Question:
Binary stars \(m_A, m_B\) move in circular orbits. Compare their time periods.
Binary stars \(m_A, m_B\) move in circular orbits. Compare their time periods.
Show Hint
Binary system $\Rightarrow$ same angular velocity $\Rightarrow$ same time period.
Updated On: Apr 23, 2026
- \(\frac{T_A}{T_B} = \left(\frac{r_A}{r_B}\right)^{3/2}\)
- \(T_A>T_B\) if \(r_A>r_B\)
- \(T_A>T_B\) if \(m_A>m_B\)
- \(T_A = T_B\)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
Binary stars revolve about common centre of mass.
\[
T = 2\pi\sqrt{\frac{r^3}{G(m_A + m_B)}}
\]
Step 1: Same system
Both stars share same angular velocity. \[ \omega_A = \omega_B \Rightarrow T_A = T_B \] Conclusion: \[ T_A = T_B \]
Step 1: Same system
Both stars share same angular velocity. \[ \omega_A = \omega_B \Rightarrow T_A = T_B \] Conclusion: \[ T_A = T_B \]
Was this answer helpful?
0
0
Top MET Physics Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- A rope of mass $0.1\, kg$ is connected at the same height of two opposite walls. It is allowed to hang under its own weight. At [he contact point between the rope and the wall, the rope makes an angle $ \theta =10^{\circ} $ with respect to horizontal. The tension in the rope at its midpoint between the walls is
- At great distances from an electric dipole, the electric field strength due to the dipole varies with the distance as
View More Questions
Top MET Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- $\int\limits_{0}^{8}| x -5| d x$ is equal to
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- Which of the following product is formed in the reaction $ CH_3MgBr {->[(i)CO_2][(ii)H_2O]} ? $
View More Questions