Search any question & find its solution
Question:
Answered & Verified by Expert
A black body has a wavelength of $\lambda$ at temperature 2000 K . Its corresponding wavelength at temperature 3000 K will be
Options:
Solution:
2095 Upvotes
Verified Answer
The correct answer is:
$\frac{2 \lambda}{3}$
According to Wien's displacement law,
$\begin{aligned} & \lambda_m T=\text { constant } \\ & \text { or } \quad \frac{\lambda_2}{\lambda_1}=\frac{T_1}{T_2} \\ & \therefore \quad \frac{\lambda_2}{\lambda}=\frac{2000}{3000}=\frac{2}{3} \\ & \text { or } \quad \lambda_2=\frac{2}{3} \lambda \\ & \end{aligned}$
$\begin{aligned} & \lambda_m T=\text { constant } \\ & \text { or } \quad \frac{\lambda_2}{\lambda_1}=\frac{T_1}{T_2} \\ & \therefore \quad \frac{\lambda_2}{\lambda}=\frac{2000}{3000}=\frac{2}{3} \\ & \text { or } \quad \lambda_2=\frac{2}{3} \lambda \\ & \end{aligned}$
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.