Kepler’s First Law says that planets move in

• A) Spiral paths
• B) Elliptical orbits
• C) Random curves
• D) Circular paths

Earth has an orbital period of 365 days and its mean distance from the Sun is 1.495x108 km. The planet Pluto’s mean distance from the Sun is 5.896x109 km. Using Kepler’s third law, Pluto’s orbital period in Earth days will be,

• A) 90000 days
• B) 4500 days
• C) 9000 days
• D) 450 days

Consider the following statements, and then select the correct ones. I. Most of the electrical devices we use require AC voltage. II. Most of the electrical energy sold by power companies is transmitted and distributed as alternating current. III. AC voltage can be easily and efficiently converted from one place to another by means of transformers.

• A) I and II are correct, and III is incorrect.
• B) I, II, and III are correct.
• C) I is correct, and II and III are incorrect.
• D) I and III are correct; II is incorrect.

The approximate value of g at an altitude above Earth equal to one Earth diameter is:

• A) 4.9m/s2
• B) 1.1m/s2
• C) 2.5m/s2
• D) 1.9m/s2

If the gravitational potential at a certain height is zero, what can you conclude about the gravitational potential energy at that height?

• A) It cannot be determined
• B) It is infinite
• C) It is positive
• D) It is also zero

What is the dimension of the universal gravitational constant G?

• A) M-1L2T-2
• B) M-1L3T-2
• C) M-1L3T-1
• D) M-2L3T-2

Consider two planets, Planet A and Planet B. Planet A has an average distance from the Sun (rA) that is four times that of Planet B (rB). If the orbital period of Planet B is 3 years, what would be the expected orbital period of Planet A? (Hint: use Kepler’s law)

• A) 9 years
• B) 3 years
• C) 6 years
• D) 12 years

If radius of earth is increased by two time, the volume of earth increased by

• A) 8 times
• B) 27 times
• C) 4 times
• D) 9 times

Suitable units for the gravitational constant G are:

• A) m3/ (kg•s2)
• B) m/s2
• C) kg•m/s2
• D) N•s/m

A rod with moment of inertia of 5 Kgm2 and oscillates with a period of 3.14 seconds, its torsion constant “k” is,

• A) 20 Nm
• B) 10 Nm
• C) 15 Nm
• D) 0.62 Nm

The gravitational constant G has the derived units:

• A) N•m2/kg2
• B) N•m/kg
• C) N•kg/m
• D) N•m

Which of the following statements is true regarding the bending of light around a massive object due to gravity?

• A) Light always travels in a straight line
• B) Light bends towards the massive object.
• C) Light bends away from the massive object.
• D) Light is not affected by gravity.

In special relativity, the factor \gamma is defined as:

• A) {\text{ }}\gamma = \sqrt {1 - {{\left( {{\text{v}}/c} \right)}^2}}
• B) {\text{ }}\gamma = \frac{1}{{\sqrt {1 + {{\left( {{\text{v}}/c} \right)}^2}} }}
• C) {\text{ }}\gamma = 1 - {\left( {{\text{v}}/c} \right)^2}
• D) {\text{ }}\gamma = \frac{1}{{\sqrt {1 - {{\left( {{\text{v}}/c} \right)}^2}} }}

If the kinetic energy of a free particle is much less than its rest energy then its kinetic energy is proportional to:

• A) The magnitude of its momentum
• B) The magnitude of its momentum The square of the magnitude of its momentum
• C) The reciprocal of the magnitude of its momentum
• D) The square root of the magnitude of its momentum

The magnitude of the momentum of a particle can never exceed:

• A) mc, where m is its mass
• B) None of these, but there is an upper limit
• C) E/c, where E is its total energy
• D) K/c, where K is its kinetic energy

In relativistic mechanics, the rest energy E_0 is equal to:

• A) {E_0} = {m_0}{c^2}
• B) {E_0} = \sqrt {\gamma {m_0}{c^2}}
• C) {E_0} = \sqrt {{m_0}{c^2}}
• D) {E_0} = \frac{1}{2}{m_0}{u^2}

Which is the term used to describe the relativistic Doppler effect when the source is moving toward the observer?

• A) Green shift
• B) Violet shift
• C) Red shift
• D) Blue shift

In special relativity, the invariant interval is associated with:

• A) Electromagnetic forces
• B) Spacetime geometry
• C) Gravitational forces
• D) Quantum entanglement

An electron (m=9.11×10-31kg) has a momentum of 4.0×10-22kg•m/s.Its kinetic energy is:

• A) 6.3×10-14J
• B) 1.5×10-13J
• C) 8.2×10-14J
• D) 1.2×10-13J

What is the correct expression for relativistic momentum \vec p ?

• A) \vec p = \sqrt {\gamma m\vec u}
• B) \vec p = \gamma m\vec u
• C) \vec p = \frac{{m\vec u}}{\gamma }
• D) \vec p = m\vec u