Calculate the wavelength for the higest transition in the Balmer series of atomic hydrogen.

Explanation

We are given that `n _(1) = 2 , n _(2) = oo`
We are to find the wavelength for the lengest iransition . We know that
` vec v = R _(H) [ (1)/( n _(1) ^(2)) - (1)/( n _(2) ^(2)) ] = 109677 [ (1)/(4) - (1)/(oo) ] `
` = 109677 [ (1)/(4) - 0] = 10 96 77 xx (1)/(4) = 274 19 cm ^(-1)`
`vec v = 2. 74 19 xx 10 ^(4) cm ^(-1) = 2. 74 xx 10 ^(5) m ^(-1).`