Question

The relation between frequency (n) and wavelength ($\lambda$) is given by (v is velocity, n is frequency and T is time-period)

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

Answer 1

The correct option is A $v=n\lambda$

We know that $T=\frac{1}{n}$

where $T=$ Time period & $n=$ frequency

Also, Speed$=$Distance/Time taken

Speed of wave is its velocity $v$ & Distance of wave is its wavelength $\lambda$

$\therefore$ Substituting these into the equation.

$\to v=\frac{\lambda }{T}=\lambda n$

$\therefore$ Option (A) is the correct answer.