A vibrating toning fork is held at the mouth of (i) a closed pipe and (ii) an open pipe. Draw diagrams to show the formation of various modes. Obtain the frequency of the fundamental mode and
(ii) higher harmonics, in each case.

Write down the expression for the nth harmonic in (i) closed pipe (ii) an open pipe.

Draw a diagram to show the various modes of vibration of a stretched string.

Draw diagrams to show the various modes of vibration in (i) an open pipe and (ii) a closed pipe.

What is the fundamental frequency of vibration of air in (i) an open pipe and (ii) a closed pipe.

A linear object is placed on the axis of a lens. An image is formed by refraction in the lens. For all positions of the object on the axis of the lens, the positions of the image are always between the lens and the object. (i) Name the lens. (ii) Draw a ray diagram to show the formation of the image of an object placed in front of the lens at any position of your choice except infinity.

Draw graphs to show the variation of amplitude with driving frequency of a forced harmonic oscillator under (i) zero damping, (ii) low damping and (iii) high damping

Two narrow cylindrical pipes A and B have the same length. Pipe A is open at both ends and is filled with a monoatomic gas of molar mass M_(A) . Pipe B is open at one end and closed at the other end, and is filled with a diatomic gas of molar mass M_(B) . Both gases are at the same temperature. (a) If the frequency of the second harmonic of the fundamental mode in pipe A is equal to the frequency of the third harmonic of the fundamental mode in pipe B , determine the value of M_(B)//M_(B) . (b) Now the open end of pipe B is also closed (so that the pipe is closed at both ends). Find the ratio of the fundamental frequency in pipe A to that in pipe B .

(a) Explain the formation of standing waves in an organ pipe closed at one end and discuss the various modes of vibration.

A metal wire of diameter 1 mm is held on two knife by a distance 50 cm . The tension in the wire is 100 N . The wire vibrating with its fundamental frequency and a vibrationg tuning fork together produce 5 beats//s . The tension in the wire is then reduced to 81 N . When the two excited , beats are heard at the same rate . Calculate i. the frequency of the fork and ii. the density of material of wire

A body held completely immersed inside a liquid experiences two forces: (i) F_(1) , the force due to gravity and (ii) F_(2) the buoyant force. Draw a diagram showing the direction of these forces acting on the body and state the conditions when the body will float or sink.