If C, R, L and I denote Capacity, Resistance, Inductance and Electric current respectively, the quantities having the same dimensions of time are
(i)CR (ii)`L/R`
(iii)`sqrt(LC)` (iv)`LI^(2)`

Options

A. (1) and (2) only
B. (1) and (3) only
C. (1) and (4) only
D. (1),(2) and (3) only

Answer

D

Explanation

(A) Planck's constant = Energy/Frequency `= [ML^(2)T^(-2)]/[T^(-1)] = [ML^(2)T^(-3)]`
(B) Gravitational constant = ` Fr^(2)/m_(1)m_(2) = [MLT^(-2)][L^(2)] = [M^(-1)L^(3)T^(-2)]`
( C) Bulk modulus = Bulk stress/Volume strain =` (F//A)/dv/v = [ML^(-1)T^(-2)]`
(D) Co-efficient of viscocity = `[F]/(A.(dv/dx)) = [MLT^(-2)]/(L^(2)[LT^(-1)/L]) = [ML^(-1)T^(-1)]`