Question:medium

Calculate the frequency in Hz of orange colour light having wavelength 600 nm. [C = $3 \times 10^8$ ms$^{-1}$]

Show Hint

Always convert wavelength to meters (m) before using the speed of light in m/s.
Updated On: May 14, 2026
  • $5.4 \times 10^{14}$ Hz
  • $5.0 \times 10^{14}$ Hz
  • $5.8 \times 10^{14}$ Hz
  • $6.2 \times 10^{14}$ Hz
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Understanding the Question:
We need to find the frequency ($\nu$) given the wavelength ($\lambda$) and the speed of light ($c$).
Step 2: Key Formula or Approach:
The relation between frequency, wavelength, and speed of light is:
\[ \nu = \frac{c}{\lambda} \] Step 3: Detailed Explanation:
Given:
$c = 3 \times 10^8$ m/s
$\lambda = 600$ nm $= 600 \times 10^{-9}$ m $= 6 \times 10^{-7}$ m
Calculating frequency:
\[ \nu = \frac{3 \times 10^8}{6 \times 10^{-7}} \] \[ \nu = \frac{3}{6} \times 10^{8 - (-7)} \] \[ \nu = 0.5 \times 10^{15} \] \[ \nu = 5.0 \times 10^{14}\text{ Hz} \] Step 4: Final Answer:
The frequency is $5.0 \times 10^{14}$ Hz.
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