(A) According to Wien's displacement law,$\lambda_m T = \text{constant}$.Therefore,$\lambda_m T = \lambda_m' T'$.Given $\lambda_m = 20,000 \ \mathring

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(A) According to Wien's displacement law,$\lambda_m T = \text{constant}$.Therefore,$\lambda_m T = \lambda_m' T'$.Given $\lambda_m = 20,000 \ \mathring{A}$,$T = 1500 \ K$,and $\lambda_m' = 5500 \ \mathring{A}$.Substituting the values,we get $T' = \frac{\lambda_m}{\lambda_m'} \times T$.$T' = \frac{20,000 \ \mathring{A}}{5500 \ \mathring{A}} \times 1500 \ K$.$T' = \frac{200}{55} \times 1500 \ K = \frac{40}{11} \times 1500 \ K \approx 5454.54 \ K$.Rounding to the nearest integer,the temperature is $5454 \ K$.

Class 11 Physics 10-2.Heat Transfer Spectral Emissive Power and Wien's Displacement Law

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$A$ body at $1500 \ K$ emits maximum energy at a wavelength $20,000 \ \mathring{A}$. If the Sun emits maximum energy at a wavelength $5500 \ \mathring{A}$,then the temperature of the Sun is ....... $K$.

A
$5454$
B
$4454$
C
$4550$
D
$5400$

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10-2.Heat Transfer

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Spectral Emissive Power and Wien's Displacement Law

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$A$ body at $1500 \ K$ emits maximum energy at a wavelength $20,000 \ \mathring{A}$. If the Sun emits maximum energy at a wavelength $5500 \ \mathring{A}$,then the temperature of the Sun is ....... $K$.

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