b) Calculate the ratio of the surface temperatures of the stars A and B from the following data:
| Star | Absolute magnitude | Redius (Re) |
| A | 2 | 62 |
| B | 6 | 4 |
To calculate the ratio of the surface temperatures of stars A and B, we use the Stefan-Boltzmann Law, which states: \[ L = 4\pi R^2 \sigma T^4 \] where: - \( L \) is the luminosity of the star, - \( R \) is the radius of the star, - \( T \) is the surface temperature of the ______ _________ ___ ________ __________ _______ ____ _______ ___.
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c) What is cosmic background radiation? Explain why it is so important to the debate between evolving and a steady-state universe.
a) Describe Hubble’s Classification scheme for galaxies.
a) The distance of planet Jupiter from the Sun is 5 AU. Express this distance in light year and parsec.
d) Which telescope, optical or X-ray, would have higher resolving power for the same aperture? Calculate the magnitude of the faintest object that a 15 m optical telescope can detect.
e) The local time at Chennai is 9 p.m. Calculate the local time at Mumbai at that time.
a) Derive Jeans criteria for the stability of a gas cloud. A collapsing cloud is made only of neutral hydrogen (H1). If the temperature of the cloud is 50 K and its number
density is calculate its Jeans mass.
c) Derive an expression for the tidal force for the earth-moon system and show that its magnitude depends on the latitude. Explain tidal bulge on the basis of this expression.