JEE Advanced Model Paper 14 with solutions for online practice

0.01 moles of an ideal diatomic gas is enclosed in an adiabatic cylinder of cross-sectional area A = 10−4m2 . In the arrangement shown, a block of mass M = 0.8 kg is placed on a horizontal support, and another block of mass m = 1kg is suspendedfrom a spring of stiffness constant k = 16 N/m. Initially, the spring is relaxed and the volume of the gas is V = 1.4 × 10−4m3 . What is the angular frequency (in rad . s−1) of the suspended system ? (P0 - 105 N/m2 , g = 10 m/s2)