Question #f486d

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Answer 1 · 2016-01-31T11:38:50

#9/5#

we know,
the equation of wavelength of spectrum is,

#1/lambda=R_H(1/n_1^2-1/n_2^2)#

#or, lambda=(n_1n_2)/(n_2^2-n_1^2)#

for the first line of pashchen series the equation becomes,

#lambda_1=(1*3)/(3^2-1^2)#

#=3/(9-1)#

#=3/8#

for the first line of pfund series the equation becomes,

#lambda_2=(1*5)/(5^2-1^2)#

#=5/(25-1)#

#=5/24#

so,

#lambda_1/lambda_2=(3/8)/(5/24)=3/8xx24/5=9/5#