Chemistry Practice Problems Bohr and Balmer Equations Practice Problems Solution: 1/λ = R ((1/22)—(1/m2))If m=1, in what range are t...

# Solution: 1/λ = R ((1/22)—(1/m2))If m=1, in what range are the wavelengths calculated from the generalized formula shown above?R= 1.097*107 m-1a) 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 10-8 m)e) X rays (10-8 to 10-13 m)

###### Problem

1/λ = R ((1/22)—(1/m2))

If m=1, in what range are the wavelengths calculated from the generalized formula shown above?

R= 1.097*107 m-1

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 10-8 m)
e) X rays (10-8 to 10-13 m)

###### Solution

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

$\overline{)\frac{1}{\lambda }{=}{R}{×}\left(\frac{1}{{2}^{2}}-\frac{1}{{m}^{2}}\right)}$

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