ICSE Class 10 Physics 2014 Solved 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}

3 f

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

But

\;\; f ∝ \;{1}/{λ}

The ratio of wavelength of

P

and

R

i.e.,

λ_{ {\P}}: λ_{ {\R}}=1: 3 .

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