The length of a metal is `l_1`when the tension in it is `T_2` and is `l_2` when the tension is `T_2`. Find the original length of the wire.

The time period of a simple pendulum is 4.25. When its length is decreased by 1m its period is 3.75. Find the original length of the pendulum.

If the tension of the wire is increased four times and its length reduced to half the original length the frequency of vibration

When the altitude of the sun is 30^@ the length of the shadow of a minaret on the ground is 30m .When the altitude of the sun is 60^@ ,find the length of the shadow of the minaret.

The length between two bridges of a sonometer wire is L, tension is T and the fundamental frequency is N, if the length between the bridges and tension both are doubled, explain if there is any change in fundamental frequency.

The length of the edge of a cube is 1.2 cm. Find its volume.

A wire with mass per unit length 0.05 gcm^-1 is stretched between two rigid supports with tension of 4.5xx(10)^7 dynes.it is observed that the wire resonates at a frequency of 420 Hz.The next frequency at which the wire resonates is 492 Hz.Find the length of the wire.

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ? L is the length and D is the diameter.

Two tuning forks when sounded together give 4 beats per second.if one of them is in unison with 96 cm length of a monochord under constant tension and the other with 97 cm length of the same string,find the frequencies of the fork.

One end of a string of length l is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v the net force on the particle (directed towards the centre) is: (i)T,(II) T-(mv^2)//l, (iii) T+(MV^2)/l, (iv)0