What is the kinetic energy acquired by the electron in hydrogen atom, if it absorbs a light radiation of energy 1.08x101 j. (a) 2.18x10 (b) 7.84*10j (c) 8.62x10 j (d) 5.34x10 3 answer a

Explanation:

The given data is as follows.

            Energy of radiation absorbed by the electron in hydrogen atom =

As energy is absorbed as a photon. Hence, frequency will be calculated will be as follows.

                                    E =

                =

                =

or,                 =    

It is known that,        

                    =

And, according to De-Broglie equation

as,        p =

So,          

                             =

Now, on squaring both the sides we get the following.

            =    

                              =  

where,   m = mass of electron

So,          

                             =

                                   = J

Since,  K.E =

                 =

                 =

Thus, we can conclude that kinetic energy acquired by the electron in hydrogen atom is .