Physics MCQs
Topic Notes: Physics
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1
The mass-energy equivalence relation is a fundamental consequence of which physical theory?
Answer:
special theory of relativity
The mass-energy equivalence, expressed by the equation E=mc², was derived by Albert Einstein as part of his Special Theory of Relativity, published in 1905.
2
How does Einstein's mass-energy equivalence principle, E = mc², describe the relationship between an object's velocity and its relativistic mass?
Answer:
As velocity increases, mass increases
According to the special theory of relativity, as an object's velocity approaches the speed of light, its relativistic mass increases. The equation E = mc² demonstrates that mass and energy are interchangeable. As more energy is added to an object to increase its speed, the total energy of the system increases, which manifests as an increase in the object's relativistic mass.
3
What is the energy equivalent of a 0.001 kg mass expressed in gigawatt-hours (GWh)?
Answer:
25.00 GWh
Using Einstein's mass-energy equivalence formula E=mc², where m=0.001 kg and c is approximately 3x10^8 m/s, the energy is 9x10^13 Joules. Converting Joules to watt-hours (1 Wh = 3600 J) gives 2.5x10^10 Wh, which equals 25,000,000 kWh or 25 GWh. This calculation confirms the energy released by the total conversion of mass into energy.
4
What is the mathematical expression for the mass-energy equivalence principle proposed by Albert Einstein?
Answer:
E=mc²
Einstein's mass-energy equivalence principle, expressed as E=mc², states that mass and energy are interchangeable. Here, E represents energy, m represents mass, and c is the speed of light in a vacuum. This equation implies that even a small amount of mass contains a tremendous amount of energy, which is the fundamental principle behind nuclear reactions and the energy production in stars.
5
According to the principles of special relativity and the mass-energy equivalence relation E = mc², how does the relativistic mass of an object change as its velocity increases?
Answer:
As speed increases, mass increases
In special relativity, the relativistic mass of an object increases as its velocity approaches the speed of light. This is described by the Lorentz factor, where mass effectively increases as kinetic energy is added to the system, confirming that higher speeds result in higher relativistic mass.
6
Which physical theory serves as the foundation for the mass-energy equivalence principle?
Answer:
Special relativity
The mass-energy equivalence principle, famously summarized by the equation E=mc², was introduced by Albert Einstein as part of his Special Theory of Relativity. This principle establishes that mass and energy are two forms of the same physical entity, and they can be converted into one another under specific conditions.
7
What is the correct mathematical expression representing the relationship between mass (m), the speed of light (c), and energy (E) as derived from Einstein's theory?
Answer:
E = m c²
Albert Einstein's mass-energy equivalence principle states that mass and energy are interchangeable. The formula E = mc² signifies that the energy (E) of an object at rest is equal to its mass (m) multiplied by the square of the speed of light (c) in a vacuum. This is a fundamental concept in modern physics.
8
What is the correct expression for relativistic mass in terms of energy E and the speed of light c?
Answer:
E/c2
Einstein's mass-energy equivalence principle states that E=mc², where E is the total energy, m is the relativistic mass, and c is the speed of light in a vacuum. By rearranging this fundamental equation to solve for mass, we obtain m = E/c². This relationship demonstrates that mass and energy are interchangeable and proportional to each other by the square of the speed of light.
9
What is the mathematical relationship between relativistic energy E and relativistic mass m?
Answer:
E/c^2
The principle of mass-energy equivalence, formulated by Albert Einstein, is expressed by the equation E = mc^2. In this context, E represents the total relativistic energy and m represents the relativistic mass. Rearranging this fundamental equation to solve for mass gives m = E/c^2, which confirms the relationship between energy and the square of the speed of light.
10
Which scientist proposed the principle regarding the interconversion of matter and energy?
Answer:
Einstein
Albert Einstein formulated the mass-energy equivalence principle, expressed by the famous equation E=mc^2. This principle states that mass and energy are interchangeable, as mass is essentially concentrated energy, a cornerstone of modern relativistic physics.