Which of the following pairs have same dimensional formula for both the quantities ?
`(i)` kinetic energy and torque
`(ii)` resistance and inductance
`(iii)` Young's Modulus and Pressure

Options

A. (1) only
B. (2) only
C. (1) and (3) only
D. All of three

Answer

C

Explanation

Both kinetic energy and torque have same dimensional formula `[ML^(2)T^(-2)]`.
Resistance and inductance have different dimensional formulae.
Dimensional formula of resistance is `[ML^(2)T^(-3)A^(-2)]`
Dimensional formula of inductance is `[ML^(2)T^(-2)A^(-2)]`
Both Young.s modulus and pressure have same dimensional formula `[ML^(-1)T^(-2)]`.