JEE Main 2024 Physics question
A light string passing over a smooth light pulley connects two blocks of masses and (where ). If the acceleration of the system is , then the ratio of the masses is:
Answer: (A)
Solution
a = (m₂ − m₁)g/(m₁ + m₂) = g/√2 ⇒ (1 − r)/(1 + r) = 1/√2 with r = m₁/m₂, so r = (√2 − 1)/(√2 + 1).