A body is suspended from a string of length 1 m and mass 2 g. The mass of the body to produce a fundamental mode of 100 Hz frequency in the string is (Acceleration due to gravity $$=10 \mathrm{~ms}^{-2}$$)

A string fixed at both ends vibrate in 5 loops as shown in the figure. The total number of nodes and anti-nodes respectively are

Match the following.

The sources of sound A and B produce a wave of 350 Hz in same phase. A particle P is vibrating under an influence of these two waves. If the amplitudes at P produced by the two waves is 0.3 mm and 0.4 mm, the resultant amplitude of the point P will be, when AP $$-$$ BP = 25 cm and the velocity of sound is 350 ms$$^{-1}$$