MCQ Bank
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
If the kinetic energy of a free particle is much greater than its rest energy then its kinetic energy is proportional to:
- A) The reciprocal of the magnitude of its momentum
- B) The square root of the magnitude of its momentum
- C) The magnitude of its momentum
- D) The square of the magnitude of its momentum
An electron is moving at 0.6c.If we calculate its kinetic energy using (1/2) mv2, we get a result that is:
- A) Just half enough
- B) Twice the correct value
- C) About 28% too low
- D) Just right
In special relativity, if the invariant interval is zero, it implies:
- A) The events are lightlike separated
- B) The events are causally disconnected
- C) The events are spacelike separated
- D) The events are timelike separated
The formula \({Q\over t} =kA {ΔT \over L}\) allows us to determine:
- A) Amount of heat transferred over time.
- B) Heat capacity of the material.
- C) Thermal resistance of the material.
- D) Change in temperature due to heat transfer.
In special relativity, what is the term for the minimum energy an object possesses at rest?
- A) Potential energy
- B) Total energy
- C) Rest mass energy
- D) Kinetic energy
In special relativity, the formula for the invariant interval I is given by:
- A) I = {\left( {c\Delta t} \right)^2} + {\left( {\Delta x} \right)^2}
- B) I = {\left( {c\Delta t} \right)^2} - {\left( {\Delta x} \right)^2}
- C) I = {\left( {c\Delta t} \right)^2}
- D) I = \sqrt {{{\left( {c\Delta t} \right)}^2} - {{\left( {\Delta x} \right)}^2}}
In special relativity, the formula for the invariant interval $I$ is given by:
- A) \[I = {\left( {c\Delta t} \right)^2} - {\left( {\Delta x} \right)^2}\]
- B) \[I = {\left( {c\Delta t} \right)^2}\]
- C) \[I = \sqrt {{{\left( {c\Delta t} \right)}^2} - {{\left( {\Delta x} \right)}^2}} \]
- D) \[I = {\left( {c\Delta t} \right)^2} + {\left( {\Delta x} \right)^2}\]
According to relativity theory a particle of mass m with a momentum of 2mc has a speed of:
- A) c/2
- B) 2c
- C) c
- D) 0.89c
What happens to the observed frequency, when an observer approaches a source of light at relativistic speed?
- A) It remains constant
- B) It becomes zero
- C) It decreases
- D) It increases
In special relativity, if the invariant interval is positive, it implies:
- A) The events are simultaneous
- B) The events are timelike separated
- C) The events are lightlike separated
- D) The events are spacelike separated
An electron (m = 9.11×10-31kg, q =1.60×10-19C) travels around a1.7-mm radius circular orbit perpendicular to a 2.8-T magnetic field. Its speed is:
- A) c
- B) 0.16c
- C) 0.94c
- D) 0.36c