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Thermal Properties Of Matter

Question

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The power radiated by a black body is P and it radiates maximum energy at wavelength, λ₀. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $\frac{3}{4} λ_{0}$ , the power radiated by it becomes nP. The value of n is

3/4

4/3

81/256

256/81

Solution

256/81

Apply Wien's law

$λ_{m a x} T = c o n s \tan t i . e ., {λ_{m a x}}_{1} T_{1} = {λ_{m a x}}_{2} T_{2} \Rightarrow λ_{0} T = \frac{3 λ_{0}}{4} T' \Rightarrow T' = \frac{4}{3} T P o w e r r a d i a t e d P \propto T^{4} S o, \frac{P_{2}}{P_{1}} = n = {(\frac{T'}{T})}^{4} = {(\frac{4}{3})}^{4} = \frac{256}{81}$

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Thermal Properties Of Matter

The power radiated by a black body is P and it radiates maximum energy at wavelength, λ₀. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $\frac{3}{4} λ_{0}$ , the power radiated by it becomes nP. The value of n is

3/4

4/3

81/256

256/81

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A radiation of energy E falls normally on a perfectly reflecting surface. The momentum transferred to the surface is

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For Daily Free Study Material Join wiredfaculty

Thermal Properties Of Matter

The power radiated by a black body is P and it radiates maximum energy at wavelength, λ0. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength 34λ0, the power radiated by it becomes nP. The value of n is 3/4 4/3 81/256 256/81

Some More Questions From Thermal Properties of Matter Chapter

A radiation of energy E falls normally on a perfectly reflecting surface. The momentum transferred to the surface is

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The power radiated by a black body is P and it radiates maximum energy at wavelength, λ₀. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $\frac{3}{4} λ_{0}$ , the power radiated by it becomes nP. The value of n is

3/4

4/3

81/256

256/81