Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
About $20 \%$ of the power of a $100 \mathrm{~W}$ bulb is converted to visible radiation. Assuming that the radiations is emitted isotropically and neglecting reflection, the average intensity of visible radiation at a distance of $5 \mathrm{~m}$ is $\frac{\alpha}{25 \pi} \mathrm{W} / \mathrm{m}^2$. The value of $\alpha$ is
PhysicsDual Nature of MatterTS EAMCETTS EAMCET 2022 (19 Jul Shift 1)
Options:
  • A 15
  • B 5
  • C 37.5
  • D 30
Solution:
1329 Upvotes Verified Answer
The correct answer is: 5
Power, $\mathrm{P}=\frac{100 \times 20}{100}=20 \mathrm{~W}$
The average intensity of visible radiation at a distance
$$
\begin{aligned}
& 5(I)=\frac{P}{4 \pi r^2}=\frac{20}{4 \pi \times(5)^2} \\
& (I)=\frac{5}{25 \pi} \\
& \alpha=5
\end{aligned}
$$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.