The Sun emits a light with maximum wavelength 510 nm while another star x emits a light with maximum wavelength of 350 nm. What is the ratio of surface temperature of the Sun and the star x ?

Question

The Sun emits a light with maximum wavelength 510 nm while another star x emits a light with maximum wavelength of 350 nm. What is the ratio of surface temperature of the Sun and the star x ? (A) 1.45 (B) 0.68 (C) 0.46 (D) 2.1

Tardigrade Admin · Accepted Answer

From Wien displacement Law, λmT ≅ constant ∴ 510× Tsun=350× Tstar or (Tsun/Tstar)=(350/510)=0.68

Q. The Sun emits a light with maximum wavelength $510 nm$ while another star $x$ emits a light with maximum wavelength of $350 nm$ . What is the ratio of surface temperature of the Sun and the star $x$ ?

1.45

0.68

0.46

2.1

From Wien displacement Law,
$λ_{m} T ≅$ constant
$∴ 510 \times T_{s u n} = 350 \times T_{s t a r}$ or $\frac{T _{s u n}}{T _{s t a r}} = \frac{350}{510} = 0.68$

Q. The Sun emits a light with maximum wavelength 510nm while another star x emits a light with maximum wavelength of 350nm. What is the ratio of surface temperature of the Sun and the star x ?

1.45

0.68

0.46

2.1

From Wien displacement Law, λm​T≅ constant ∴510×Tsun​=350×Tstar​ or Tstar​Tsun​​=510350​=0.68

Q. The Sun emits a light with maximum wavelength $510 nm$ while another star $x$ emits a light with maximum wavelength of $350 nm$ . What is the ratio of surface temperature of the Sun and the star $x$ ?

From Wien displacement Law,
$λ_{m} T ≅$ constant
$∴ 510 \times T_{s u n} = 350 \times T_{s t a r}$ or $\frac{T _{s u n}}{T _{s t a r}} = \frac{350}{510} = 0.68$