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Introduction

Three stars A...

Question

Three stars A, B, C have surface temperatures $T_{A}$ , $T_{B}$ and $T_{C}$ . A appears bluish, B appears reddish and C appears yellowish. We can conclude that:

A

T_{A} > T_{C} > T_{B}

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B

T_{A} > T_{B} > T_{C}

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C

T_{B} > T_{C} > T_{A}

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D

T_{C} > T_{B} > T_{A}

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Solution

The correct option is C $T_{A} > T_{C} > T_{B}$
According to Wien's Displacement law we know that:-
$λ = \frac{b}{T} \dots \dots (1)$ .

Given that three stars $A, B$ and $C$ where $A$ appears bluish, $B$ appears reddish and $C$ appears yellowish.

We know that $λ_{b l u e} < λ_{y e l l o w} < λ_{R e d}$
$⟹ λ_{A} < λ_{C} < λ_{B} . . . . . (2)$

from (1) and (2) we get
$⟹ T_{A} > T_{C} > T_{B}$

Hence option $(A)$ is correct

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