Identify the pair which has different dimensions.

  • A
    Planck's constant and angular momentum
  • B
    Impulse and linear momentum
  • C
    Angular momentum and frequency
  • D
    Pressure and Young's modulus

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Similar Questions

Some physical quantities are given in Column $I$ and some possible $SI$ units in which these quantities may be expressed are given in Column $II$. Match the physical quantities in Column $I$ with the units in Column $II$.
Column $I$ Column $II$
$(A)$ $GM_e M_s$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$M_s$: mass of the Sun) $(p)$ $(\text{volt})(\text{coulomb})(\text{metre})$
$(B)$ $\frac{3RT}{M}$ ($R$: universal gas constant,$T$: absolute temperature,$M$: molar mass) $(q)$ $(\text{kg})(\text{m})^3(\text{s})^{-2}$
$(C)$ $\frac{F^2}{q^2 B^2}$ ($F$: force,$q$: charge,$B$: magnetic field) $(r)$ $(\text{m})^2(\text{s})^{-2}$
$(D)$ $\frac{GM_e}{R_e}$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$R_e$: radius of the earth) $(s)$ $(\text{farad})(\text{volt})^2(\text{kg})^{-1}$

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 $(ii)$ $W m^{-1} K^{4}$
$(iii)$ $m K$

$Joule-second$ is the unit of

The mechanical equivalent of heat $J$ is

Although the units of torque and work are the same,why are they not the same physical quantities?

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