AB is a cylinder of length 1m fitted with a thin flexible diaphragm C at middle and two other thin flexible diaphragms A and B at the ends as shown The portions AC and BC contain hydrogen and oxygen gases respectively The diaphragms A and B are set into vibrations of the same frequency The minimum frequency of these vibrations for which diaphragm C is a node is (Under the conditions of the experiment the velocity of sound in hydrogen is 1100 m/s and oxygen 300 m/s)

A rod PQ of length ‘L’ is hung from two identical wires A and B A block of mass ‘m’ is hung at point R of the rod as shown in figure The value of ‘x’ so that the fundamental mode in wire A is in resonance with first overtone of B is

The length of the wire shown in figure between the pulley is 1.5m and its mass is 12 gm Find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest

In a sonometer wire, the tension is maintained by suspending a 20kg mass from the free end of the wire The fundamental frequency of vibration is 300 Hz

If the tension is provided by two masses of 6kg and 14kg suspended from a pulley as show in the figure the fundamental frequency will

A long rubber tube having mass 0.9kg is fastened to a fixed support and the free end of the tube is attached to a chord which passes over a pulley and supports an object, with a mass of 5kg as shown in figure If the tube is struck by a transverse blow at one end, the time required for the pulse to reach the other end is

A plane progressive wave is shown in the adjoining phase diagram The wave equation of this wave, if its position is shown at t=0, is

A source of sound is travelling at along a road, towards a point A When the source is 3m away from A,a person standing at a point O on a road perpendicular to the track hears a sound of frequency ‘ν’.The distance of O from A at that time is 4m.If the original frequency is 640 Hz, then the value of ν is (given velocity of sound

A ‘pop’ gun consists a tube 25cm long closed at one end by a cork and the other end by a tightly fitted piston as shown The piston is pushed slowly in When the pressure rises to one and half times the atmospheric pressure, the cork is violently blow out The frequency of the‘pop’caused by its ejection is ( V = 340m/s)

The vibrating of four air columns are represented in the figure The ratio of frequencies

is equal to –

substitution method of integration helps us reduce the integral to simpler terms.

A sound wave of wavelength 32cm enters the tube as shown in the figure Then the smallest radius ‘r’ so that a maximum of sound is heard at detector is

Two stereo speakers are separated by a distance of 2.4 m A person stands at a distance of 3.2 m as shown directly in front of one of the speakers The frequencies in audible range for which the listener will hear a minimum sound intensity are (Speed of the sound in air is 320 ms^-1 and n is order of minimum)

In the given arrangement, if hanging mass will be changed by 4%, then percentage change in the wave speed in string will be

A wave pulse on a string has the dimension at time is

A source S emitting sound of frequency 300Hz is fixed on block A which is attached to the free end of a spring S_A as shown in figure The dectector D fixed on block B attached to free end of spring S_B detects this sound The blocks A and B are simultaneously displaced towards each other through a distance of 1.0m and then left to vibrate The maximum and minimum frequencies of sound detected by D, if the vibrational frequency of each block is 2Hz are (Velocity of sound v = 340m/s)

The value of plate current in the given circuit diagram will be