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1 Spherical astronomy a sin α c2 b c = sin β sin γ = a2 + b2 − 2ab cos γ. = 3 Telescopes Law of sines and cosines (+ cyclic change) Resolution ability: α = 1.22λ/D. Magnification of the …Full description
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th
5 National Astronomy Olympiad, Bangladesh.
Full Marks: 100
6.67× 10 Gravitational Constant, G = 6.67× Mass of Earth ( Mass of Moon (
) = 5.97 5.977 7 × 10 ) = 0.01227
Stef Stefan an Bol Boltz tzma mann nn Con Const stan ant, t,
5.67× 10 = 5.67×
3.086 × 10 1 PC (Parsec) = 3.086 Diameter of Earth = 12756 km Distance between Earth and Moon = 384000 km Wien’s Law, λ
= 0.00289/ T
Geostationary ry satellites satellites normally normally have 1. (i) (Marks 5) Geostationa
orbits. orbits.
(a) (a) Equa Equato tori rial al (b) Pol Polar (c) (c) Eith Either er A or or B (d) (d) Neit Neithe herr A nor nor B (ii) (Marks 5) The 2.7K radiation coming from all direction is
(a) At one frequency frequency in in the Microwave Microwave Range (b) A range of frequenci frequencies es like that that given off by a black black body body (Marks ks 5) 5) A roc rocke kett expe expels ls gas gases es at at the the rate rate of of 200 200 kg/se kg/sec, c, at at a vel veloci ocity ty of 1500 1500 2. (Mar
. Find Find the the
thrust exerted by the rocket. 3. (Marks 15) Use Law of conservation of Angular Momentum to prove Kepler’s Second Law.
distance of a Geostationary Satellite from the surface of Earth. 4. (Marks 10) Derive the distance the equator, find the maximum latitude from 5. (Marks 5) Given a satellite is 5000 km above the which the satellite is just visible. visible. (Hint: Use right angle triangle) Derive the Escape Escape Velocity Velocity ( 6. (Marks 10) Derive
) of a body, body, so as to escape escape the the surface surface of Earth. Earth.
7. (Marks 5) Why is it preferred to launch satellites from close to the equator?
pulse every 1 millisecond. Find the Density of the Pulsar, 8. (Marks 10) Given a Pulsar emitting a pulse so that the surface matter does not fly off into space. 9. ( Marks 10) Given the strongest emitted wavelength ( λ
= 5 × 10
m), Find the surface
temperature of the Sun. (Hint: Wien’s Displacement Law) 10. (Marks 10) Given Hubble ’s constant, H = 71 km/s per mega parsec. Calculate the age of
Universe. 11. (Marks 10) Find the Distance of Observable Universe from the Earth.
