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Question: Which the following series fall in the visible range of electromagnetic spectrum?...

Which the following series fall in the visible range of electromagnetic spectrum?

A

Brackett series

B

Lyman series

C

Balmer series

D

Paschan series

Answer

Balmer series

Explanation

Solution

1λ\frac { 1 } { \lambda }= R [1nf21ni2]\left[ \frac { 1 } { \mathrm { n } _ { \mathrm { f } } ^ { 2 } } - \frac { 1 } { \mathrm { n } _ { \mathrm { i } } ^ { 2 } } \right]

Balmer Series; nf = 2; ni = 3, 4, 5.....

[1419]\left[ \frac { 1 } { 4 } - \frac { 1 } { 9 } \right]

[536]\left[ \frac { 5 } { 36 } \right]

λ = 365\frac { 36 } { 5 } × 1071.097\frac { 10 ^ { - 7 } } { 1.097 } m

λ = 6.56 × 10–7 m

λ=656×109 m\lambda = 656 \times 10 ^ { - 9 } \mathrm {~m}

This wavelength falls in visible range.