – (i) |
| 4. | (a) – (ii), (b) – (iii), (c) – (iv), (d) – (i) |
Subtopic: Dimensions |
64%
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Match the following quantities in List-I with their dimensions in List-II.
| List-I | List-II |
| (a) acceleration | (i) \([M^0L^0T^0 ]\) |
| (b) torque | (ii) \([ML^{-1}T^{-2} ]\) |
| (c) absorptive power | (iii) \([LT^{-2} ]\) |
| (d) pressure | (iv) \([ML^2T^{-2} ]\) |
| 1. | a - (iii), b - (iv), c - (i), d - (ii) |
| 2. | a - (iii), b - (ii), c - (i), d - (iv) |
| 3. | a - (iii), b - (i), c - (ii), d - (iv) |
| 4. | a - (ii), b - (iv), c - (iii), d - (i) |
Subtopic: Dimensions |
86%
From NCERT
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Match the units of some physical quantities in List-I with their corresponding dimensions in List-II.
| List-I | List-II | ||
| (a) | Ohm | (i) | \([ML^2T^{-2}A^{-1}]\) |
| (b) | Farad | (ii) | \([ML^2T^{-2}A^{-2}]\) |
| (c) | Henry | (iii) | \([M^{-1}L^{-2}T^4A^2]\) |
| (d) | Weber | (iv) | \([ML^2T^{-3}A^{-2}]\) |
| 1. | (a) - (i), (b) - (ii), (c) - (iv), (d) - (iii) |
| 2. | (a) - (iv), (b) - (iii), (c) - (i), (d) - (ii) |
| 3. | (a) - (ii), (b) - (iii), (c) - (i), (d) - (iv) |
| 4. | (a) - (iv), (b) - (iii), (c) - (ii), (d) - (i) |
Subtopic: Dimensions |
64%
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Which of the following equations is dimensionally correct?
\((I)~~ v=\sqrt{\frac{P}{\rho}}~~~~~~(II)~~v=\sqrt{\frac{mgl}{I}}~~~~~~(III)~~v=\frac{Pr^2}{2\eta l}\)
(where \(v=\) speed, \(P=\) pressure; \(r,\) \(l\) are lengths; \(\rho=\) density, \(m=\) mass, \(g=\) acceleration due to gravity, \(I=\) moment of inertia, and \(\eta=\) coefficient of viscosity)
| 1. | \(I~ and~II\) |
| 2. | \(I~ and~III\) |
| 3. | \(II~ and~III\) |
| 4. | \(I,~II~and~III\) |
Subtopic: Dimensions |
67%
From NCERT
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Match List-I with List-II:
| List-I | List-II | ||
| (a) | \(h\) (Planck's constant) | (i) | \(\left[ MLT^{-1} \right]\) |
| (b) | \(E\) (kinetic energy) | (ii) | \(\left[ ML^{2}T^{-1} \right]\) |
| (c) | \(V\) (electric potential) | (iii) | \(\left[ ML^{2}T^{-2} \right]\) |
| (d) | \(p\) (linear momentum) | (iv) | \(\left[ ML^{2}A^{-1}T^{-3} \right]\) |
| 1. | (a) → (iii), (b) → (iv), (c) → (ii), (d) → (i) |
| 2. | (a) → (ii), (b) → (iii), (c) → (iv), (d) → (i) |
| 3. | (a) → (i), (b) → (ii), (c) → (iv), (d) → (iii) |
| 4. | (a) → (iii), (b) → (ii), (c) → (iv), (d) → (i) |
Subtopic: Dimensions |
90%
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The following is/are not a unit of time:
| (a) | second |
| (b) | parsec |
| (c) | year |
| (d) | light year |
Choose the correct option:
| 1. | (a, c, d) |
| 2. | (a, c) |
| 3. | (b, d) |
| 4. | (b, c) |
Subtopic: Dimensions |
78%
From NCERT
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Which of the following ratios, express pressure?
| (a) | force/area |
| (b) | energy/volume |
| (c) | energy/area |
| (d) | force/volume |
Choose the correct option:
| 1. | (a), (c) |
| 2. | (a), (d) |
| 3. | (b), (d) |
| 4. | (a), (b) |
Subtopic: Dimensions |
77%
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