A bakelite beaker has capacity 500 cc at 30°C and is partially filled with Vₘ cc of mercury. The unfilled volume remains constant as temperature changes. The volume-expansion coefficients are γ₁=6×10⁻⁶ °C⁻¹ for the beaker and γ₂=1.5×10⁻⁴ °C⁻¹ for mercury. Find Vₘ in cc.

Physics · Thermodynamics

JEE Mains 2020

A bakelite beaker has capacity 500 cc at 30°C and is partially filled with Vₘ cc of mercury. The unfilled volume remains constant as temperature changes. The volume-expansion coefficients are γ₁=6×10⁻⁶ °C⁻¹ for the beaker and γ₂=1.5×10⁻⁴ °C⁻¹ for mercury. Find Vₘ in cc.