On observing light from three different stars | vedclass

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

Question

(A) According to $Wien's$ displacement law, the product of the wavelength corresponding to maximum intensity $(\lambda_m)$ and the absolute temperatur

Vedclass · Accepted Answer

$T_P > T_R > T_Q$

Vedclass · Answer

(A) According to $Wien's$ displacement law, the product of the wavelength corresponding to maximum intensity $(\lambda_m)$ and the absolute temperature $(T)$ is constant:$\lambda_m T = 	ext{constant} \implies T \propto \frac{1}{\lambda_m}$For star $P$, the intensity of violet colour is maximum. Since violet has the shortest wavelength among the three $(\lambda_V For star $R$, the intensity of green colour is maximum. Green light has a wavelength between violet and red $(\lambda_V For star $Q$, the intensity of red colour is maximum. Since red has the longest wavelength among the three, star $Q$ must have the lowest temperature.Comparing the wavelengths: $\lambda_V Therefore, the temperatures follow the inverse order: $T_P > T_R > T_Q$.

Similar Questions

Which of the following is the $\nu_m - T$ graph for a perfectly black body? ($\nu_m$ = maximum frequency of radiation,$T$ = absolute temperature)

Ordinary bodies $A$ and $B$ radiate maximum energy at wavelengths differing by $4 \mu m$. The absolute temperature of body $A$ is $3$ times that of body $B$. The wavelength at which body $B$ radiates maximum energy is: (in $\mu m$)

Assume that for solar radiation,the surface temperature of the Sun is $6000 \,K$. If Wien's constant '$b$' is $2.897 \times 10^{-3} \,m-K$,the value of the maximum wavelength will be: (in $Å$)

The emissive power of a sphere of area $0.04 \,m^2$ is $0.7 \,kcal \,s^{-1} \,m^{-2}$. The amount of heat radiated in $20 \,s$ is: (in $\,kcal$)

$A$ black body has a maximum wavelength $\lambda_{m}$ at a temperature of $2200 \ K$. Its corresponding wavelength at a temperature of $3300 \ K$ will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module