Home
Class 11
PHYSICS
A sitar wire is replaced by another wire...

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?

Text Solution

Verified by Experts

We have, `mu =(M)/(L) = (V rho )/( L ) = (AL rho )/( L ) = A rho`
`therefore mu = (pir ^(2) ) rho `
Now, we have, `f = (1)/(2L) sqrt ((T)/( mu))`
`therefore f = (1)/(2L) sqrt ((T)/( pi r ^(2) rho ))implies f prop (1)/( r )` `( because ` other factors are constants)
`therefore (f_(1))/( f _(2)) = (r _(2))/( r _(1)) = (3)/(1) (because r _(2) = 3r _(1))`
`therefore f_(2) = ((1)/(3)) f _(1)`
Promotional Banner

Topper's Solved these Questions

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-D (NCERT Exemplar Solution) (Short Answer Type Questions)|7 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-D (NCERT Exemplar Solution) (Long Answer Type Questions)|5 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-D (NCERT Exemplar Solution) (Multiple Choice Questions (More than one options)|7 Videos

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise Section -F (Questions from Module )|20 Videos

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION - D)|1 Videos

Similar Questions

Explore conceptually related problems

Two wires have the same length, same radius but one of them is made of copper and the other is made of iron. Which Will have more resistance?

The following four wires are made of the same material which of these will have the largest extension when the same tension is applied

Two sitar wires A and B producing the note "Dha" are slightly out of tune and produce 5 beats per second. When the tension in the wire B is slighly increased, the beat frequency decreases to 3 Hz. If frequency of A is 512 Hz, what should be original and final frequency of B ?

A wire of length I is cut into three pleces. What Is the probability that the three pieces form a triangle ?

For two wires of the same material and having the same length, the resistance of the thicker wire is less than that of the other wire ?

Two wires are made up of same material. Ratio of their masses is 1 : 2 and ratio of their lengths is 2 : 1 . So ratio of their resistances is.... .

Two wires of same diameter of the same material having the length l and 2l If the force F is applied on each, the ratio of the work done in two wires will be

The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:

An object of mass 5 kg is suspended by a copper wire of length 2 m and diameter 5 mm. Calculate the increase in the length of the wire. In order not to exceed the elastic limit, what should be the minimum diameter of the wire ? For copper, elastic limit =1.5 xx 10 ^(9) "dyne" //cm ^(2) , (Y) = 1.1 xx 10 ^(12) "dyne"//cm^(2).

A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force f its length increases by l. Another wire of the same material of length 2L and radius 2r is pulled by a force 2f. Then find the increase in length of this wire.