Question

The frequency of violet light is 7.5 x 1014 Hz. Find its

Wavelength in (i) (nm) (ii) A° if speed of light 3x 108 ms-1.​

Answer 1

Given:

The frequency of violet light is 7.5 x 10¹⁴ Hz.

To find:

Wavelength in

• nm
• A°

Calculation:

• Let wavelength be $\lambda$.

$\therefore \lambda = \dfrac{v}{f}$

$\implies \lambda = \dfrac{3 \times {10}^{8} }{7.5 \times {10}^{14} }$

$\implies \lambda = 0.4 \times {10}^{ - 6} \: m$

$\implies \lambda = 400\times {10}^{ - 9} \: m$

$\boxed{\implies \lambda = 400 \: nm}$

$\boxed{\implies \lambda = 4000 \: {A}^{ \circ} }$

So, the wavelength is 400 nm and 4000 A°.