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Assertion: The error in the measurement of radius of the sphere is 0.3%. The permissible error in its surface area is 0.6%. Reason: The permissible error is calculated by the formula \(\frac{ΔA}{A}\) = \(\frac{4Δr}{r}\)(A) Assertion is True, Reason is True; Reason is a correct explanation for Assertion (B) Assertion is True, Reason is True; Reason is not a correct explanation for Assertion (C) Assertion is True, Reason is False (D) Assertion is False, Reason is False. |
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Answer» Answer is (C) Assertion is True, Reason is False A = 4πr2 ∴ Fractional error \(\frac{ΔA}{A}\) = \(\frac{2Δr}{r}\) \(\frac{ΔA}{A}\) x 100 = 2 x 0.3% = 0.6% |
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