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(C) The dimensions of the given quantities are as follows:$1$. Planck's constant: $[M L^2 T^{-1}]$,Angular momentum: $[M L^2 T^{-1}]$. They have the s

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Angular momentum and frequency

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(C) The dimensions of the given quantities are as follows:$1$. Planck's constant: $[M L^2 T^{-1}]$,Angular momentum: $[M L^2 T^{-1}]$. They have the same dimensions.$2$. Impulse: $[M L T^{-1}]$,Linear momentum: $[M L T^{-1}]$. They have the same dimensions.$3$. Angular momentum: $[M L^2 T^{-1}]$,Frequency: $[T^{-1}]$. They have different dimensions.$4$. Pressure: $[M L^{-1} T^{-2}]$,Young's modulus: $[M L^{-1} T^{-2}]$. They have the same dimensions.Therefore,the correct option is $C$.

List $I$	List $II$
$A$. Torque	$I$. $[M^1 L^1 T^{-2} A^{-2}]$
$B$. Magnetic field	$II$. $[L^2 A^1]$
$C$. Magnetic moment	$III$. $[M^1 T^{-2} A^{-1}]$
$D$. Permeability of free space	$IV$. $[M^1 L^2 T^{-2}]$

Identify the pair which has different dimensions.

Similar Questions

The density of a substance is $4 \, g/cc$ in a system in which the unit of length is $5 \, cm$ and the unit of mass is $20 \, g$. The density of the substance in the $CGS$ system is: (in $units$)

Identify the physical parameters from the list given below that have the same dimensions:
$(i)$ Magnetic field $(B)$
$(ii)$ Energy density $(u)$
$(iii)$ Refractive index $(\mu)$
$(iv)$ Young's modulus $(Y)$
$(v)$ Dielectric constant $(K)$

Of the following quantities,which one has dimensions different from the remaining three?

Which relation is wrong?

Match List $I$ with List $II$:

List $I$ List $II$

$A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$

$B$. Magnetic field $II$. $[L^2 A^1]$

$C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$

$D$. Permeability of free space $IV$. $[M^1 L^2 T^{-2}]$

Choose the correct answer from the options given below:

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