JEE Main Physics question
A light string passing over a smooth light pulley connects two blocks of masses m₁ and m₂ (vertically). If the acceleration of the system is g/8, then the ratio of the masses is
Answer: (B)
Solution
a = (m₁−m₂)g/(m₁+m₂) = g/8 ⟹ 8(m₁−m₂) = m₁+m₂ ⟹ 8m₁−8m₂ = m₁+m₂ ⟹ 7m₁ = 9m₂ ⟹ m₁/m₂ = 9/7.