A granite rod of 60 cm length is clamped...

A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is `2.7 xx10^(3) kg//m^(3)` and its Young’s modulus is `9.27 xx10^(10)` Pa. What will be the fundamental frequency of the longitudinal vibrations ?

7.5 kHz

5 kHz

2.5 kHz

10 kHz

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ELASTICITY AND THERMAL EXPANSION
MOTION|Exercise Exercise - 4 (Level-II)|11 Videos
ELASTICITY AND THERMAL EXPANSION
MOTION|Exercise Exercise - 3 (Level-II) (Section D - Thermal Expansion (Solid , Liquids & Gas) & types, Applications (Ex Bimetallic strip etc))|7 Videos
ELASTICITY
MOTION|Exercise EXERCISE -3|60 Videos
Electrical Instrument
MOTION|Exercise EXERCISE -3|16 Videos

Similar Questions

Explore conceptually related problems

An aluminium rod having a length 100 cm is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is 2600 kg//m^(3) and its Young's modulus is 7.8xx10^(10) N//m^(2) . The frequency of the sound produced is :-

If the density of copper is 8.9xx10^(3)kg//m^(3) , find its relative density.

A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod is given to be 2.53k Hz. What is the speed of sound in steel?

A steel rod 100 cm long is clamped at its midpoint. The fundamental frequency of longitudinal vibrtions of the rod is 3 kHz. What is the speed of the sound in the rod?

A metalrod of length 1.5 m is clamed at the centre. When it is set with longitudinal vibratons it emits a note of 1000 Hz. Determine the Young's modulus if the density of material = 8 xx 10^(3) kg/m^(3)

An aluminium rod having a length of 90.0 cm is clamped at its middle point and is set into longitudinal vibrations by stroking it with a rosined cloth. Assume that the rod vibrates in it sfundmental mode of vibration. The density of aluminiumis 2600 kgm^-3 and it s Young's modulus is 7.80xx10^10 Nm^-2 . Find a. the speed of sound in aluminium, b. the wavelength of sound waves produced in the rod. c. THefrequency of the sound produced and d.the wavelength of the sound produced in air. Take the speed of sound in air t be 340 ms^-1 .

MOTION-ELASTICITY AND THERMAL EXPANSION-Exercise - 4 (Level-I)

A wire suspended vertically from one of the its ends is stretched by a...
Text Solution
|
A wire fixed at the upper end stretches by length l by applying a forc...
Text Solution
|
If 'S' is stress and 'Y' is young's modulus of material of a wire, the...
Text Solution
|
A wire elongates by l mm when a load W is hanged from it. If the wire ...
Text Solution
|
Two wires are made of the same material and have the same volume. Howe...
Text Solution
|
A metal rod of Young's modulas Y and coefficient of thermal expansion ...
Text Solution
|
An aluminium sphere of 20cm diameter is heated from 0^(@)C to 100^(@)C...
Text Solution
|
A wooden wheel of radius R is made of two semicircular part . The two ...
Text Solution
|
A sonometer wire of length 1.5m is made of steel. The tension in it pr...
Text Solution
|
The pressure that has to be applied to the ends of a steel wire of len...
Text Solution
|
A pendulumd made of a uniform wire of cross sectional area (A) has tim...
Text Solution
|
A pendulum clock loses 12s a day if the temperature is 40^@C and gains...
Text Solution
|
A man grows into a giant such that his linear dimension increase by a ...
Text Solution
|
An external pressure P is applied on a cube at 0^(@)C so that it is eq...
Text Solution
|
A granite rod of 60 cm length is clamped at its middle point and is se...
Text Solution
|
A solid sphere of radius r made of a soft material of bulk modulus K i...
Text Solution
|