Three discs A, B and C having radii $$2m$$, $$4m$$, and $$6m$$ respectively are coated with carbon black on their other surfaces. The wavelengths corresponding to maximum intensity are $$300$$ run, $$400$$ nm and $$500$$ nm, respectively. The power radiated by them are Qa, Qb, and Qc, respectively,

Question

Infinity Learn · Accepted Answer

Radiated power $$P=Ae$$σ$$T4$$⇒P∝$$AT4$$ From Wein's law, λ$$mT=$$ constant ⇒T∝$$1$$λm∴     P∝Aλ$$m4$$∝$$r2$$λ$$m4$$⇒     QA:QB:$$QC=22(300)4$$:$$42(400)4$$:$$62(500)4$$∴QB will be maximum.

Three discs A, B and C having radii 2m, 4m, and 6m respectively are coated with carbon black on their other surfaces. The wavelengths corresponding to maximum intensity are 300 run, 400 nm and 500 nm, respectively. The power radiated by them are Q_a, Q_b, and Q_c, respectively,

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Three discs A, B and C having radii 2m, 4m, and 6m respectively are coated with carbon black on their other surfaces. The wavelengths corresponding to maximum intensity are 300 run, 400 nm and 500 nm, respectively. The power radiated by them are Qa, Qb, and Qc, respectively,

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Ready to Test Your Skills?

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Three discs A, B and C having radii 2m, 4m, and 6m respectively are coated with carbon black on their other surfaces. The wavelengths corresponding to maximum intensity are 300 run, 400 nm and 500 nm, respectively. The power radiated by them are Q_a, Q_b, and Q_c, respectively,