Question

# 1. The energy of the electron in the lowest level of the hydrogen atom (n=1) is...

1. The energy of the electron in the lowest level of the hydrogen atom (n=1) is -2.179×10-18 J. What is the energy of the electron in level n=5? -8.716×10-20 J 2.The electron in a hydrogen atom moves from level n=6 to level n=4.

a) Is a photon emitted or absorbed?

b) What is the wavelength of the photon?

Energy of an electron in nth orbital is given by,

E= -(2.179x10-18)/n2 Joules

, therefore, we can write as, = therefore,

E5 = (-2.179x10-18)(12/52)

E5 = -8.176x10-20

a) as the electron energy is directly proportional to the square of the orbit number,

when the electron moves from n=6 to n=4,

its energy decreases, so it must have emitted a photon so that the energy will decrease.

b) E6-E4 = (E1/n62) - (E1/n42) (From above equations)

hence,

E6-E4 = 7.5659 x 10-20 Joules

now this energy difference will be equal to (hc/ )

where h = Planck's constant

c = velocity of light = wavelength of photon = hc / change in energy

=((6.634x10-34)x(3x108))/7.5659 x 10-20

=2.63x10-6 m

#### Earn Coins

Coins can be redeemed for fabulous gifts.