Out of the following,the only pair that does not have identical dimensions is

  • A
    Angular momentum and Planck's constant
  • B
    Moment of inertia and moment of a force
  • C
    Work and torque
  • D
    Impulse and momentum

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Similar Questions

Match the physical quantities in List-$I$ with their dimensional formulas in terms of mass $(M)$, length $(L)$, time $(T)$ and electric current $(A)$ given in List-$II$.
List-$I$List-$II$
$(a)$ Torque$(i)$ $[M^{-1}L^{-2}T^4A^2]$
$(b)$ Gravitational constant(ii) $[M^1L^2T^{-1}]$
$(c)$ Capacitance(iii) $[M^{-1}L^3T^{-2}]$
$(d)$ Planck's constant(iv) $[M^1L^2T^{-2}]$

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge,whose pitch is $0.5 \ mm$ and there are $50$ divisions on the circular scale. The reading on the main scale is $2.5 \ mm$ and that on the circular scale is $20$ divisions. If the measured mass of the ball has a relative error of $2 \%$,the relative percentage error in the density is (in $\%$)

$Pascal-Second$ has the dimension of:

Match List-$I$ with List-$II$:
List-$I$ List-$II$
$(A)$ Angular Impulse $(I) [M^0 L^2 T^{-2}]$
$(B)$ Latent Heat $(II) [M L^2 T^{-3} A^{-1}]$
$(C)$ Electrical resistivity $(III) [M L^2 T^{-1}]$
$(D)$ Electromotive force $(IV) [M L^3 T^{-3} A^{-2}]$

Choose the correct answer from the options given below:

Which of the following physical quantities do not have the same dimensions?

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