Question

5. The frequency of vibrations of a mass m suspended from a spring of spring cons, (a) 3
- kis given by a relation of this type f = CmK”; where C is a dimensionless quantity
The value of x and y are
Spring
Constant​

Answer 1

Explanation:

Given relation

f = cmxky

where f = Frequency of vibration

       m = Mass suspended from a spring

        k = Spring constant

        c = Dimensionless quantity 

By putting the dimensions of each quantity on both the sides, we get

[T−1 ] = [M]x [MT−2 ] y

 

On comparing the dimensions of quantities on both sides, we get

x + y = 0 and 2y = 1

 

→ y = 1/2

 

and x = −1/2

Answer 2

See the attachment mate

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