JEE Main · 2021 · 31 Aug 2021 · Shift 1 · Units & Measurement

Match List-I with List-II.

List-I:
(a) Torque
(b) Impulse
(c) Tension
(d) Surface Tension

List-II:
(i)

M L T^{- 1}

(ii)

M T^{- 2}

(iii)

M L^{2} T^{- 2}

(iv)

M L T^{- 2}

Choose the most appropriate answer from the option given below :

Answer: A → III, B → I, C → IV, D → II

Solution

Torque is force times distance,

[M L T^{- 2}] [L] = M L^{2} T^{- 2}

. Impulse is force times time,

[M L T^{- 2}] [T] = M L T^{- 1}

. Tension is a force,

M L T^{- 2}

. Surface tension is force per unit length,

\frac{M L T ^{- 2}}{L} = M T^{- 2}

. So torque matches

M L^{2} T^{- 2}

, impulse matches

M L T^{- 1}

, tension matches

M L T^{- 2}

and surface tension matches

M T^{- 2}

JEE Main · 2021 · 31 Aug 2021 · Shift 1 · Match the columns