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Statement I: The smaller the orbit of a ...

Statement I: The smaller the orbit of a planet around the Sun, the shorter is the time it takes to complete.
Statement II: According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from Sun.

A

If both assertion and reason are true and the reason is the correct explanation of the assertion.

B

If both assertion and reason are true but reason is not the correct explanation of the assertion.

C

If assertion is true but reason is false.

D

If the assertion and reason both are false.

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The correct Answer is:
A
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According to Kepler's law of planetary motion, if T represents time period and r is orbital radius, then for two planets these are related as

Assertion : The time period of a satellite revolving very close to the surface of earth is less. Reason : According to Kepler's law, square of time period of revolution is directly proportional to the cube of semi-major axis.

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Knowledge Check

  • This section contains Assertion and Reason type questions. Each question has 4 choices (1), (2), (3) and (4), out of which only one is correct. Assertion (A) Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution. Reason (R) According to Kepler’s third law of planetary motion,square of time period is proportional to cube of mean distance from sun

    A
    If both Assertion and Reason are true and the Reason Is the correct explanation of the Assertion,
    B
    If both Assertion and Reason are true but Reason Is not the correct explanation of the Assertion.
    C
    If Assertion Is correct but Reason Is Incorrect.
    D
    lf Assertion Is Incorrect but Reason Is correct.

  • Kepler's law of planetary motion states that the square of the time period is proportional to the

    A
    semi-major axis
    B
    square of the semi-major axis
    C
    cube of the semi-major axis
    D
    fourth power of the semi-major axis

  • Kepler's law of planetary motion states that the square of the time period is proportional to the

    A
    semi-major axis
    B
    square of the semi-major axis
    C
    cube of the semi-major axis
    D
    fourth power of the semi major axis
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