Answer:
a) ν = 2.7 x 10¹³ s⁻¹
b) λ= 5.7 x 10⁻⁷ m
c) Neither will be visible
d) d= 13,500 m
Explanation:
The relationship ν = c/λ where
ν = frequency of the radiation
c = speed of light = 3 x 10^8 m/s
λ = wavelength of the radiation
will be used to solve parts a), b) and c).
For part d. we know that all electromagnetic radiation travel at the speed of light so d= speed x time
a) ν = 3 x 10^8 m/s / 11 x 10 ⁻⁶ m ( 1 μm = 10⁻6 m )
= 2.7 x 10¹³ s⁻¹
b) λ= c/ν = 3 x 10^8 m/s / 5.30 x 10¹⁴ s⁻¹ = 5.7 x 10⁻⁷ m
c) The visible spectrum range is 380 to 470 nm
in a. converting to nm:
11 x 10⁻⁶ m x 10⁹ nm/m = 11,000 nm
in b. converting to nm:
5.7 x 10⁻⁷ m x 10⁹ nm/ m = 570 nm
Neither of these radiations will be visible to the human eye.
d) d= 3 x 10^8 m/s x 45 x 10⁻⁶ s = 13,500 m