Which of the following pairs of quantities do | vedclass

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Question

(C) $1$. Potential gradient $(dV/dx)$ has dimensions $[M L T^{-3} A^{-1}]$,and electric field $(E = F/q)$ also has dimensions $[M L T^{-3} A^{-1}]$.$2

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Light year,time period

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(C) $1$. Potential gradient $(dV/dx)$ has dimensions $[M L T^{-3} A^{-1}]$,and electric field $(E = F/q)$ also has dimensions $[M L T^{-3} A^{-1}]$.$2$. Torque $(	au = r 	imes F)$ and kinetic energy $(K = 1/2 mv^2)$ both have dimensions $[M L^2 T^{-2}]$.$3$. Light year is a unit of distance with dimensions $[L]$,while time period is a unit of time with dimensions $[T]$. Since $[L] 
eq [T]$,this pair does not have the same dimensions.$4$. Impedance $(Z)$ and reactance $(X)$ both have dimensions of resistance,$[M L^2 T^{-3} A^{-2}]$.Therefore,the correct option is $C$.

List-$I$	List-$II$
$(A)$ Young's Modulus	$(I)$ $[ML^{-1}T^{-1}]$
$(B)$ Torque	$(II)$ $[ML^{-1}T^{-2}]$
$(C)$ Coefficient of Viscosity	$(III)$ $[M^{-1}L^3T^{-2}]$
$(D)$ Gravitational Constant	$(IV)$ $[ML^2T^{-2}]$

Which of the following pairs of quantities do not have the same dimensions?

Similar Questions

Select the pair from the following that does not have the same dimensions.

$0.1 \, Pa = \dots \, Nm^{-2} = \dots \, \text{dyne} \, cm^{-2}$.

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

Which of the following has the same dimensional formula?

Match List-$I$ with List-$II$:
List-$I$ List-$II$
$(A)$ Young's Modulus $(I)$ $[ML^{-1}T^{-1}]$
$(B)$ Torque $(II)$ $[ML^{-1}T^{-2}]$
$(C)$ Coefficient of Viscosity $(III)$ $[M^{-1}L^3T^{-2}]$
$(D)$ Gravitational Constant $(IV)$ $[ML^2T^{-2}]$

Choose the correct answer from the options given below:

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