Which of the following pairs of physical quan | vedclass

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(C) To determine which pair does not have the same dimensional formula,we analyze each option:$1$. Work $(W = F \cdot d)$ and Torque $(	au = r 	imes

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Tension and Surface tension

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(C) To determine which pair does not have the same dimensional formula,we analyze each option:$1$. Work $(W = F \cdot d)$ and Torque $(	au = r 	imes F)$ both have the dimensional formula $[ML^2T^{-2}]$.$2$. Angular momentum $(L = mvr)$ and Planck's constant $(h = E/f)$ both have the dimensional formula $[ML^2T^{-1}]$.$3$. Tension is a force,so its dimensional formula is $[MLT^{-2}]$. Surface tension is force per unit length,so its dimensional formula is $[MT^{-2}]$. These are not the same.$4$. Impulse $(J = F \cdot \Delta t)$ and Linear momentum $(p = mv)$ both have the dimensional formula $[MLT^{-1}]$.Therefore,the pair that does not have the same dimensional formula is Tension and Surface tension.

$(A)$ Thermal conductivity	$(i)$ $MLT^{-3}K^{-1}$
$(B)$ Boltzmann constant	(ii) $M^0L^2T^{-2}K^{-1}$
$(C)$ Latent heat	(iii) $ML^2T^{-2}K^{-1}$
$(D)$ Specific heat	(iv) $M^0L^2T^{-2}$

Which of the following pairs of physical quantities does not have the same dimensional formula?

Similar Questions

Match the following physical quantities with their respective dimensional formulas:
$(A)$ Thermal conductivity $(i)$ $MLT^{-3}K^{-1}$
$(B)$ Boltzmann constant (ii) $M^0L^2T^{-2}K^{-1}$
$(C)$ Latent heat (iii) $ML^2T^{-2}K^{-1}$
$(D)$ Specific heat (iv) $M^0L^2T^{-2}$

If $\epsilon_0$,$E$,and $t$ represent the free space permittivity,electric field,and time respectively,then the unit of $\frac{\epsilon_0 E}{t}$ will be:

If $R$,$X_L$,and $X_C$ represent resistance,inductive reactance,and capacitive reactance respectively,then which of the following is dimensionless?

The units of length,velocity,and force are doubled. Which of the following is the correct change in the other units?

Identify the pair which has different dimensions.

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