QuestionJuly 27, 2025

A quantum of radiatior has an energy of 2.0 keV. What is its frequency? (h=6.63x 10^-34Jcdot s and 1eV=1.60times 10^-19J) 1) 3.2times 10^17Hz 2) 4.8times 10^17Hz 3) 6.3times 10^17Hz 4) 7.3times 10^17Hz 5) 8.5times 10^17Hz

A quantum of radiatior has an energy of 2.0 keV. What is its frequency? (h=6.63x 10^-34Jcdot s and 1eV=1.60times 10^-19J) 1) 3.2times 10^17Hz 2) 4.8times 10^17Hz 3) 6.3times 10^17Hz 4) 7.3times 10^17Hz 5) 8.5times 10^17Hz
A quantum of radiatior has an energy of 2.0 keV. What is its frequency? (h=6.63x
10^-34Jcdot s and 1eV=1.60times 10^-19J)
1) 3.2times 10^17Hz
2) 4.8times 10^17Hz
3) 6.3times 10^17Hz
4) 7.3times 10^17Hz
5) 8.5times 10^17Hz

Solution
4.2(270 votes)

Answer

\( 4.8 \times 10^{17} \mathrm{~Hz} \) Explanation 1. Convert energy from keV to Joules Energy in keV is 2.0 keV. Convert to Joules: E = 2.0 \times 10^3 \, \text{eV} \times 1.60 \times 10^{-19} \, \text{J/eV} = 3.2 \times 10^{-16} \, \text{J}. 2. Calculate frequency using Planck's formula Use the formula E = h \cdot f to find frequency: f = \frac{E}{h} = \frac{3.2 \times 10^{-16} \, \text{J}}{6.63 \times 10^{-34} \, \text{J} \cdot \text{s}} = 4.8 \times 10^{17} \, \text{Hz}.

Explanation

1. Convert energy from keV to Joules<br /> Energy in keV is 2.0 keV. Convert to Joules: $E = 2.0 \times 10^3 \, \text{eV} \times 1.60 \times 10^{-19} \, \text{J/eV} = 3.2 \times 10^{-16} \, \text{J}$.<br />2. Calculate frequency using Planck's formula<br /> Use the formula $E = h \cdot f$ to find frequency: $f = \frac{E}{h} = \frac{3.2 \times 10^{-16} \, \text{J}}{6.63 \times 10^{-34} \, \text{J} \cdot \text{s}} = 4.8 \times 10^{17} \, \text{Hz}$.
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