R
TE
7
P
CHA
Gravitation
Kelper's Laws and Dynamics of Planetary Motion c. torque
d. gravitational constant
1. The kinetic energies of a planet in an elliptical orbit about the
Sun at positions A, B and C are KA, KB and KC respectively. 6. If R is the radius of the earth and g is the acceleration due
AC is the major axis and SB is perpendicular to AC at the to gravity on the earth surface. Then the mean density of the
position of the Sun S as shown in the figure. Then (2018) earth will be (2023-Manipur)
πRG 3πR 3g 4πG
a. b. c. d.
12g 4 gG 4πRG 3gR
7. A gravitational field is present in a region and a mass is
shifted from A to B through different paths as shown. If W1,
a. KB < KA < KC b. KA > KB > KC
W2 and W3 represent the work done by the gravitational force
c. KA < KB < KC d. KB > KA > KC along the respective paths, then: (2022 Re)
2. Kepler’s third law states that square of period of revolution 1
(T) of a planet around the sun, is proportional to third power
of average distance r between sun and planet, i.e., T2 = Kr3
2
here K is constant. If the masses of sun and planet are M
A B
and m respectively then as per Newton’s law of gravitation
GMm 3
force of attraction between them is F = here G
r2 a. W1 < W2 < W3 b. W1 = W2 = W3
is gravitational constant. The relation between G and K is c. W1 > W2 > W3 d. W1 > W3 > W2
described as: (2015)
8. If the mass of the Sun were ten times smaller and the universal
a. GMK = 4π2 b. K = G gravitational constant were ten times larger in magnitude,
c. K =
1
d. GM = 4π2 which of the following is not correct? (2018)
G a. Time period of a simple pendulum on the Earth would
3. A planet moving along an elliptical orbit is closest to the sun decrease
at a distance r1 and farthest away at a distance of r2. If v1 and b. Walking on the ground would become more difficult
v2 are the linear velocities at these points respectively, then c. Raindrops will fall faster
the ratio is (2011 Mains) d. ‘g’ on the Earth will not change
2 2
r r2 r r1
a. 1 b. c. 2 d.
r2 r1 r1 r2 Variation in g Due to Altitude, Depth
and other Factors
Newton’s Law of Gravitation
9. An object of mass 100 kg falls from point A to B as shown
& Acceleration Due to Gravity
in figure. The change in its weight, corrected to the nearest
1 integer is (RE is the radius of the earth) (2024 Re)
4. The mass of a planet is th that of the earth and its diameter
10 A
is half that of the earth. The acceleration due to gravity on
that planet is:(2024) RE
a. 4.9 m s–2 b. 3.92 m s–2 c. 19.6 m s–2 d. 9.8 m s–2 2 2RE
5. The mechanical quantity, which has dimensions reciprocal of B
mass (M–1) is: (2023-Manipur)
ground g = 10 m s–2
a. angular momentum
b. coefficient of thermal conductivity a. 49 N b. 89 N c. 5 N d. 10 N
TE
7
P
CHA
Gravitation
Kelper's Laws and Dynamics of Planetary Motion c. torque
d. gravitational constant
1. The kinetic energies of a planet in an elliptical orbit about the
Sun at positions A, B and C are KA, KB and KC respectively. 6. If R is the radius of the earth and g is the acceleration due
AC is the major axis and SB is perpendicular to AC at the to gravity on the earth surface. Then the mean density of the
position of the Sun S as shown in the figure. Then (2018) earth will be (2023-Manipur)
πRG 3πR 3g 4πG
a. b. c. d.
12g 4 gG 4πRG 3gR
7. A gravitational field is present in a region and a mass is
shifted from A to B through different paths as shown. If W1,
a. KB < KA < KC b. KA > KB > KC
W2 and W3 represent the work done by the gravitational force
c. KA < KB < KC d. KB > KA > KC along the respective paths, then: (2022 Re)
2. Kepler’s third law states that square of period of revolution 1
(T) of a planet around the sun, is proportional to third power
of average distance r between sun and planet, i.e., T2 = Kr3
2
here K is constant. If the masses of sun and planet are M
A B
and m respectively then as per Newton’s law of gravitation
GMm 3
force of attraction between them is F = here G
r2 a. W1 < W2 < W3 b. W1 = W2 = W3
is gravitational constant. The relation between G and K is c. W1 > W2 > W3 d. W1 > W3 > W2
described as: (2015)
8. If the mass of the Sun were ten times smaller and the universal
a. GMK = 4π2 b. K = G gravitational constant were ten times larger in magnitude,
c. K =
1
d. GM = 4π2 which of the following is not correct? (2018)
G a. Time period of a simple pendulum on the Earth would
3. A planet moving along an elliptical orbit is closest to the sun decrease
at a distance r1 and farthest away at a distance of r2. If v1 and b. Walking on the ground would become more difficult
v2 are the linear velocities at these points respectively, then c. Raindrops will fall faster
the ratio is (2011 Mains) d. ‘g’ on the Earth will not change
2 2
r r2 r r1
a. 1 b. c. 2 d.
r2 r1 r1 r2 Variation in g Due to Altitude, Depth
and other Factors
Newton’s Law of Gravitation
9. An object of mass 100 kg falls from point A to B as shown
& Acceleration Due to Gravity
in figure. The change in its weight, corrected to the nearest
1 integer is (RE is the radius of the earth) (2024 Re)
4. The mass of a planet is th that of the earth and its diameter
10 A
is half that of the earth. The acceleration due to gravity on
that planet is:(2024) RE
a. 4.9 m s–2 b. 3.92 m s–2 c. 19.6 m s–2 d. 9.8 m s–2 2 2RE
5. The mechanical quantity, which has dimensions reciprocal of B
mass (M–1) is: (2023-Manipur)
ground g = 10 m s–2
a. angular momentum
b. coefficient of thermal conductivity a. 49 N b. 89 N c. 5 N d. 10 N
