Question

1.

Answer 1

Explanation:

1.

Given parameters:

Frequency of the radiation  = 8.4 x 10¹⁴Hz

Unknown:

Energy of the wave  = ?

Solution:

The energy of a wave is given by the expression below;

    E  = hf

E is the energy

h is the Planck's constant = 6.63 x 10⁻³⁴m²kg/s

f is the frequency

 Now insert the parameters and solve;

 E  =  6.63 x 10⁻³⁴m²kg/s x 8.4 x 10¹⁴Hz

 E  = 5.57 x 10¹ x 10⁻²⁰J

 E  = 5.57 x 10⁻¹⁹J

   

2.

Given parameters:

Wavelength = 2.13 x 10⁻¹³m

Unknown:

Frequency of the wave = ?

Solution:

The frequency of a wave can be determined using the expression;

     C  = f∧

C is the speed of light = 3 x 10⁸m/s

f  is the frequency

∧ is the wavelength

      f  = $\frac{C}{wavelength}$   = $\frac{3 x 10^{8} }{2.13 x 10^{-13} }$   = 1.41 x 10²¹hz