What is the kinetic energy acquired by the electron in hydrogen atom, if it absorbs a light radiation of energy 1.08x10^1-7 j (a) 2.18x10- (b) 7.84x10- (c) 8.62x10-13 (d) 5.34x10-5

Answer : The kinetic energy acquired by the electron in hydrogen atom is

Explanation :

First we have to calculate the wavelength.

Formula used :

where,

E = energy =

h = Planck's constant =

c = speed of light =

= wavelength = ?

Now put all the given values in the above formula, we get:

Now we have to determine the kinetic energy acquired by the electron in hydrogen atom.

According to de-Broglie, the expression for wavelength is,

and,

where,  

p = momentum, m = mass, v = velocity

So, the formula will be:

or,

    ............(1)

The formula of kinetic energy is:

     ..........(2)

Now put the equation 1 in 2, we get:

        ............(3)

where,

m = mass of electron =

Now put all the given values in the formula 3, we get:

Therefore, the kinetic energy acquired by the electron in hydrogen atom is