Problem: 1/λ = R ((1/22)—(1/m2))R= 1.097*107 m-1If m=3, in what range are wavelengths calculated from the generalized formula shown above?a) microwave (1 to 10-4 m)b) infrared (10-3 to 7*10-7 m)c) visible (7*10-7 to 4*10-7 m)d) ultraviolet (4*10-7 to 10-8m)e) X rays (10-8 to 10-13 m)

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We're asked to determine the range for the resulting wavelength if m = 3 and R = 1.097 x 107m-1 using the given generalized formula: 


1λ=R×122-1m2


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Problem Details

1/λ = R ((1/22)—(1/m2))

R= 1.097*107 m-1

If m=3, in what range are wavelengths calculated from the generalized formula shown above?

a) microwave (1 to 10-4 m)
b) infrared (10-3 to 7*10-7 m)
c) visible (7*10-7 to 4*10-7 m)
d) ultraviolet (4*10-7 to 10-8m)
e) X rays (10-8 to 10-13 m)

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