The maximum in the energy distribution spectrum of the sun is at wavelength 4753 AA and its temperature is 6050 K. What will be the temperature of the star (in K) whose energy distribution shows a maximum at wavelength 9506 AA ?

Question

The maximum in the energy distribution spectrum of the sun is at wavelength 4753 AA and its temperature is 6050 K. What will be the temperature of the star (in K) whose energy distribution shows a maximum at wavelength 9506 AA ? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

By Wein's displacement law, we use λm T= constant ⇒ λm1 T1=λm2 T2 ⇒ 4753 × 6050=9506 × T2 ⇒ T2=3025 K

Q. The maximum in the energy distribution spectrum of the sun is at wavelength $4753 \overset{˚}{A}$ and its temperature is $6050 K$ . What will be the temperature of the star (in $K$ ) whose energy distribution shows a maximum at wavelength $9506 \overset{˚}{A}$ ?

By Wein's displacement law, we use $λ_{m} T =$ constant
$\Rightarrow λ_{m_{1}} T_{1} = λ_{m_{2}} T_{2}$
$\Rightarrow 4753 \times 6050 = 9506 \times T_{2}$
$\Rightarrow T_{2} = 3025 K$

Q. The maximum in the energy distribution spectrum of the sun is at wavelength 4753A˚ and its temperature is 6050K. What will be the temperature of the star (in K) whose energy distribution shows a maximum at wavelength 9506A˚ ?

By Wein's displacement law, we use λm​T= constant ⇒λm1​​T1​=λm2​​T2​ ⇒4753×6050=9506×T2​ ⇒T2​=3025K

Q. The maximum in the energy distribution spectrum of the sun is at wavelength $4753 \overset{˚}{A}$ and its temperature is $6050 K$ . What will be the temperature of the star (in $K$ ) whose energy distribution shows a maximum at wavelength $9506 \overset{˚}{A}$ ?

By Wein's displacement law, we use $λ_{m} T =$ constant
$\Rightarrow λ_{m_{1}} T_{1} = λ_{m_{2}} T_{2}$
$\Rightarrow 4753 \times 6050 = 9506 \times T_{2}$
$\Rightarrow T_{2} = 3025 K$