MHT CET · Physics · Thermal Properties of Matter
Two spherical black bodies of radius ' \(\mathrm{r}_{1}\) ' and ' \(\mathrm{r}_{2}\) ' with surface temperature ' \(\mathrm{T}_{1}\) ' and
\({ }^{\prime} \mathrm{T}_{2}\) ' respectively, radiate same power, then \(\mathrm{r}_{1}: \mathrm{r}_{2}\) is
- A \(\left(\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}\right)^{2}\)
- B \(\left(\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}\right)^{4}\)
- C \(\left(\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}\right)^{2}\)
- D \(\left(\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}\right)^{4}\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}\right)^{2}\)
Step-by-step Solution
Detailed explanation
(A)
\(4 \pi r_{1}^{2} T_{1}^{4}=4 \pi r_{2}^{2} T_{2}^{4}\)
\(\frac{r_{1}^{2}}{r_{2}^{2}}=\frac{T_{2}^{4}}{T_{1}^{4}}\)
\(\frac{r_{1}}{r_{2}}=\frac{T_{2}^{2}}{T_{1}^{2}}\)
\(4 \pi r_{1}^{2} T_{1}^{4}=4 \pi r_{2}^{2} T_{2}^{4}\)
\(\frac{r_{1}^{2}}{r_{2}^{2}}=\frac{T_{2}^{4}}{T_{1}^{4}}\)
\(\frac{r_{1}}{r_{2}}=\frac{T_{2}^{2}}{T_{1}^{2}}\)
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
- If the potential difference across a capacitor is increased from \(5 \mathrm{~V}\) to \(15 \mathrm{~V}\), then the ratio of final energy to initial energy stored in the capacitor isMHT CET 2021 Easy
- In an intrinsic semiconductor, at an ordinary temperature, the correct relation
between the number of electrons 'ne' and number of holes 'nn' isMHT CET 2020 Easy - The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (i) second to first energy level and (ii) highest energy level to second energy level isMHT CET 2021 Hard
- In biprism experiment, the wavelength \(\lambda\) is used to obtain an interference pattern. Then fringe width is \(\mathrm{W}_1\) at distance \(\mathrm{D}_1\) from the screen when the screen is moved towards biprism, fringe width becomes \(\mathrm{W}_2\) at distance \(\mathrm{D}_2\) The distance between two virtual images of the slit isMHT CET 2022 Medium
- The radius of hydrogen a tomin its ground state is \(5.3 \times 10^{-11} \mathrm{~m}\). After collision with an electron
it is found to have a radius of \(21.2 \times 10^{-11} \mathrm{~m}\).
What is the prindpal quantum number \(n\) of the final state of atom?MHT CET 2009 Medium - An object executes SHM along \(x\)-axis with amplitude \(0.06 \mathrm{~m}\). At certain distance ' \(x\) ' metre from mean position, it has kinetic energy \(10 \mathrm{~J}\) and potential energy \(8 \mathrm{~J}\). The distance ' \(\mathrm{x}\) ' will beMHT CET 2021 Medium
More PYQs from MHT CET
- The value of \(\int_{0}^{\pi} x \sin ^{3} x d x\) isMHT CET 2008 Medium
- Which of the following is a nucleophile?MHT CET 2010 Easy
- Unit cell of an element has edge length of \(5 Å\) with density \(4 \mathrm{~g} \mathrm{~cm}^{-3}\), if its atomic mass is 149 , identify the crystal structure.MHT CET 2024 Easy
- Let the curve be represented by \(x=2(\cos \mathrm{t}+\mathrm{t} \sin \mathrm{t}), y=2(\sin \mathrm{t}-\mathrm{t} \cos \mathrm{t})\). Then normal at any point ' \(t\) ' of the curve is at a distance of _____________ units from the origin.MHT CET 2023 Medium
- Which from following molecules has highest bond dissociation enthalph?MHT CET 2022 Easy
- Which of the following is NOT dihydric alcohol?MHT CET 2025 Easy