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Explain how Newton verified his law of gravitation.
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Assume that you are in another solar system and provided with the set of data given below consisting of the planets’ semi-major axes and time periods. Can you infer the relation connecting semi-major axis and time period?
| Planet (imaginary) | Time period (T) (in year) | Semi-major axis (a) (in AU) |
| Kurinji | 2 | 8 |
| Mullai | 3 | 18 |
| Marutham | 4 | 32 |
| Neithal | 5 | 50 |
| Paalai | 6 | 72 |
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If the masses and mutual distance between the two objects are doubled, what is the change in the gravitational force between them?
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If the angular momentum of a planet is given by `vec"L" = 5"t"^2hat"i" - 6"t"hat"j" + 3hat"k"`. What is the torque experienced by the planet? Will the torque be in the same direction as that of the angular momentum?
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Suppose unknowingly you wrote the universal gravitational constant value as G = 6.67 × 1011. instead of the correct value, G = 6.67 × 10−11, what is the acceleration due to gravity g' for this incorrect G? According to this new acceleration due to gravity, what will be your weight W'?
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In hot summer after a bath, the body’s __________.
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‘An object contains more heat’- is it a right statement? If not why?
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Explain the meaning of heat and work with suitable examples.
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A particle of mass m is moving with speed u in a direction which makes 60° with respect to the x-axis. It undergoes elastic collision with the wall. What is the change in momentum in x and y direction?
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Write down the postulates of the kinetic theory of gases.
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A transverse wave moves from a medium A to a medium B. In medium A, the velocity of the transverse wave is 500 ms-1 and the wavelength is 5 m. The frequency and the wavelength of the wave in medium B when its velocity is 600 ms-1, respectively are:
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What are transverse waves? Give one example.
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What are longitudinal waves? Give one example.
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Write down the relation between frequency, wavelength and velocity of a wave.
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Sketch the function y = x + a. Explain your sketch.
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Discuss how ripples are formed in still water.
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