The quantities which have the same dimensions as those of solid angle are:
1. stress and angle
2. strain and arc
3. angular speed and stress
4. strain and angle
Subtopic:  Dimensions |
63%
From NCERT
NEET - 2024
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A force defined by; $$F = \alpha t^2 + \beta t$$ acts on a particle at a given time $$t.$$ The factor which is dimensionless, if $$\alpha$$ and $$\beta$$ are constants, is:
 1 $$\alpha t / \beta$$ 2 $$\alpha \beta t$$ 3 $$\alpha \beta / t$$ 4 $$\beta t / \alpha$$
Subtopic:  Dimensions |
63%
From NCERT
NEET - 2024
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The potential energy of a particle moving along the $$x\text-$$direction varies as $$\mathrm{V}=\frac{\mathrm{A}x^{2}}{\sqrt{x}+\mathrm{B}}.$$The dimensions of $$\frac{\mathrm{A}^2}{\mathrm{B}}$$ are:
1. $$[{M}^{3/2}{L}^{1/2}{T}^{-3}]$$
2. $$[M^{1/2}LT^{-3}]$$
3. $$[{M}^2{L}^{1/2}{T}^{-4}]$$
4. $$[ML^{2}T^{-4}]$$
Subtopic:  Dimensions |
74%
From NCERT
NEET - 2024
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The mechanical quantity, which has dimensions of reciprocal of mass $$(M^{-1}),$$ is:
 1 angular momentum 2 coefficient of thermal conductivity 3 torque 4 gravitational constant
Subtopic:  Dimensions |
56%
From NCERT
NEET - 2023
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Plane angle and solid angle have:
 1 both units and dimensions 2 units but no dimensions 3 dimensions but no units 4 no units and no dimensions
Subtopic:  Dimensions |
78%
From NCERT
NEET - 2022
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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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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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The physical quantity that has the same dimensional formula as pressure is:
1. Force
2. Momentum
3. Young's modulus of elasticity
4. Coefficient of viscosity
Subtopic:  Dimensions |
80%
From NCERT
NEET - 2022
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If force $$[F]$$, acceleration $$[A]$$ and time $$[T]$$ are chosen as the fundamental physical quantities, then find the dimensions of energy:
1. $$\left[FAT^{-1}\right]$$
2. $$\left[FA^{-1}T\right]$$
3. $$\left[FAT\right]$$
4. $$\left[FAT^{2}\right]$$

Subtopic:  Dimensions |
64%
From NCERT
NEET - 2021
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If $$E$$ and $$G$$, respectively, denote energy and gravitational constant, then $$\dfrac{E}{G}$$ has the dimensions of:

 1 $$[ML^0T^0]$$ 2 $$[M^2L^{-2}T^{-1}]$$ 3 $$[M^2L^{-1}T^{0}]$$ 4 $$[ML^{-1}T^{-1}]$$
Subtopic:  Dimensions |
76%
From NCERT
NEET - 2021
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