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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)
[ML2T−2A−1]
(b)
Farad
(ii)
[ML2T−2A−2]
(c)
Henry
(iii)
[M−1L−2T4A2]
(d)
Weber
(iv)
[ML2T−3A−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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Match the following quantities in List-I with their dimensions in List-II.
| List-I | List-II | ||
| (a) | acceleration | (i) | [M0L0T0] |
| (b) | torque | (ii) | [ML−1T−2] |
| (c) | absorptive power | (iii) | [LT−2] |
| (d) | pressure | (iv) | [ML2T−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 |
87%
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) | Ω×F | (iv) | Ω |
| 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 |
65%
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The dimensions of the elastic modulus of a material are the same as:
1. torque
2. surface tension
3. angular momentum
4. pressure
1. torque
2. surface tension
3. angular momentum
4. pressure
Subtopic: Dimensions |
82%
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Find the dimension of the quantity ε0hc:
(where ε0= permittivity of free space, h= Planck's constant, and c= speed of light in vacuum)
1. (charge)×(energy)
2. (energy)2
3. (charge)2
4. chargeenergy
(where ε0= permittivity of free space, h= Planck's constant, and c= speed of light in vacuum)
1. (charge)×(energy)
2. (energy)2
3. (charge)2
4. chargeenergy
Subtopic: Dimensions |
69%
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Which, of the following, is dimensionless?
| 1. | impedance×conductance | 2. | emissive poweremissivity |
| 3. | electric fieldmagnetic field | 4. | inductancecapacitance |
Subtopic: Dimensions |
51%
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Darcy's law describes the volume flow rate (Q) of a viscous fluid (viscosity : μ) through a porous medium, under the action of a pressure difference. QA=kμ(p1−p2L)
Here, k is the permeability of the medium. The unit of k is (SI units):
1. m
2. m2
3. m2/s
4. m/s2
Here, k is the permeability of the medium. The unit of k is (SI units):
1. m
2. m2
3. m2/s
4. m/s2
Subtopic: Dimensions |
51%
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Which of the quantities below have the same dimensions?
1. A, B
2. B, C
3. A, C
4. A, B, C
| (A) | electric field × magnetic fieldμ0 |
| (B) | ε0×(electric potential)2× velocityarea |
| (C) | powerarea |
2. B, C
3. A, C
4. A, B, C
Subtopic: Dimensions |
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Which of the following, is dimensionless?
| 1. | pressuredensity×acceleration | 2. | density×pressurespeed |
| 3. | viscosity×speedsurface tension | 4. | surface tension(speed)2 |
Subtopic: Dimensions |
81%
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The quantity η is defined by: η=1μ0σ
where μ0 is the permeability of free space and σ is the electrical conductivity (of a plasma). η is referred to as the magnetic diffusivity. Its SI unit is:
1. m2/s
2. m/s2
3. C-m2/s
4. T-m/s
where μ0 is the permeability of free space and σ is the electrical conductivity (of a plasma). η is referred to as the magnetic diffusivity. Its SI unit is:
1. m2/s
2. m/s2
3. C-m2/s
4. T-m/s
Subtopic: Dimensions |
51%
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