2022 Medium
Single Choice
Marks: 4.00 / −1.00
The energy of a photon with frequency \( \nu \) is given by \( E = h\nu \). If \( h = 6.626 \times 10^{-34}\,\text{J·s} \) and \( \nu = 5 \times 10^{14}\,\text{Hz} \), find \( E \) in joules (approximately):
- A. \( 3.31 \times 10^{-19}\,\text{J} \)
- B. \( 6.63 \times 10^{-19}\,\text{J} \)
- C. \( 1.32 \times 10^{-19}\,\text{J} \)
- D. \( 1.66 \times 10^{-20}\,\text{J} \)
Correct Option:
- A. \( 3.31 \times 10^{-19}\,\text{J} \) ✓ Correct
- B. \( 6.63 \times 10^{-19}\,\text{J} \)
- C. \( 1.32 \times 10^{-19}\,\text{J} \)
- D. \( 1.66 \times 10^{-20}\,\text{J} \)
Hint: Multiply \( h \times \nu \) directly.
Solution:
\( E = 6.626 \times 10^{-34} \times 5 \times 10^{14} \approx 3.31 \times 10^{-19}\,\text{J} \)
photon
planck
atomic-structure