Poll Results
No votes. Be the first one to vote.
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?
Wavelength is the distance between two consecutive peaks or troughs of a wave. It is commonly used to describe electromagnetic waves like light and radio waves. Wavelength is inversely related to frequency, meaning shorter wavelengths have higher frequencies and vice versa. It is measured in meters (m).
Share
To determine the ratio of the surface temperatures of the Sun and star X, we use Wien’s displacement law:
λₘₐₓ * T = b
where:
– λₘₐₓ is the wavelength at which the emission is maximum,
– T is the temperature of the body,
– b is Wien’s constant (b = 2.898 × 10⁻³ m K).
Thus, from this law, the temperature of each star can be derived as follows:
T = b / λₘₐₓ
For the Sun:
Tₛᵤₙ = (2.898 × 10⁻³) / (510 × 10⁻⁹) = 5688 K
For star X:
Tₓ= (2.898 × 10⁻³) / (350 × 10⁻⁹) = 8271 K
Now, the ratio of the surface temperatures is :
Tₛᵤₙ / Tₓ = 5688 / 8271 ≈ 0.688
Hence, the correct answer is: 0.68
Click here:
https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-10/