If energy $(E),$ velocity $(V)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be

  • [AIPMT 2015]
  • [AIEEE 2012]
  • A

    $[EV^{-2}T^{-1}]$

  • B

    $[EV^{-1}T^{-2}]$

  • C

    $[EV^{-2}T^{-2}]$

  • D

    $[E^{-2} V^{-1}T^{-3}]$

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  • [JEE MAIN 2023]

Consider a simple pendulum, having a bob attached to a string, that oscillates under the action of the force of gravity. Suppose that the period of oscillation of the simple pendulum depends on its length $(l)$, mass of the bob $(m)$ and acceleration due to gravity $(g)$. Derive the expression for its time period using method of dimensions.