Question

The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by relation of the type f = cm^x k^y ,where c is a dimensional constant. The value of x and y are-

• A. 1/2, ½
• B. – 1/2, – ½
• C. 1/2, – ½
• D. – 1/2, ½

Answer 1

Answer: (D)

– 1/2, ½

Answer 2

[M⁰L⁰T^–1] = [M¹]^x [M¹L⁰T^–2]^y

Solving, we get

x = –1/2, y = –1/2