Question : Kepler's law of planetary motion states that the square of the period is proportional to the
Option 1: semi-major axis
Option 2: square of the semi-major axis
Option 3: cube of the semi-major axis
Option 4: fourth power of the semi-major axis
Correct Answer: cube of the semi-major axis
Solution : The correct option is a cube of the semi-major axis.
According to Kepler's Law of Periods, a planet's orbital period square is precisely proportionate to its semi-major axis cube. One of Johannes Kepler's three laws of planetary motion was determined in the early 17th century. The semi-major axis of the planet's orbit, denoted by the symbol 'a', is the semi-major axis of the Law of Periods, which is mathematically defined as T2∝ a3. This rule may be used to determine how long an orbit around the sun will last for every planet in the solar system, including Earth.
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Question : Which of the following laws states that with the temperature remaining constant, the volume of a given mass of a gas varies inversely with the pressure of the gas?
Option 1: Graham's Law
Option 2: Kepler's Law
Option 3: Charles's Law
Option 4: Boyle's Law
Question : Which law was discovered in 1660, which states that for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load?
Option 1: Charles's law
Option 2: Avogadro's law
Option 3: Hooke's law
Option 4: Bragg's law
Question : Which law states that bad money drives good money out of circulation?
Option 1: Wagner's law
Option 2: Grimm's law
Option 3: Gresham's law
Option 4: Keynes' law
Question : The loudness of sound is proportional to the ______ of the amplitude of the vibration producing the sound.
Option 1: cube root
Option 2: cube
Option 3: square
Option 4: square root
Question : According to _____ law, the heat produced by an electric current is directly proportional to the resistance of the conductor, the square of the current and the time it flows.
Option 1: Hooke's
Option 2: Charles's
Option 3: Faraday's
Option 4: Joule's
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