State the ratio of wavelengths of P and R .

ICSE Class 10 Physics 2014 Paper

The adjacent diagram shows three different modes of vibrations $P, Q$ and $R$ of the same string.

Question : 43 of 66

Marks: +1, -0

State the ratio of wavelengths of

P

and

R

Solution:

Let frequency of vibration

R

f

. Then the frequency of vibration

P

3f

\therefore \;\; f_{R}=f \;\text{ and }\; f_p=3f

But

\;\; f \propto \; \frac{1}{\lambda}

The ratio of wavelength of

P

and

R

i.e.,

\lambda_{P}:\lambda_{R}=1:3.

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