Relativity: Meaning, Theory

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Namrata Das

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Relativity is referred to as a theorem formulated by Albert Einstein, who is well-known for many things, but his most famous creation is the theory of relativity. It forever altered our perceptions of space and time. To put it succinctly, it is the belief that the laws of physics are the same everywhere. We on Earth follow the same laws of light and gravity as someone in another part of the universe. Because physics is universal, history is provincial. The timing and spacing of events will be perceived differently by different viewers. For someone flying in a high-speed rocket or falling into a black hole, what we consider a million years may be just a blink of an eye, everything is relative. Here, we will be discussing more about relativity, its special and general theory along with some important questions.

Key takeaways: Relativity, Theory of Relativity, General Theory of Relativity, Special Theory of Relativity, Speed, Motion


Theory of Relativity

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Albert Einstein's theory of relativity is another name for the theory of relativity. Relativity is simply the idea that objects in motion are relative to one another. For example, two kids are playing catch the ball in a truck, and the truck is moving at a constant speed, i.e., 50 mph, and the kids are also moving at a constant speed, i.e., 50 mph even if they are standing still. While kid A is passing the ball to kid B at 10 mph, an observer outside the truck calculated the speed of the ball by adding the speed of the ball and the speed of the truck, which is given by,

50 mph + 10 mph = 60 mph.

Do you believe this boy is still standing?

Do you believe this boy is still standing?

This boy is constantly in motion due to the rotation of the earth and sun, and the galaxy is also in motion. As a result, nothing is ever completely still or completely moving. Things only move in relation to one another. This is also known as the classical theory of relativity.

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Definition of Relativity Theory

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According to the theory of relativity, the laws of physics are the same for all sets of observers.

According to this theory: There is no such thing as an absolute reference frame. If the object or momentum is only in relation to other objects, an observer can measure velocity. The speed of light remains constant regardless of who measures it, how fast an observer moves or how fast he measures.


Special And General Theory Of Relativity

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The theory of relativity is made up of two theories: Relativity in general Relativity with a twist When we talk about relativity theory, we're really talking about general theory. Special relativity is a subset of general relativity. The combination of these two principles allows us to explain a wide range of phenomena, from planet motion to the effect of gravity on light due to the existence of black holes. In this article, we will discuss these two.

General Theory Of Relativity

Albert Einstein created the theory of general relativity in 1915. He predicted that the space-time around Earth would be distorted as well as twisted by the planet's rotation, and he determined that massive objects could cause a warp in space-time, which he called gravity. It asserts that being at rest and accelerating in the gravitational field are physically equivalent. A boy, for example, can see the free-fall of a ball both on Earth and while sitting in a rocket. This is due to the fact that the rocket's acceleration is also 9.8 ms-2. This theory is fundamentally related to Newton's gravitational theory and special relativity.

Special Theory Of Relativity

Albert Einstein, a theoretical physicist, discovered in 1905 that the laws of physics are the same for all non-accelerating observers. The speed of light in a vacuum, on the other hand, is independent of the motion of all observers.

This theory was known as the special theory of relativity, and it introduced a new framework to the world of physics as well as new concepts of space and time.

Part 1 of the Special Theory of Relativity: Time Dilation

Consider a light beam that is reflected between two mirrors. Reflection of light between mirrors.

Case 1: Consider case 1 with the mirror at rest

The time it takes for light to bounce between two mirrors separated by a distance 'd' is approximately one second.

This gives us the 's' value for the speed of light.

We know that speed = distance/time = d/1.

Or,

d = s

Case 2: Moving mirrors

Now, when the mirrors move at a certain speed, the clock moves in the same direction at the same speed.

Light must travel an additional distance with the mirrors from distance 'd' to distance 'D' at light speed 'S' in time 't = 1 second.'

So, S = D/1

Or,

S = D

Which states D > d

However, in the 1800s, the Michelson-Morley experiment attempted to detect the relative motion of matter through the ether and concluded that the speed of light is constant, denoted by the symbol c.

So, in our case,

s + S + c

As a result, time slows down as you move faster and faster at the speed of light.

This theory is known as time-dilation theory, and it proved that time is different for different observers, breaking the traditional understanding of time as a constant entity.


