Given below are two statements :Statement (I) | vedclass

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(A) The dimensional formula for Planck's constant $(h)$ is $[h] = ML^2 T^{-1}$.The dimensional formula for angular momentum $(L)$ is $[L] = ML^2 T^{-1

Vedclass · Accepted Answer

Statement $I$ is true but Statement $II$ is false

Vedclass · Answer

(A) The dimensional formula for Planck's constant $(h)$ is $[h] = ML^2 T^{-1}$.The dimensional formula for angular momentum $(L)$ is $[L] = ML^2 T^{-1}$.Since both have the same dimensions,Statement $I$ is true.The dimensional formula for linear momentum $(P)$ is $[P] = MLT^{-1}$.The dimensional formula for moment of force (torque,$	au$) is $[	au] = ML^2 T^{-2}$.Since these dimensions are different,Statement $II$ is false.Therefore,Statement $I$ is true but Statement $II$ is false.

List-$I$	List-$II$
$(A)$ Angular momentum	$(I)$ $[ML^2T^{-1}]$
$(B)$ Torque	$(II)$ $[ML^2T^{-2}]$
$(C)$ Stress	$(III)$ $[ML^{-1}T^{-2}]$
$(D)$ Pressure gradient	$(IV)$ $[ML^{-2}T^{-2}]$

Given below are two statements :
$Statement$ $(I)$ : Planck's constant and angular momentum have same dimensions.
$Statement$ $(II)$ : Linear momentum and moment of force have same dimensions.
In the light of the above statements,choose the correct answer from the options given below :

Similar Questions

The dimensions of the interatomic force constant are

Match List-$I$ with List-$II$.

List-$I$ List-$II$

$(A)$ Angular momentum $(I)$ $[ML^2T^{-1}]$

$(B)$ Torque $(II)$ $[ML^2T^{-2}]$

$(C)$ Stress $(III)$ $[ML^{-1}T^{-2}]$

$(D)$ Pressure gradient $(IV)$ $[ML^{-2}T^{-2}]$

Choose the correct answer from the options given below:

The dimensional formula of $\frac{B^2}{2\mu_0}$ is . . . . . . .

The dimension of $\frac{B^{2}}{2 \mu_{0}}$,where $B$ is magnetic field and $\mu_{0}$ is the magnetic permeability of vacuum,is

The dimensions of $(\mu_0 \varepsilon_0)^{-1/2}$ are

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Given below are two statements :$Statement$ $(I)$ : Planck's constant and angular momentum have same dimensions.$Statement$ $(II)$ : Linear momentum and moment of force have same dimensions.In the light of the above statements,choose the correct answer from the options given below :