(i) How free vibration is different from damped vibration? (ii) An enemy plane is at a distance of 300 km from a radar. In how much time the radar will be able to detect the plane? Take velocity of radio waves as $3 \times 10^5 kms ^{-1}$. (iii) (a) (i) Draw a graph between displacement and the time for a body executing free vibrations. (ii) Where can a body execute free vibrations? (b) (i) State the safe limit of sound level in terms of decibel for human hearing. (ii) Name the characteristic of sound in relation to its waveform.