Things to Remember

  • Albert Einstein's theorem of relativity states that space and time are relative, and that all motion must be relative to a frame of reference. It is the belief that all laws of physics are the same everywhere. This theory is straightforward but difficult to grasp.
  • There is no such thing as an absolute reference frame. If the object or momentum is only in relation to other objects, velocity can be measured.
  • The speed of light remains constant regardless of who measures it or how fast the person doing the measuring moves.
  • Albert Einstein's Theory of Relativity is divided into two parts: Special Relativity Theory and General Relativity Theory.
  • Einstein's Theory of Relativity is one of the most important scientific discoveries in history, and it has aided in the discovery of astronomical phenomena such as black holes, gravitational waves, and neutron stars. It also gave us one of science's most famous equations, the Mass-Energy Equivalence:
  • Mc2 = E

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Sample Questions

Ques: What Is the Meaning of Relativity? (3 marks)

Ans: The theory of relativity describes how different sets of observers' measurements of space and time can differ when one object moves relative to another. Relativity is a theorem, formulated by Albert Einstein, which states that space and time are relative and all the motion must be relative to a frame of reference. It is a notion that states, laws of physics are the same everywhere. This theory is simple but hard to understand.

Ques: What is E = mc2? (3 marks)

Ans: Albert Einstein, a theoretical physicist, developed the equation E = mc2 in 1905.

He explained the relationship between energy and mass using this equation.

Here, E denotes energy units, m denotes mass units, and c2 denotes the square of the speed of light.

He used c because he was measuring the speed of light in relation to two moving systems.

This theory explained how much energy stars and nuclear explosions can release.

Ques: Is the Theory of Relativity based on E = mc2? (2 marks)

Ans: According to Einstein's equation, E = mc2, energy and mass are interchangeable. It is a special relativity theory that describes how space and time are linked to an object moving at a constant speed equal to the speed of light.

Ques: How Do We Apply E = mc2 Nowadays? (2 marks)

Ans: The equation E = mc2 resulted in the development of an atomic bomb.

We use this theory where E = mc2 is used in PET scans and other diagnostics used in hospitals.

Ques: State Special theory of relativity. (3 marks)

Ans: This term was coined by Albert Einstein in 1905. It is a theorem about the structure of space-time. This theory was explained by Einstein based on two postulates –

Regardless of the observer's velocity, the laws of physics are the same for all.

The speed of light is always constant, regardless of whether the light source or the observer moves.

Ques: State General theory of relativity. (3 marks)

Ans: Einstein's General Relativity theory, developed between 1907 and 1915, states that being at rest and accelerating in a gravitational field are physically identical. An observer, for example, can see the ball fall in the same way on the rocket and on Earth. This is due to the rocket's acceleration, which is 9.8 m/s2. This theory is related to Newton's gravitational theory as well as special relativity.

Ques: What are some of the consequences of General theory of relativity? (2 marks)

Ans: Gravitational Time Dilation: The passage of time is influenced by gravity. Clocks run slower in deeper gravitational wells than in general gravitational levels. In a gravitational field, light rays will bend. Parts of the universe are expanding and moving away from Earth faster than the speed of light.


Previous Year Questions

  1. The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T  (Kelvin) and mass  m, is….. [ NEET 2017]  
  2. A photocell stops emission if it is maintained at 2 V positive potential. The energy of most energetic photoelectron is... [JIPMER 1999]
  3. If the X-ray tube is working at 20 kV then the minimum wavelength of X-rays will be….
  4. Electrons of mass mm with de-Broglie wavelength…. [NEET 2016]
  5. The de Broglie wavelength of a proton of mass M if it is accelerated by the same potential difference is … [WEBJEE 2016]

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CBSE CLASS XII Related Questions

  • 1.
    Two parallel plate capacitors X and Y are connected in series to a 6 V battery. They have the same plate area and same plate separation but capacitor X has air between its plates, whereas capacitor Y contains a material of dielectric constant 4. Calculate the capacitances of X and Y, if the equivalent capacitance of the combination of X and Y is \( 4 \, \mu\text{F} \). Calculate the potential difference across the plates of X and Y.


      • 2.
        A tank is filled with a liquid to a height of \( 12.5 \, \text{m} \). The apparent depth of a needle lying at the bottom of the tank is measured to be \( 9.0 \, \text{m} \). Calculate the speed of light in the liquid.


          • 3.
            If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.


              • 4.
                Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]


                  • 5.
                    A long solenoid of length \( L \) and radius \( r_1 \) having \( N_1 \) turns is surrounded symmetrically by a coil of radius \( r_2 \, (r_2>r_1) \) having \( N_2 \) turns (\( N_2 \ll N_1 \)) around its mid-point. Derive an expression for the mutual inductance of solenoid and coil. Is \( M_{12} = M_{21} \) valid in this case?


                      • 6.
                        If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

                          CBSE CLASS XII Previous Year Papers

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