Draw a neat diagram showing the fundamental and next two harmonics of the vibration of a stretched string fixed at both ends.

Draw the representative diagram to show the formation of 3rd and 5th harmonics in a closed organ pipe.

Two organ pipes one open at both ends,and the other open at one end only give their fundamental noteswhose frequencies differ by 25 vibration per second.The length of the open pipre is 96 cm.Calculate the length of the closed pipe if the velocity of sound in air is 330 m(s)^-1 .

Show by two neat diagrams that the frequency of the first overtone of vibrating air coloumn in a organ pipe open at one end is three times the frequency of its fundamental vibration.

The length of a cylindrical glass tube is 30 cm.the velocity of sound in air is 330 m(s)^-1 .What is the fundamental frequency of vibration of the air coloumn if (i)both ends of the tube are open and (ii)open end is closed and flat?

(Attempt any ten of the following questions) Draw a neat diagram to show lateral shift. of a ray refracted through a parallel-sided slab. Indicate the lateral shift in the diagram by a double-headed arrow.

Draw diagrams to show how a p-n junction is forward biased Draw V-I characteristics of the diode in both conditions and show in it break down voltage. Mention one important use of Zener diode.

Name two cell-organelles that are double membrane bound. What are the characteristeics of these two organelles? State their functions and draw labelled diagrams of both.