Question

the highest directly measured frequency is 5.20 x 10^14 Hz, corresponding to one of the transitions in iodine-127. How many wavelengths of electromagnetic waves with this frequency could fit across a dot on a book page? Assume the dot is 2.00 x 10^-4m in diameter.

Answer 1

λ = 5.7 X 10⁻⁷m

On using quantum dot, it is 351

Explanation:

Given-

Frequency, f = 5.20 x 10^14 Hz

Speed of light, c = 3 X 10⁸ m/s

Wavelength, λ = ?

We know,

λ f = c

λ = c / f

λ = $\frac{3 X 10^8}{5.2 X 10^1^4}$

λ = 5.7 X 10⁻⁷m

Dot = 2 X 10⁻⁴

So,

2 X 10⁻⁴ / 5.7 X 10⁻⁷m = 351