Question : A bullet of mass 'm' and velocity 'a' is fired into a large block of wood of mass 'M'. The final velocity of the system is:

Option 1: $\frac{M}{m + M}a$

Option 2: $\frac{\vec{m}}{ m + M}a$

Option 3: $\frac{m + M}{m}a$

Option 4: $\frac{m + M}{M}a$

Question : Identify the correct statement about gravity.

Option 1: The unit of g is the same as that of velocity.

Option 2: The unit of g is the same as that of friction.

Option 3: The unit of g is the same as that of mass.

Option 4: The unit of g is the same as that of acceleration.

Question : Acceleration due to gravity on a planet decreases with ______.

Option 1: decrease in the radius of the planet

Option 2: increase in mass of the planet

Option 3: decrease in mass of the body

Option 4: increase in altitude from the surface of the planet

Question : An object covers distance which is directly proportional to the square of the time. Its acceleration is:

Option 1: increasing 

Option 2: decreasing

Option 3: zero

Option 4: constant

Question : Which of the statements is not correct regarding energy?

Option 1: The energy possessed by a body due to its change in position or shape is called potential energy.

Option 2: An object of mass m moving with velocity v has a kinetic energy of (mv)/2.

Option 3: The gravitational potential energy of an object of mass, M raised through a height, H from the Earth's surface is given by MgH.

Option 4: An object in motion possesses what is known as the kinetic energy of the object.