Quiz for Kepler’s laws

Q1: Which of the following is not a correct statement of Kepler’s laws?

A. All planets move in circular orbits B. Equal areas are swept in equal times C. Orbit of a planet is an ellipse D. Time period square is proportional to cube of radius

Q2: Kepler’s second law is based on conservation of which physical quantity?

A. Energy B. Momentum C. Angular momentum D. Mass

Q3: Which law relates the time period of a planet to its orbital radius?

A. First law B. Second law C. Third law D. None of these

Q4: According to Kepler’s first law, the path of a planet around the sun is?

A. Circular B. Parabolic C. Elliptical D. Straight line

Q5: The planet sweeps equal areas in equal time. This means:

A. Speed is constant B. Angular velocity is constant C. Areal velocity is constant D. Linear momentum is constant

Q6: If T is the time period and R is the radius, Kepler’s third law gives:

A. T² ∝ R B. T² ∝ R² C. T² ∝ R³ D. T ∝ R²

Q7: The square of the orbital period of a planet is proportional to:

A. Radius B. Mass of planet C. Square of radius D. Cube of radius

Q8: The constant areal velocity of a planet implies:

A. Central force B. Non-central force C. Uniform speed D. Zero torque

Q9: What is the shape of orbit of Halley’s comet?

A. Circular B. Elliptical C. Hyperbolic D. Rectilinear

Q10: Which quantity remains constant according to second law?

A. Force B. Angular momentum C. Linear momentum D. Acceleration

Q11: Kepler’s third law is valid for:

A. Satellites only B. Planets only C. Any object under gravity D. All of these

Q12: If time period of Earth is 1 year, then time period of Mars (if its radius is 1.5 times Earth’s) is:

A. 1.5 years B. √1.5 years C. √(1.5)³ years D. (1.5)^(3/2) years

Q13: Which of the following remains constant in elliptical orbit?

A. Speed B. Acceleration C. Areal velocity D. Distance from sun

Q14: Planet’s velocity is maximum when:

A. It is at aphelion B. It is at perihelion C. It is at midpoint D. It is stationary

Q15: Which law helps in finding the mass of the Sun?

A. Newton’s second law B. Kepler’s third law C. Kepler’s second law D. None

Q16: In Kepler’s third law, constant of proportionality depends on:

A. Mass of planet B. Mass of sun C. Distance between stars D. None

Q17: In Kepler’s first law, what occupies one of the foci of the ellipse?

A. Planet B. Comet C. Sun D. Earth

Q18: If T is time period and R is radius, log(T) vs log(R) graph is:

A. Straight line, slope 2 B. Straight line, slope 3 C. Straight line, slope 1.5 D. Parabola

Q19: Kepler’s second law indicates that when a planet is closer to the Sun:

A. It moves slower B. It moves faster C. It moves in straight line D. None of these

Q20: Which of the following is a consequence of central force?

A. Areal velocity is zero B. Areal velocity is variable C. Areal velocity is constant D. Angular displacement is zero