IIT-JEE Exam

A diatomic ideal gas is compressed adiabatically to 1/32
of its initial volume. In the initial temperature of
the gas is Ti (in Kelvin) and the final temperature is aTi, the value of a is

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IIT-JEE Other Question

Image of an object approaching a convex mirror of radius of curvature 20 m along its optical axis is
observed to move from 25/3m to 50/7 m
in 30 seconds. What is the speed of the object in km per hour ?
It is found that the excitation frequency from ground to the first excited state of rotation for the CO
molecule is close to
4/π * 10^11 Hz Then the moment of inertia of CO molecule about its center of mass is
close to