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)`
A
`7xx10^(10)N//m^(2)`
B
`7.2xx10^(10)N//m^(2)`
C
`0.7xx10^(10)N//m^(2)`
D
`6.8xx10^(10)N//m^(2)`
Text Solution
Verified by Experts
The correct Answer is:
B
Topper's Solved these Questions
SOUND WAVES
BITSAT GUIDE|Exercise BITSAT Archives|1 Videos
SOLVED PAPER 2018
BITSAT GUIDE|Exercise Part-I (Physics)|40 Videos
UNIVERSE
BITSAT GUIDE|Exercise All Questions|30 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 :-
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 ?
A steel rod 2.5 m long is rigidly clamped at its centre C and longitudinal waves are set up on both sides of C by rubbing along the rod . Young's modulus for steel = 2 xx 10^(11) N//m^(2) , density of steel = 8000 kg//m^(3) If the clamp of the rod be shifted to its end A and totally four antinodes are observed in the rod when longitudinal waves are set up in it , the frequency of vibration of the rod in this mode is
A steel rod 2.5 m long is rigidly clamped at its centre C and longitudinal waves are set up on both sides of C by rubbing along the rod . Young's modulus for steel = 2 xx 10^(11) N//m^(2) , density of steel = 8000 kg//m^(3) If the amplitude of the wave at the antinode , when it is vibrating in its fundamental mode is 2 xx 10^(-6) m , the maximum velocity of a steel particle in its vibration is
A steel rod 2.5 m long is rigidly clamped at its centre C and longitudinal waves are set up on both sides of C by rubbing along the rod . Young's modulus for steel = 2 xx 10^(11) N//m^(2) , density of steel = 8000 kg//m^(3) If two antinodes are observed on either side of C , the frequency of the node in which the rod is vibrating will be
A sonometer wire of length 1 m is stretched by a weight of 10 kg. The fundamental frequency of vibration is 100 Hz. Determine the linear density of material of wire.
A rubber rope of length 8 m is hung from the ceiling of a room. What is the increases in length of the rope due to its own weight? (Given, Young's modulus of elasticity of rubber = 5 xx 10^(6) Nm^(-2) and density of rubber = 1.5 xx 10^(6) kg m^(-3) and g = 10 ms^(-2) )
A brass rod (density 8.3 g//cm^(3)) , 3m long is clamped at the centre. It is excited to give longitudinal vibrations and the frequency of the fundamental note is 600Hz. Calculate the velocity of sound in the rod and its Young's modulus.
A rubber rope of length 8 m is hung from the ceiling of a room. What is the increase in length of rope due to its own weight? (Given: Young's modulus of elasticity of rubber = 5 xx 10^(6) N//m and density of rubber =1.5xx10^(3)kg//m^(3) . Take g=10ms^(-12))
