Assertion :A particle follows only a parabolic path if acceleration is constant. Reason: In projectile motion path is parabolic, as acceleration is assumed to be constant at low heights.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.

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Assertion is correct but Reason is incorrect.

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Assertion is incorrect and Reason is correct.

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Solution

The correct option is D Assertion is incorrect and Reason is correct.
Statement 1 is incorrect because it need not follow a parabolic path for constant acceleration (eg. a ball thrown straight down). Statement 2 is correct because if the gravity is taken to vary over the height travelled by projectile, it will not be a parabolic path. So since acceleration due to gravity is assumed constant in y-direction, the path is parabolic as it can be derived from equations of motion.

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