(C) The dimension of angular velocity $\omega$ is given by $\omega = \frac{d\theta}{dt}$,where $\theta$ is dimensionless and $t$ is time. Thus,$[\omeg

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(C) The dimension of angular velocity $\omega$ is given by $\omega = \frac{d\theta}{dt}$,where $\theta$ is dimensionless and $t$ is time. Thus,$[\omega] = [T^{-1}]$.The dimension of frequency $n$ is defined as the number of cycles per unit time,so $[n] = [T^{-1}]$.Since both angular velocity and frequency have the same dimensional formula $[T^{-1}]$,option $(c)$ is correct.

Class 11 Physics Units, Dimensions and Measurement Mix Examples-Units, Dimensions and Measurement

Medium

Which of the following pairs have the same dimensions?

A
Force and strain
B
Force and stress
C
Angular velocity and frequency
D
Energy and strain

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Class 11 Questions

Class 11

Physics Questions

Chapter

Units, Dimensions and Measurement

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Mix Examples-Units, Dimensions and Measurement

Match the List-$I$ with List-$II$. The correct match in the following is:

List-$I$ List-$II$

$A$. Boltzmann constant $I$. $[ML^0T^0]$

$B$. Coefficient of viscosity $II$. $[ML^{-1}T^{-1}]$

$C$. Water equivalent $III$. $[ML^2T^{-2}K^{-1}]$

$D$. Coefficient of thermal conductivity $IV$. $[MLT^{-3}K^{-1}]$

EasyAP EAMCET 2016

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Match List-$I$ with List-$II$.
List-$I$ List-$II$
$(A)$ Mass density $(I)$ $[ML^2T^{-3}]$
$(B)$ Impulse $(II)$ $[MLT^{-1}]$
$(C)$ Power $(III)$ $[ML^2T^0]$
$(D)$ Moment of inertia $(IV)$ $[ML^{-3}T^0]$
Choose the correct answer from the options given below:

MediumJEE MAIN 2025

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Which of the following groups has different dimensions?

MediumIIT 2005

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Although the units of torque and work are the same,why are they not the same physical quantities?

Easy

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Match the physical quantities in Column-$I$ with those in Column-$II$ having the same dimensions. The correct matching is:
$A$. Entropy $I$. Angular velocity
$B$. Young's modulus of elasticity $II$. Boltzmann constant
$C$. Angular momentum $III$. Energy density
$D$. Decay constant $IV$. Planck's constant

EasyTS EAMCET 2022

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List-$I$	List-$II$
$A$. Boltzmann constant	$I$. $[ML^0T^0]$
$B$. Coefficient of viscosity	$II$. $[ML^{-1}T^{-1}]$
$C$. Water equivalent	$III$. $[ML^2T^{-2}K^{-1}]$
$D$. Coefficient of thermal conductivity	$IV$. $[MLT^{-3}K^{-1}]$

List-$I$	List-$II$
$(A)$ Mass density	$(I)$ $[ML^2T^{-3}]$
$(B)$ Impulse	$(II)$ $[MLT^{-1}]$
$(C)$ Power	$(III)$ $[ML^2T^0]$
$(D)$ Moment of inertia	$(IV)$ $[ML^{-3}T^0]$

$A$. Entropy	$I$. Angular velocity
$B$. Young's modulus of elasticity	$II$. Boltzmann constant
$C$. Angular momentum	$III$. Energy density
$D$. Decay constant	$IV$. Planck's constant

Which of the following pairs have the same dimensions?

Similar Questions

Match List-$I$ with List-$II$.List-$I$List-$II$$(A)$ Mass density$(I)$ $[ML^2T^{-3}]$$(B)$ Impulse$(II)$ $[MLT^{-1}]$$(C)$ Power$(III)$ $[ML^2T^0]$$(D)$ Moment of inertia$(IV)$ $[ML^{-3}T^0]$Choose the correct answer from the options given below:

Which of the following groups has different dimensions?

Although the units of torque and work are the same,why are they not the same physical quantities?

Match the physical quantities in Column-$I$ with those in Column-$II$ having the same dimensions. The correct matching is:$A$. Entropy$I$. Angular velocity$B$. Young's modulus of elasticity$II$. Boltzmann constant$C$. Angular momentum$III$. Energy density$D$. Decay constant$IV$. Planck's constant

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Match List-$I$ with List-$II$.
List-$I$ List-$II$
$(A)$ Mass density $(I)$ $[ML^2T^{-3}]$
$(B)$ Impulse $(II)$ $[MLT^{-1}]$
$(C)$ Power $(III)$ $[ML^2T^0]$
$(D)$ Moment of inertia $(IV)$ $[ML^{-3}T^0]$
Choose the correct answer from the options given below: