which of the following frequencies of light has the highest energy?\n○ 5.0 x 10^{14} s^{-1}\n○ 7.0 x 10^{13}…

Explanation:

Step1: Recall energy - frequency formula

The energy of a photon is given by $E = h\nu$, where $h$ is Planck's constant ($h=6.63\times 10^{-34}\ J\cdot s$) and $\nu$ is the frequency of the light. Since $h$ is a constant, the energy $E$ is directly proportional to the frequency $\nu$.

Step2: Compare the given frequencies

We have the following frequencies: $\nu_1 = 5.0\times 10^{14}\ s^{-1}$, $\nu_2=7.0\times 10^{13}\ s^{-1}$, $\nu_3 = 1.4\times 10^{15}\ s^{-1}$, $\nu_4=2.3\times 10^{14}\ s^{-1}$, $\nu_5 = 2.5\times 10^{10}\ s^{-1}$. Comparing the exponents of 10 in each frequency value:

• For $\nu_1$, the exponent is 14.
• For $\nu_2$, the exponent is 13.
• For $\nu_3$, the exponent is 15.
• For $\nu_4$, the exponent is 14.
• For $\nu_5$, the exponent is 10. Since $15>14 > 13>10$, the frequency $\nu_3 = 1.4\times 10^{15}\ s^{-1}$ is the highest.

Answer:

$1.4\times 10^{15}\ s^{-1}$