1)

The values of Planck's constant is 6.63 x 1034 Js. The velocity of light is 3.0 x 108 m s-1. Which value is closest to the wavelength in nanometres of a quantum of light with a frequency of 8 x 1015 s-1?


A) $5\times10^{-18}$

B) $4\times10^{1}$

C) $3\times10^{7}$

D) $2\times10^{-25}$

Answer:

Option B

Explanation:

E = hν = $\frac{Ch}{\lambda};and\upsilon = \frac{c}{\lambda}$

8×1015 = $\frac{3.0\times10^{8}}{\lambda}$ 

$\therefore\lambda=\frac{3.0\times10^{8}}{8\times10^{15}}=0.37\times10^{-7}$

=37.5x10-9 m = 4 x 101 nm