(A) The dimension of Planck's constant $(h)$ is $[M L^2 T^{-1}]$.The dimension of the moment of inertia $(I)$ is $[M L^2]$.The ratio is given by $\fra

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(A) The dimension of Planck's constant $(h)$ is $[M L^2 T^{-1}]$.The dimension of the moment of inertia $(I)$ is $[M L^2]$.The ratio is given by $\frac{h}{I} = \frac{[M L^2 T^{-1}]}{[M L^2]} = [T^{-1}]$.The dimension $[T^{-1}]$ corresponds to frequency.

Class 11 Physics Units, Dimensions and Measurement Dimensions and Dimensional Formula

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What is the dimension of the ratio of Planck's constant $(h)$ to the moment of inertia $(I)$?

A
Frequency
B
Velocity
C
Angular momentum
D
Time

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Dimensions and Dimensional Formula

If $w, x, y$ and $z$ are mass,length,time and current respectively,then $\frac{x^2w}{y^3z}$ has dimensional formula same as

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If $G$ is the gravitational constant and $u$ is the energy density,then which of the following quantities has the same dimensions as $\sqrt{uG}$?

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The expression $[M{L^2}{T^{ - 2}}]$ represents

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The dimensional formula for pressure head is ............

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Match the physical quantities in Column-$I$ with their corresponding dimensional formulas in Column-$II$.

Column-$I$ Column-$II$

$(1)$ Torque $(a)$ $M^1L^1T^{-1}$

$(2)$ Angular momentum $(b)$ $M^1L^2T^{-1}$

$(3)$ Linear momentum $(c)$ $M^1L^2T^{-2}$

Column-$I$	Column-$II$
$(1)$ Torque	$(a)$ $M^1L^1T^{-1}$
$(2)$ Angular momentum	$(b)$ $M^1L^2T^{-1}$
$(3)$ Linear momentum	$(c)$ $M^1L^2T^{-2}$

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What is the dimension of the ratio of Planck's constant $(h)$ to the moment of inertia $(I)$?

Similar Questions

If $w, x, y$ and $z$ are mass,length,time and current respectively,then $\frac{x^2w}{y^3z}$ has dimensional formula same as

If $G$ is the gravitational constant and $u$ is the energy density,then which of the following quantities has the same dimensions as $\sqrt{uG}$?

The expression $[M{L^2}{T^{ - 2}}]$ represents

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Match the physical quantities in Column-$I$ with their corresponding dimensional formulas in Column-$II$. Column-$I$ Column-$II$ $(1)$ Torque $(a)$ $M^1L^1T^{-1}$ $(2)$ Angular momentum $(b)$ $M^1L^2T^{-1}$ $(3)$ Linear momentum $(c)$ $M^1L^2T^{-2}$

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Match the physical quantities in Column-$I$ with their corresponding dimensional formulas in Column-$II$.

Column-$I$ Column-$II$

$(1)$ Torque $(a)$ $M^1L^1T^{-1}$

$(2)$ Angular momentum $(b)$ $M^1L^2T^{-1}$

$(3)$ Linear momentum $(c)$ $M^1L^2T^{-2}$