This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Here are the solutions to the multiple-choice questions:
1. The property of a material by which it returns to its original shape after removal of deforming force is called: This property is known as elasticity. The correct option is (B) Elasticity.
2. The point on a stress-strain curve where a material begins to deform plastically is called: This point is the yield point, beyond which the material will not return to its original shape. The correct option is (B) Yield point.
3. The apparent loss in weight of a body when immersed in water is equal to: According to Archimedes' principle, the buoyant force (and thus the apparent loss in weight) is equal to the weight of the displaced water. The correct option is (B) Weight of displaced water.
4. For an ideal gas, the internal energy is directly proportional to: For an ideal gas, the internal energy depends solely on its temperature. The correct option is (B) Temperature.
5. A gas does of external work in adiabatic process while expanding, then the change in internal energy is: Step 1: Recall the first law of thermodynamics: , where is the change in internal energy, is the heat added to the system, and is the work done by the system. Step 2: For an adiabatic process, there is no heat exchange, so . Step 3: The gas does of work while expanding, so . Step 4: Substitute the values into the first law of thermodynamics. The correct option is (C) .
6. First law of thermodynamics is based upon law of conservation of: The first law of thermodynamics is a statement of the conservation of energy. The correct option is (B) energy.
7. Beats are produced due to the: Beats are formed when two sound waves of slightly different frequencies interfere with each other. The correct option is (B) Interference of two sound waves of slightly different frequencies.
8. Doppler effect is used to find: The Doppler effect is used in various applications, including determining the speed of submarines (sonar), the angular velocity of planets (astronomy), and the redshift of distant galaxies. Therefore, it is used for all of these. The correct option is (D) all of these.
9. Light glare can be reducing by using: Light glare can be significantly reduced by using a polaroid (polarizing filter), which blocks light waves oscillating in certain planes. The correct option is (A) polaroid.
10. The typical length of LIGO's interferometer arms is: The Laser Interferometer Gravitational-Wave Observatory (LIGO) uses two interferometers, each with arms that are 4 km long. The correct option is (D) .
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1. The property of a material by which it returns to its original shape after removal of deforming force is called: This property is known as elasticity.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.