The dimensional formula of a physical quantity is $[M^{a} L^{b} T^{c}]$. Then,that physical quantity is:

  • A
    spring constant if $a=1, b=0, c=-2$
  • B
    surface tension if $a=1, b=0, c=-2$
  • C
    force if $a=1, b=1, c=2$
  • D
    angular frequency if $a=0, b=0, c=-1$

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What is the dimensional formula of an electron volt $(eV)$, and what is its value in Joules $(J)$?

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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 dimension of $\sqrt{\frac{\mu_0}{\varepsilon_0}}$ is the same as:

The dimensional formula of the effective torsional constant of a spring is . . . . . . .

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