Ask Question
20 May, 13:29

Two metal rods are made of different elements. The interatomic spring stiffness of element A is 7 times larger than the interatomic spring stiffness for element B. The mass of an atom of element A is 7 times greater than the mass of an atom of element B. The atomic diameters are approximately the same for A and B. What is the ratio of the speed of sound in rod A to the speed of sound in rod B?

A) The ratio of the speed of sound in rod A to the speed of sound in rod B is 0.5.

B) The ratio of the speed of sound in rod A to the speed of sound in rod B is 1.

C) The ratio of the speed of sound in rod A to the speed of sound in rod B is 2.

D) The ratio of the speed of sound in rod A to the speed of sound in rod B is 6.

+2
Answers (1)
  1. 20 May, 13:43
    0
    B) The ratio of the speed of sound in rod A to the speed of sound in rod B is 1.

    Explanation:

    Applying Hooke's law,

    F = - kx

    Where,

    F = force

    k = spring stiffness

    x = length

    Element A

    F/7k = x

    Since, mass = F/A

    Ma = 7Mb

    Therefore,

    7Mb/A*7kb = x

    Mb/A*k = x

    Element B

    F/k = x

    Since, mass = F/A

    Mb = Mb

    Therefore,

    Mb/A*kb = x

    Ratio of mass of element A and element B

    Mb/A*kb : Mb/A*kb

    1 : 1
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Two metal rods are made of different elements. The interatomic spring stiffness of element A is 7 times larger than the interatomic spring ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers