The dimensions of surface tension are

  • A
    $[MLT^{-1}]$
  • B
    $[ML^2T^{-2}]$
  • C
    $[ML^0T^{-2}]$
  • D
    $[ML^{-1}T^{-2}]$

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Dimensions of the coefficient of viscosity are

Given below are two statements :
Statement $(I)$ : Dimensions of specific heat are $\left[L^2 \,T^{-2} \,K^{-1}\right]$.
Statement $(II)$ : Dimensions of gas constant are $\left[ML^2 \,T^{-1} \,K^{-1}\right]$.

$\left[ML^2 T^{-2} K^{-1}\right]$ is the dimensional formula of which physical quantity?

Match the following two columns:
Column-$I$ Column-$II$
$(A)$ Electrical resistance $(p)$ $M L^3 T^{-3} A^{-2}$
$(B)$ Electrical potential $(q)$ $M L^2 T^{-3} A^{-2}$
$(C)$ Specific resistance $(r)$ $M L^2 T^{-3} A^{-1}$
$(D)$ Specific conductance $(s)$ None of these

The electrical resistance $R$ of a conductor of length $l$ and area of cross-section $a$ is given by $R = \frac{\rho l}{a}$,where $\rho$ is the electrical resistivity. What is the dimensional formula for electrical conductivity $\sigma$,which is the reciprocal of resistivity?

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