Question

you are given the frequency (v) of a photon below. calculate its energy. (1 point)
2.61 x 10^7 hz
3.93 x 10^-19 j
1.73 x 10^-26 j
17.3 x 10^-26 j

Explanation:

Step1: Recall the formula for photon energy

The energy of a photon is given by \(E = h
u\), where \(h = 6.626\times10^{-34}\space J\cdot s\) (Planck's constant) and \(
u\) is the frequency of the photon.

Step2: Substitute the given values into the formula

We have \(
u=2.61\times 10^{7}\space Hz\) and \(h = 6.626\times10^{-34}\space J\cdot s\).
So, \(E=(6.626\times 10^{-34}\space J\cdot s)\times(2.61\times 10^{7}\space Hz)\)
Using the rule of exponents \(a^m\times a^n=a^{m + n}\), we get \(E=(6.626\times2.61)\times10^{-34 + 7}\space J\)
\(6.626\times2.61 = 17.3\) (approximate value) and \(-34+7=-27\)
So \(E = 17.3\times10^{-27}\space J=1.73\times 10^{-26}\space J\)

Answer:

\(1.73\times 10^{-26}\space J\) (the second option)