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Energy of an electron is givem by E = - ...

Energy of an electron is givem by `E = - 2.178 xx 10^-18 J ((Z^2)/(n^2))`. Wavelength of light required to excited an electron in an hydrogen atom from level `n = 1` to `n = 2` will be
`(h = 6.62 xx 10^-34 Js` and `c = 3.0 xx 10^8 ms^-1`).

A

`1.214 xx 10^(-7)` m

B

`2.816 xx 10^(-7)` m

C

`6.5 xx 10^(-7)` m

D

`8.5 xx 10^(-7)` m

Text Solution

Verified by Experts

The correct Answer is:
A

`Delta E = (hc)/(lambda)= 2.178 xx 10^(-18) ((1)/(n_1^2)- (1)/(n_2^2))`
`(6.6256 xx 10^(-34) xx 3 xx 10^(8) )/(lambda) = 2.178xx 10^(-18) ((1)/(1^2)-(1)/(2^2))`
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Energy of an electron is given by E = - 2.178 xx 10^-18 J ((Z^2)/(n^2)) . Wavelength of light required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be (h = 6.62 xx 10^-34 Js and c = 3.0 xx 10^8 ms^-1 ).

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