Match List-I with List-II.
 
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
NEET - 2022
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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 |
 67%
From NCERT
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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 |
 85%
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 |
 66%
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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
Subtopic:  Dimensions |
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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 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%
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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) \(\left[ ML^{2}A^{-1}T^{-3} \right]\)
Choose the correct option:
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%
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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 |
 76%
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