Question

The relation between wavelength($\lambda$), frequency(f) and wave velocity(v) is-

• A. $v=\frac{\lambda }{f}$
• B. $v={\lambda }^{2}f$
• C. $v={\lambda }^{}f$
• D. $f=\frac{\lambda }{v}$

Answer 1

The correct option is C

$v={\lambda }^{}f$

1. If the wave velocity is v, frequency is f, and wavelength is λ.
2. The definition of wavelength is the distance traveled by the wave in one time period i.e T.
3. Wavelength = wave velocity$\times$ Time period i.e. λ=$v\times T$.
4. As $f=\frac{1}{T}$
5. $v=\frac{\lambda }{T}$
6. $v={\lambda }^{}f$

Hence, option (C) is correct.