Question

(i) The dimensions of torque are.........
(a) [L2MT-2] (b) [LMT-1)
(c) [L2MT-1]
(d) (LMT-2)​

Answer 1

$\mathfrak{ \huge{ \red{ \underline{ \underline{ANSWER}}}}} \\ \\ \star \: \boxed{ \huge{ \blue{To \: Find}}} \\ \\ \implies \: dimension \: of \: torque \: ( \tau) \\ \\ \star \: \boxed{ \huge{ \blue{Calculation}}} \\ \\ \implies \: torque = force \times distance \\ \\ \implies \: dimension \: of \: force = {m}^{1} {l}^{1} {t}^{ - 2} \\ \\ \implies \: dimension \: of \: distance = {l}^{1} \\ \\ \implies \: so \: dimension \: of \: torque = {m}^{1} {l}^{2} {t}^{ - 2} \\ \\ \star \: \: \boxed{ \boxed{ \green{ \tau = {m}^{1} {l}^{2} {t}^{ - 2}}}} \: \: \star$