a) The diagram shows a standing wave in an open organ pipe.
i) Redraw the diagram and show the position of nodes and antinodes. 
ii) Derive an expression for frequency of this mode.
b) What will be the effect of velocity of transverse wave in a stretched string if the radius of the string is doubled?
c) A car is sounding its horn has a frequency 400Hz and travelling towards a stationary traffic post. A traffic police at the post detects the change in frequency of 60Hz when the car crosses him. Find the velocity of car if velocity of sound in air is \( 340\text{ms}^{-1} \)
OR
a) How can a plane wavefront be converted into a spherical wavefront? Justify.
b) What is interference of light? Two coherent waves, each of intensity I, are producing an interference pattern. What will be the resultant intensity at a point of
i) constructive interference and ii) destructive interference?
c) A monochromatic light of wavelength 5890 Ao is incident normally on a diffraction grating which has 6000 lines per centimeter.
i) At what angle will the second order image be seen? ii) Is third order image possible with this grating?