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Question

Physics Question on Atoms

Balmer series lies in the visible region of electromagnetic spectrum. 1?=R[1221n2],\frac {1}{?}=R \bigg [\frac {1}{2^2}- \frac {1}{n^2} \bigg ], where n=3,4,5n=3,4,5

A

Both assertion and reason are true and reason is the correct explanation of assertion

B

Both assertion and reason are true but reason is not the correct explanation of assertion

C

Assertion is true but reason is false

D

Both assertion and reason are false

Answer

Both assertion and reason are true and reason is the correct explanation of assertion

Explanation

Solution

The wavelength in Balmer series is given by 1?=R[1221n2],n=3,4,5,....\frac {1}{?}=R \bigg [\frac {1}{2^2}- \frac {1}{n^2} \bigg ], \, n=3,4,5,.... 1?max=R[122132]\frac {1}{?_{max}}=R\bigg [\frac {1}{2^2}- \frac {1}{3^2} \bigg ] 1?max=365R=365×1.097×107=6563A˚\frac {1}{?_{max}}=\frac {36}{5R}= \frac {36}{5 \times 1.097 \times 10^7}=6563 \mathring {A} and 1?min=R[1221??2] \frac {1}{?_{min}}=R \bigg [\frac {1}{2^2}- \frac {1}{??2}\bigg ] ?min=4R=41.097×107=3646A˚?_{min}= \frac {4}{R}= \frac {4}{1.097 \times 10^7}=3646 \mathring {A} The wavelength 6563A˚and3646A˚6563 \, \mathring {A} \, and \, 3646 \, \mathring {A} lie in visible region. Therefore, Balmer series lies in visible region.