The physical quantities that have the same di | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) To determine which quantities have the same dimensions,we analyze their dimensional formulas:$1$. Work $(W)$ is defined as force $	imes$ displace

Vedclass · Accepted Answer

Work and torque

Vedclass · Answer

(D) To determine which quantities have the same dimensions,we analyze their dimensional formulas:$1$. Work $(W)$ is defined as force $	imes$ displacement. Its dimension is $[ML^2T^{-2}]$.$2$. Torque $(	au)$ is defined as force $	imes$ perpendicular distance. Its dimension is $[ML^2T^{-2}]$.$3$. Since both work and torque have the same dimensional formula $[ML^2T^{-2}]$,they are the physical quantities with the same dimensions.$4$. Other options: Force is $[MLT^{-2}]$,Power is $[ML^2T^{-3}]$,Latent heat is $[L^2T^{-2}]$,and Specific heat is $[L^2T^{-2}K^{-1}]$. Thus,only Work and Torque match.

$LIST$-$I$	$LIST$-$II$
$A$. Planck's constant	$I$. $ML^2T^{-2}$
$B$. Stopping potential	$II$. $T^{-1}$
$C$. Work function	$III$. $ML^2T^{-1}$
$D$. Threshold frequency	$IV$. $ML^2T^{-3}A^{-1}$

$I$ (Fundamental forces in nature)	$II$ (Relative strength)
$(A)$ Strong nuclear force	$(e)$ $10^{-2}$
$(B)$ Weak nuclear force	$(f)$ $1$
$(C)$ Electromagnetic force	$(g)$ $10^{10}$
$(D)$ Gravitational force	$(h)$ $10^{-13}$
	$(i)$ $10^{-39}$

The physical quantities that have the same dimensions are:

Similar Questions

$Erg \cdot m^{-1}$ can be the unit of measure for

Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:
$LIST$-$I$ $LIST$-$II$
$A$. Planck's constant $I$. $ML^2T^{-2}$
$B$. Stopping potential $II$. $T^{-1}$
$C$. Work function $III$. $ML^2T^{-1}$
$D$. Threshold frequency $IV$. $ML^2T^{-3}A^{-1}$

Which of the following groups has different dimensions?

The distance of a galaxy is of the order of $10^{25} \ m$. Calculate the order of magnitude of time taken by light to reach us from the galaxy.

Vedclass Test Series

Exam Paper Generator

Online Exam Module