The intensity of radiation emitted by the sun | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) According to Wien's displacement law,the product of the wavelength corresponding to maximum intensity $(\lambda_{\max})$ and the absolute temperat

Vedclass · Accepted Answer

$0.69$

Vedclass · Answer

(B) According to Wien's displacement law,the product of the wavelength corresponding to maximum intensity $(\lambda_{\max})$ and the absolute temperature $(T)$ of a black body is constant.$\lambda_{\max} T = b$ (constant)Therefore,$T \propto \frac{1}{\lambda_{\max}}$.Let $T_S$ and $\lambda_S$ be the temperature and wavelength of the sun,and $T_N$ and $\lambda_N$ be the temperature and wavelength of the north star.$\frac{T_S}{T_N} = \frac{(\lambda_N)_{\max}}{(\lambda_S)_{\max}}$Given $(\lambda_S)_{\max} = 510 \ nm$ and $(\lambda_N)_{\max} = 350 \ nm$.$\frac{T_S}{T_N} = \frac{350}{510} = \frac{35}{51} \approx 0.686 \approx 0.69$.

The intensity of radiation emitted by the sun has its maximum value at a wavelength of $510 \ nm$ and that emitted by the north star has the maximum value at $350 \ nm$. If these stars behave like black bodies,then the ratio of the surface temperature of the sun and north star is

Similar Questions

$A$ small conducting sphere of radius $r$ is lying concentrically inside a bigger hollow conducting sphere of radius $R$. The bigger and smaller spheres are charged with $Q$ and $q$ $(Q > q)$ respectively and are insulated from each other. The potential difference between the spheres will be

If $f: R \rightarrow R$ and $g: R \rightarrow R$ are defined by $f(x)=|x|$ and $g(x)=[x-3]$ for $x \in R$,then $\{g(f(x)):-\frac{8}{5} < x < \frac{8}{5}\}$ is equal to

If the distance between the foci of an ellipse is $6$ and the length of the minor axis is $8$,then the eccentricity is

The magnetic field at the centre of a circular current-carrying conductor of radius $r$ is $B_c$. The magnetic field on its axis at a distance $r$ from the centre is $B_a$. The value of $B_c : B_a$ will be:

If the slope of one of the pair of lines represented by $2x^2 + 3xy + Ky^2 = 0$ is $2$,then the angle between the pair of lines is

Vedclass Test Series

Exam Paper Generator

Online Exam Module