MHT CET · Physics · Thermal Properties of Matter
The temperature of a black body is increased by \(50 \%\), then the percentage increase in the rate of radiation by the body is approximated
- A \(50 \%\)
- B \(100 \%\)
- C \(400 \%\)
- D \(150 \%\)
Answer & Solution
Correct Answer
(C) \(400 \%\)
Step-by-step Solution
Detailed explanation
Rate of radiation \(\mathrm{R} \propto \mathrm{T}^4\)
\(
\begin{aligned}
& \therefore \frac{\mathrm{R}_2}{\mathrm{R}_1}=\left(\frac{\mathrm{T}_2}{\mathrm{~T}_1}\right)^4=(1.5)^4 \approx 5 \\
& \therefore \mathrm{R}_2=5 \mathrm{R}_1
\end{aligned}
\)
Percentage increase \(=\left(\frac{\mathrm{R}_2-\mathrm{R}_1}{\mathrm{R}_1}\right) \times 100=400 \%\)
\(
\begin{aligned}
& \therefore \frac{\mathrm{R}_2}{\mathrm{R}_1}=\left(\frac{\mathrm{T}_2}{\mathrm{~T}_1}\right)^4=(1.5)^4 \approx 5 \\
& \therefore \mathrm{R}_2=5 \mathrm{R}_1
\end{aligned}
\)
Percentage increase \(=\left(\frac{\mathrm{R}_2-\mathrm{R}_1}{\mathrm{R}_1}\right) \times 100=400 \%\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A long solenoid with 15 turns per \(\mathrm{cm}\) has a small loop of area \(2.0 \mathrm{~cm}^2\) placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 2.0 Ato \(4.0 \mathrm{~A}\) in \(0.1 \mathrm{~s}\), the induced emf in the loop while the current is changing is nearly [Take \(\pi=3.14\) ]MHT CET 2022 Hard
- According to Abbe, in the formula for resolving power of microscope, the
numerical aperture is represented byMHT CET 2020 Medium - In a circuit, the current lags behind the voltage by a phase difference of \(\pi / 2\), the circuit will contain which of the following ?MHT CET 2007 Medium
- The force acting on the electrons in hydrogen atom (Bohr's theory) is related to the principle quantum number 'n' asMHT CET 2020 Easy
- A drum of radius ' \(R\) ' full of liquid of density ' \(d\) ' is rotated at angular velocity ' \(\omega\) ' rad/s. The increase in pressure at the centre of the drum will beMHT CET 2024 Hard
- A lift is tied with thick iron ropes having mass ‘M’. The maximum acceleration of the lift is ‘a’ and maximum safe stress is ‘S’ . The minimum diameter of the rope isMHT CET 2019 Hard
More PYQs from MHT CET
- Which of the following is NOT obtained when a mixture of methyl bromide and ethyl bromide is treated with sodium metal in presence of dry ether?MHT CET 2024 Medium
- Gross calorific value and physiological value of proteins are and kcal/g respectively.MHT CET 2020 Hard
- Which among the following is an example of sorption?MHT CET 2022 Easy
- If \(\bar{a}, \bar{b}, \bar{c}, \bar{d}\) are the position vectors of the points \(A, B, C, D\) respectively such that
\(3 \bar{a}-\bar{b}+2 \bar{c}-4 \bar{d}=\overline{0}\), then the position vector of the point of intersection of the line
segments \(A C\) and \(B D\) isMHT CET 2020 Hard - Which one of the following acts as urinogenital organ in human males?MHT CET 2022 Medium
- Binding energy of a revolving satellite at height ' \(h\) ' is \(3.5 \times 10^8 \mathrm{~J}\). Its potential energy isMHT CET 2022 Medium