1.A uniform spring of force constant k is cut into two pieces, the lengths of which are in the ratio 1 : 2. The ratio of the force constants of the shorter and the longer pieces is

2.What fraction of the total energy is potential when the displacement is one-half of the amplitude ?

3.A clock pendulum is adjusted for giving correct time in Patna. This clock pendulum also gives correct time in:

4.At what temperature, the velocity of sound will be double its value at 273 K ?

5.The amplitude of a damped oscillator becomes one-half after t second. If the amplitude becomes 1 / n after 3t second, then n is equal to