6
MCQ (Single Correct Answer)
In our solar system, the inter-planetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They
A
will not move around the sun, since they have very small masses compared to the sun
B
will move in an irregular way because of their small masses and will drift away into outer space
C
will move around the sun in closed orbits but not obey Kepler's laws
D
will move in orbits like planets and obey Kepler's laws
7
MCQ (Single Correct Answer)
Choose the wrong option.
A
Inertial mass is a measure of difficulty of accelerating a body by an external force whereas the gravitational mass is relevant in determining the gravitational force on it by an external mass
B
That the gravitational mass and inertial mass are equal is an experimental result
C
That the acceleration due to gravity on the earth is the same for all bodies is due to the equality of gravitational mass and inertial mass
D
Gravitational mass of a particle like proton can depend on the presence of neighbouring heavy objects but the inertial mass cannot
8
MCQ (Single Correct Answer)
Particles of masses $$2 M, m$$ and $$M$$ are respectively at points $$A, B$$ and $$C$$ with $$A B=\frac{1}{2}(B C) \cdot m$$ is much-much smaller than $$M$$ and at time $$t=0$$, they are all at rest as given in figure. At subsequent times before any collision takes place.
A
m will remain at rest
B
m will move towards M
C
m will move towards 2M
D
m will have oscillatory motion
9
MCQ (Multiple Correct Answer)
Which of the following options are correct?
A
Acceleration due to gravity decreases with increasing altitude
B
Acceleration due to gravity increases with increasing depth (assume the earth to be a sphere of uniform density)
C
Acceleration due to gravity increases with increasing latitude
D
Acceleration due to gravity is independent of the mass of the earth
10
MCQ (Multiple Correct Answer)
If the law of gravitation, instead of being inverse square law, becomes an inverse cube law
A
planets will not have elliptic orbits
B
circular orbits of planets is not possible
C
projectile motion of a stone thrown by hand on the surface of the earth will be approximately parabolic
D
there will be no gravitational force inside a spherical shell of uniform density