Home
Class 12
PHYSICS
A system of binary stars of mass m(A) an...

A system of binary stars of mass `m_(A)` and `m_(B)` are moving in circular orbits of radii `r_(A)` and `r_(B)` respectively. If `T_(A)` and `T_(B)` are at the time periods of masses `m_(A)` and `m_(B)` respectively then

A

if `T_(A)gtT_(B)` then `R_(A)gtR_(B)`

B

if `T_(A)gtT_(B)` then `M_(A)gtM_(B)`

C

`((T_(A))/(T_(B)))^(2)=((R_(A))/(R_(B)))^(3)`

D

`T_(A)=T_(B)`

Text Solution

Verified by Experts

The correct Answer is:
D

Figure shows a binary star system:
The gravitaional force of attraction between the stars will provide the necessary centripetal forces. In this case angular velocity of both stars is the same. Therefore time period remains the same.
`(omega=(2pi)/(T))`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    ALLEN |Exercise Illustration|34 Videos

  • GRAVITATION

    ALLEN |Exercise BOX-1|3 Videos

  • GRAVITATION

    ALLEN |Exercise Exercise 5 A (Previous Year Questions)|26 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise subjective|14 Videos

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos

Similar Questions

Explore conceptually related problems

Two cars of masses m_(1) and m_(2) are moving in circles of raddii r_(1) and r_(2) respectively. Their speeds are such that they make complete circle in the same time t The ratio of their centripetal acceleration is .

Two satellites of masses of m_(1) and m_(2)(m_(1)gtm_(2)) are revolving round the earth in circular orbits of radius r_(1) and r_(2)(r_(1)gtr_(2)) respectively. Which of the following statements is true regarding their speeds v_(1) and v_(2) ?

Two particle A and B start moving due to their mutual interaction only. If at any tiem 't', vec(a)_(A) and vec(a)_(B) are their respective accelerations, vec(v)_(A) and vec(v)_(B) are their respective velocities, and upto that time W_(A) and W_(B) are the work done on A and B respectively by the mutual force, m_(A) and m_(B) are their masses respectively, then which of the following is alwys correct.

Four containers are filled with monoatomic ideal gases. For each container , the number of moles , the mass of an individual atom and the rms speed of the atoms are expressed in terms of n , m and v_("rms") respectively . If T_(A) , T_(B) , T_(C) and T_(D) are their temperatures respectively then which one of the options correctly represents the order ?

Two satellite A and B , ratio of masses 3 : 1 are in circular orbits of radii r and 4 r . Then ratio of total mechanical energy of A to B is

Two satellite A and B go around a planet in circular orbits having radii 4R and R respectively. If the speed of satellite A is 3v, the speed of satellite B would be ..........

For the double star system, the two stars having masses m_(1) and m_(2) are separated b a distance r . They are revolgin about their common centre of mass in radii r_(1) and r_(2) respectively. Which of the following is/are incorrect.?

If two bodies of mass M and m are revolving around the centre of mass of the system in circular orbits of radii R and r respectively due to mutual interaction. Which of the following formulee is applicable ?

A satellite of mass m goes round the earth along a circular path of radius r. Let m_(E) be the mass of the earth and R_(E) its radius then the linear speed of the satellite depends on.

A satellite of mass M_(S) is orbitting the earth in a circular orbit of radius R_(S) . It starts losing energy slowly at a constant rate C due to friction if M_(e) and R_(e) denote the mass and radius of the earth respectively show that the satellite falls on the earth in a limit time t given by t=(GM_(S)M_(e))/(2C)((1)/(R_(e))-(1)/(R_(S)))