A sonometer wire is vibrating in resonance with a tuning fork.Keeping the tension applied same,the length of the wire is doubled.Under what conditions would the tuning fork still be in resonance with the wire?

Is the tension in a string on either side of a pulley the same throughout its length ?if yes,under what condition?

An organ pipe of length L open at both ends is found to vibrate in its first harmonic when sounded with a tuning fork of 480 Hz. What should be the length of a pipe closed at one end,so that it also vibrates in its first harmonic with the same tuning fork?

A wire of resistance 1 Omega is stretched to double its length. What is the new resistance?

A sitar wire is replaced by another wire of same length and material but of three times the earlier radius.If the tension in the wire remains the same,by what factor will the frequency change?

A wire of resistances 1 Omega is streched to double its length. What is the new resiatnce?

A wire of length 25 cm is to be cut into two pieces. One of the pieces is to be made into a square and other into a circle. What would be the length of the two pieces so that the combined area of the square and the circle is minimum ?

Two wires are made of the same metal .The length of teh first wire is half that of the second wire and its diameter is double that of the second wire.If equal loads are applied on both wires,find the ratio of increase in their lengths.