M{L^{ - 1}}{T^{ - 2}} represents: | vedclass

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(D) The dimensional formula for force is $[F] = [MLT^{-2}]$.Stress is defined as force per unit area: $	ext{Stress} = F/A$. Its dimensions are $[MLT^

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All the above three quantities

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(D) The dimensional formula for force is $[F] = [MLT^{-2}]$.Stress is defined as force per unit area: $	ext{Stress} = F/A$. Its dimensions are $[MLT^{-2}] / [L^2] = [ML^{-1}T^{-2}]$.Pressure is defined as force per unit area: $	ext{Pressure} = F/A$. Its dimensions are $[MLT^{-2}] / [L^2] = [ML^{-1}T^{-2}]$.Young's Modulus $(Y)$ is defined as the ratio of stress to strain: $Y = 	ext{Stress} / 	ext{Strain}$. Since strain is a dimensionless quantity,the dimensions of Young's Modulus are the same as those of stress,which is $[ML^{-1}T^{-2}]$.Therefore,all three quantities have the same dimensional formula: $[ML^{-1}T^{-2}]$.

List-$I$	List-$II$
$(A)$ Torque	$(I)$ $ML^{-2}T^{-2}$
$(B)$ Stress	$(II)$ $ML^2T^{-2}$
$(C)$ Pressure gradient	$(III)$ $ML^{-1}T^{-1}$
$(D)$ Coefficient of viscosity	$(IV)$ $ML^{-1}T^{-2}$

Column-$I$	Column-$II$
$(a)$ Wien's constant	$(i)$ $W m^{-2} K^{-4}$
$(b)$ Stefan-Boltzmann's constant	$(ii)$ $W m^{-1} K^{4}$
	$(iii)$ $m K$

$M{L^{ - 1}}{T^{ - 2}}$ represents:

Similar Questions

Choose the correct statement from the following.

In a new system,the unit of mass is $10 \ kg$,the unit of length is $5 \ m$,and the unit of time is $10 \ s$. Then,in this new system,$20 \ g/cm^3$ is equal to:

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Match List-$I$ with List-$II$:
List-$I$ List-$II$
$(A)$ Torque $(I)$ $ML^{-2}T^{-2}$
$(B)$ Stress $(II)$ $ML^2T^{-2}$
$(C)$ Pressure gradient $(III)$ $ML^{-1}T^{-1}$
$(D)$ Coefficient of viscosity $(IV)$ $ML^{-1}T^{-2}$

Choose the correct answer from the options given below:

Units for constants in Column-$I$ and $SI$ unit is given in Column-$II$. Match the followings:

Column-$I$ Column-$II$

$(a)$ Wien's constant $(i)$ $W m^{-2} K^{-4}$

$(b)$ Stefan-Boltzmann's constant $(ii)$ $W m^{-1} K^{4}$

$(iii)$ $m K$

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