Solution: 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)

Problem

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)

Solution

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: 

$\boxed{\frac{1}{\lambda }=R\times \left(\frac{1}{2^2}-\frac{{\displaystyle 1}}{{\displaystyle m^2}}\right)}$

View Complete Written Solution

Next