Answer
Verified
422.7k+ views
Hint: red star or white star both are stars but the primary difference is due to the temperatures. The colour of a star depends on its surface temperature and indirectly on their size.
Complete step by step answer:We are given a red star and a white star. Stars differ in colour varying from orange to white and blue. Colour is caused by the temperature of the surface of the star. Our Sun falls in the category of a yellow star.
White stars are very big, more powerful than our sun.
Red stars have higher temperatures than white stars.
Now, from Stefan-Boltzmann law, the total radiant heat power emitted from a surface is proportional to the fourth power of its absolute temperature.
\[\begin{align}
& P\alpha {{T}^{4}} \\
& E=A{{T}^{4}} \\
\end{align}\]
Where A is the area of the star. Now given in the question that the red star and a white star radiate energy at the same rate, if the rates are the same there would be a temperature change.
A red star would be half the temperature of the white star so it would need to have a radius 4 times the white star to emit the energy at the same rate. Hence, the red star would be bigger than the white star, and the correct option would be (A).
Note:Blue and green stars are normally giant young stars which are very active and they do not live for very long and they die young usually in a massive explosion called a SuperNova
Complete step by step answer:We are given a red star and a white star. Stars differ in colour varying from orange to white and blue. Colour is caused by the temperature of the surface of the star. Our Sun falls in the category of a yellow star.
White stars are very big, more powerful than our sun.
Red stars have higher temperatures than white stars.
Now, from Stefan-Boltzmann law, the total radiant heat power emitted from a surface is proportional to the fourth power of its absolute temperature.
\[\begin{align}
& P\alpha {{T}^{4}} \\
& E=A{{T}^{4}} \\
\end{align}\]
Where A is the area of the star. Now given in the question that the red star and a white star radiate energy at the same rate, if the rates are the same there would be a temperature change.
A red star would be half the temperature of the white star so it would need to have a radius 4 times the white star to emit the energy at the same rate. Hence, the red star would be bigger than the white star, and the correct option would be (A).
Note:Blue and green stars are normally giant young stars which are very active and they do not live for very long and they die young usually in a massive explosion called a SuperNova
Recently Updated Pages
What are the figures of speech in the poem Wind class 11 english CBSE
Write down 5 differences between Ntype and Ptype s class 11 physics CBSE
Two tankers contain 850 litres and 680 litres of petrol class 10 maths CBSE
What happens when eggshell is added to nitric acid class 12 chemistry CBSE
Why was Kamaraj called as Kingmaker class 10 social studies CBSE
What makes elections in India democratic class 11 social science CBSE
Trending doubts
What is 1 divided by 0 class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
When did the NonCooperation Movement begin A August class 8 social science CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Who was the Congress President at the time when India class 9 social science CBSE