Question

The higher the frequency, ______ the wavelength of a light. (a) Shorter (b) Longer (c) Unaffected (d) Variable​

Answer 1

shorter the wavelength of a light .

Answer 2

The higher the frequency, SHORTER the wavelength of a light.

BUT WHY?

• First of all, let's know the relation between velocity, frequency and wavelength of light waves.

$\boxed{ \sf v = \lambda \times f}$

• $\lambda$ is wavelength and f is frequency.

Now, in a particular medium, velocity of light is constant. For example in vacuum , it is 3 × 10⁸ m/s.

So, now we can say:

$\sf \implies \lambda \times f = constant$

$\sf \implies \lambda \propto \dfrac{1}{f }$

So, higher the frequency, smaller the wavelength and vice-versa !