Question

If 9.9ev energy is supplied to h atom , the no. of spectral line emitted is equal to

Answer 1

Answer: The number of spectral line emitted is equal to zero.

Explanation:

Given that,

Supplied energy = 9.9 eV

We know that,

$E_{n} = \dfrac{-13.6 eV}{n^{2}}$...(I)

If energy supplied is 9.9 eV then,

$E_{n} = -13.6\ eV + 9.9\ eV$

$E_{n} = -3.7 eV$

Now, put the value of $E_{n}$ in equation (I)

$n^{2} = 3.67$

$n = 1.9$

We have 1 < n < 2, so we can say that, the electron does not absorb enough energy to get the second energy level.

Hence, the number of spectral line emitted is equal to zero.