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11th Physics Monthly Test - 2 ( Gravitation )

MABS Institution

11th Physics Monthly Test - 2 ( Gravitation )-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

The magnitude of the Sun’s gravitational field as experienced by Earth is

same over the year
decreases in the month of January and increases in the month of July
decreases in the month of July and increases in the month of January
increases during day time and decreases during night time

What is the intensity of gravitational field at the center of spherical shell?

\(\frac{Gm}{r^2}\)
g
zero
None of these

The work done by Sun on Earth in one year will be

zero
non-zero
positive
negative

A piece of wood is taken deep inside a long column of water & released it will move up.

with a constant upward acceleration
with decreasing upward acceleration
with a deceleration
there will be uniform velocity

A body of mass m falls from earth's surface at a height equal to twice the radius (R) each. Then the change in P.E of body will be

2 mgR
\(\frac { 2 }{ 3 } \) mgR
3 mgR
\(\frac { 1 }{ 3 } \) mgR

A particle falls towards earth from infinity. It's velocity reaching the Earth would be _________

Cinfinity
\(\sqrt{2gR}\)
\(2\sqrt{gR}\)
Zero

A liquid can easily change its shape but a solid can not because

the density of a liquid is smaller than that of a solid
the forces between the molecules is stronger in solid than in liquids
the atoms combine to form bigger molecules in a solid
the average separation between the molecules is larger in solids

Three bodies of each of mass 2 kg are situated on x-axis at distance 1m, 2m, 4m from origin. The resolving gravitational potential due to the system at the origin will be

2G
\(\frac { 8 }{ 3 } \)G
\(\frac { 4 }{ 3 } \)G
\(\frac { 7 }{ 2 } \)G

Energy required to move a body of mass 'M' from an orbit of radius 2R to 3R is =_________

\(\frac{GM}{12R}\)
\(\frac{GMm}{3R^2}\)
\(\frac{GMm}{8R}\)
\(\frac{GMm}{6R}\)

Two spherical balls of mass 10hg are placed 10cm apart. Find gravitational force of attraction between them

the earth does not attract the objects in a satellite
the normal force by chair on the person balances the earth attraction
the normal force is zero
the person in sattelite is not accelerated

Part - B

Generic 2 - Answer All Question

What is the gravitational potential energy of the Earth and Sun? The Earth to Sun distance is around 150 million km. The mass of the Earth is 5.9 × 10²⁴ kg and mass of the Sun is 1.9 × 10³⁰ kg.

Four particles, each of mass M and equidistant from each other, move along a circle of radius R under the action of their mutual gravitational attraction. Calculate the speed of each particle

Define orbital velocity.

If the ratio of the orbital distance of two planets \({d_1\over d_2}=2,\) what is the ratio of gravitational field experienced by these two planets?

What is meant by escape speed in the case of the Earth?

If the Earth’s pull on the Moon suddenly disappears, what will happen to the Moon?

By which law is the Kepler's law of areas identical? Is this Kepler's law kinematic?

Part - C

Generic 3 - Answer All Question

Why do we have seasons on Earth?

A mass M is broken into two parts, on & (M-m). How is m related to M so that the gravitational force between two parts is maximum?

Determine gravitational potential from gravitational potential energy?

A particle is projected upward from the surface of the earth (radius) with a K.E equal to half the minimum value needed for it to escape. To which height, does it rise above the surface of earth?

Why the gravitational force between the Earth and the Sun is so great while the same force between two small objects is negligible?

A Geo-stationary satellite bits around the earth in a circular but of radius 36,000 m then what will be the time period of a specially satellite orbiting a few hundred km above the earth's surface (R_earth = 6400 km)

Find the period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without friction down an inclined plane of indentation \(\alpha\).

Part - D

Generic 5 - Answer All Question

Consider four masses m₁, m₂, m₃, and m₄arranged on the circumference of a circle as shown in figure below

Calculate
(a) The gravitational potential energy of the system of 4 masses shown in figure.
(b) The gravitational potential at the point O due to all the 4 masses

Explain the variation of g with altitude.

Describe the measurement of Earth’s shadow (umbra) radius during total lunar eclipse.

Calculate the energy of the (i) Moon orbiting the Earth and (ii) Earth orbiting the Sun.
Drive the relation between g and Gravitational constant.

Consider two point masses m1 and m2 which are separated by a distance of 10 meter as shown in the following figure. Calculate the force of attraction between them and draw the directions of forces on each of them. Take m₁= 1 kg and m₂ = 2 kg

1. Calculate the value of g in the following two cases:
(a) If a mango of mass ½ kg falls from a tree from a height of 15 meters, what is the acceleration due to gravity when it begins to fall?
(b) Consider a satellite orbiting the Earth in a circular orbit of radius 1600 km above the surface of the Earth. What is the acceleration experienced by the satellite due to Earth’s gravitational force?

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