Kepler’s Law of Planetary Motion NEET Questions

Physics - Gravitation
Kepler’s Law of Planetary Motion

Kepler’s Law of Planetary Motion MCQ Questions


13.
The area swept by the Earth-Sun radius vector in one month (January) is _____ the area swept in one month (July).
A.
Less than
B.
Greater than
C.
Equal to
D.
Cannot be determined
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ANSWER :
C. Equal to
14.
The area SBAC bounded by the ellipse and radius vectors SB and SC is compared to area SBPC. Which is larger and what does it imply?
A.
SBPC > SBAC; planet takes longer to traverse CPB
B.
SBAC > SBPC; planet takes longer to traverse BAC than CPB
C.
SBAC = SBPC; equal time for both arcs
D.
Cannot be determined from the figure
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ANSWER :
B. SBAC > SBPC; planet takes longer to traverse BAC than CPB
15.
Kepler's Third Law (Law of Periods) states that:
A.
T² ∝ a (time period is proportional to semi-major axis)
B.
T ∝ a³ (time period is proportional to cube of semi-major axis)
C.
T² ∝ a³ (square of time period is proportional to cube of semi-major axis)
D.
T³ ∝ a² (cube of time period is proportional to square of semi-major axis)
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ANSWER :
C. T² ∝ a³ (square of time period is proportional to cube of semi-major axis)
16.
For circular orbits, the mathematical expression for Kepler's Third Law derived from Newton's gravitation is:
A.
T² = (4π²/GM_s)·R³
B.
T² = (2π/GM_s)·R²
C.
T = (4π²/GM_s)·R³
D.
T² = (GM_s/4π²)·R³
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ANSWER :
A. T² = (4π²/GM_s)·R³
17.
According to Kepler's third law, the value of T²/a³ for all planets around the Sun is approximately:
A.
Different for each planet (confirms orbits are different)
B.
Same for all planets ≈ 2.97×10⁻³⁴ y²·m⁻³ (confirms Kepler's Third Law)
C.
Increases with distance from Sun
D.
Equal to G times the mass of the planet
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ANSWER :
B. Same for all planets ≈ 2.97×10⁻³⁴ y²·m⁻³ (confirms Kepler's Third Law)
18.
If the time period of Earth around the Sun is T_E and that of Mars is T_M, and their orbital radii are R_E and R_M respectively, then T_M/T_E equals:
A.
(R_M/R_E)²
B.
(R_M/R_E)^(3/2)
C.
(R_M/R_E)^(2/3)
D.
(R_M/R_E)³
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ANSWER :
B. (R_M/R_E)^(3/2)
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