Dimensions of frequency are

(1) ${M}^{0}{L}^{-1}{T}^{0}$

(2) ${M}^{0}{L}^{0}{T}^{-1}$

(3) ${M}^{0}{L}^{0}T$

(4) $M{T}^{-2}$

Concept Questions :-

Dimensions
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Difficulty Level:

Which one has the dimensions different from the remaining three

(1) Power

(2) Work

(3) Torque

(4) Energy

Concept Questions :-

Dimensions
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Difficulty Level:

A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity $\eta$. After some time the velocity of the ball attains a constant value known as terminal velocity ${v}_{T}$. The terminal velocity depends on (i) the mass of the ball m, (ii) $\eta$, (iii) r and (iv) acceleration due to gravity g. Which of the following relations is dimensionally correct

(1) ${v}_{T}\propto \frac{mg}{\eta r}$

(2) ${v}_{T}\propto \frac{\eta r}{mg}$

(3) ${v}_{T}\propto \eta rmg$

(4) ${v}_{T}\propto \frac{mgr}{\eta }$

Concept Questions :-

Dimensions
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Difficulty Level:

The quantity $X=\frac{{\epsilon }_{0}LV}{t}:{\epsilon }_{0}$ is the permittivity of free space, Lis length, V is potential difference and t is time. The dimensions of X are same as that of

(1) Resistance

(2) Charge

(3) Voltage

(4) Current

Concept Questions :-

Dimensions
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Difficulty Level:

${\mu }_{0}$ and ${\epsilon }_{0}$ denote the permeability and permittivity of free space, the dimensions of ${\mu }_{0}{\epsilon }_{0}$ are

(1) $L{T}^{-1}$

(2) ${L}^{-2}{T}^{2}$

(3) ${M}^{-1}{L}^{-3}{Q}^{2}{T}^{2}$

(4) ${M}^{-1}{L}^{-3}{I}^{2}{T}^{2}$

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The expression $\left[M{L}^{2}{T}^{-2}\right]$ represents

(1) Pressure

(2) Kinetic energy

(3) Momentum

(4) Power

Concept Questions :-

Dimensions

Difficulty Level:

The dimensions of physical quantity X in the equation Force $=\frac{X}{\text{Density}}$ is given by

(1) ${M}^{1}{L}^{4}{T}^{-2}$

(2) ${M}^{2}{L}^{-2}{T}^{-1}$

(3) ${M}^{2}{L}^{-2}{T}^{-2}$

(4) ${M}^{1}{L}^{-2}{T}^{-1}$

Concept Questions :-

Dimensions
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Difficulty Level:

The dimensions of CV2 matches with the dimensions of

(1) L2I

(2) L2I 2

(3) LI2

(4) $\frac{1}{LI}$

Concept Questions :-

Dimensions
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Difficulty Level:

The Martians use force (F), acceleration (A) and time (T) as their fundamental physical quantities. The dimensions of length on Martians system are

(1) FT2

(2) ${F}^{-1}{T}^{2}$

(3) ${F}^{-1}{A}^{2}{T}^{-1}$

(4) AT2

Concept Questions :-

Dimensions
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Difficulty Level:

The dimension of $\frac{1}{\sqrt{{\epsilon }_{0}{\mu }_{0}}}$ is that of

(1) Velocity

(2) Time

(3) Capacitance

(4) Distance

Concept Questions :-

Dimensions