Question:
A double star system consists of two stars A and B which have time periods $T_ A $ and $T_B $ . Radius $ R_A $ and $ R_B $ and mass $ M_A $ and $M_B $ . Choose the correct option
A double star system consists of two stars A and B which have time periods $T_ A $ and $T_B $ . Radius $ R_A $ and $ R_B $ and mass $ M_A $ and $M_B $ . Choose the correct option
Updated On: Jun 14, 2022
- if $T_A > T_B$ then $R_A >R_B $
- if $T_A > T_B$ then $M_A >M_B $
- $\bigg( \frac{T_A}{T_B} \bigg)^2 = \bigg( \frac{R_A}{R_B} \bigg)^3 $
- $T_A =T_B $
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The Correct Option is D
Solution and Explanation
In case of binary star system angular velocity and hence the time period of both the stars are equal.
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Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
Newton’s Law of Gravitation
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].