Establish by dimensional analysis that `v= sqrt(T/m)` where v is the velocuty of wave along the stretched wire.T is tension applied and m is mass per unit length of the wire.

An expression of physical quantity is written as (X = sqrtfrac(t)(m) where T is the applied force and m is the mass per unit length. Find the dimensional representation of X and identify the physical quantity. (X = sqrtfrac(T)(m) .

An expression of physical quantity is written as X = sqrtfrac(T)(M) , where T is the applied force and m is the mass per unit length. Find the dimensional representation of X and identify. The physical quantity. ( X = sqrtfrac(T)(m) .

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.

Establish the relation T = 2pi sqrt1//g for the time period of a simple pendulum with the help of dimensional analysis.

Check whether equation F.S. = 1/2 mv^2 -1/2 m u^2 is dimensionally correct, where m is mass of the body, v its final velocity, u its initial velocity, F is force applied and S is the distance moved.

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 resistance of a 10m long wire is 10 Omega . Its length is increased by 25% by stretching. The resistance of the wire is now

A battery of e.m.f 2V and internal resistance 1Omega is used to send a current through a potentiometer wire of length 200cm and resistance 4Omega . What length of the wire will be required to balance a cell of e.m.f 1.08V?

A potentiometer wire AB has a length 0.5, and resistacne 0.5Omega . AS shown in the diagram, it is connected with a cell of e.m.f 3V and a combination of resistance R=S=5Omega . Fin the potential dropt per unti length of the wire.