JEE MAIN - Physics (2021 - 26th August Morning Shift - No. 10)
A particular hydrogen like ion emits radiation of frequency 2.92 $$\times$$ 1015 Hz when it makes transition from n = 3 to n = 1. The frequency in Hz of radiation emitted in transition from n = 2 to n = 1 will be :
0.44 $$\times$$ 1015
6.57 $$\times$$ 1015
4.38 $$\times$$ 1015
2.46 $$\times$$ 1015
Explanation
$$n{f_1} = k\left( {{1 \over 1} - {1 \over {{3^2}}}} \right)$$
$$n{f_2} = k\left( {1 - {1 \over {{2^2}}}} \right)$$
$${{{f_1}} \over {{f_2}}} = {{8/9} \over {3/4}} \Rightarrow {f_2} = 2.46 \times {10^{15}}$$
$$n{f_2} = k\left( {1 - {1 \over {{2^2}}}} \right)$$
$${{{f_1}} \over {{f_2}}} = {{8/9} \over {3/4}} \Rightarrow {f_2} = 2.46 \times {10^{15}}$$
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