The acceleration due to gravity is found up to an accuracy of 4 % on a planet. The energy supplied to a simple pendulum of known mass m to undertake oscillations of time period T is being estimated. If time period is measured to an accuracy of 3 % , the accuracy to which E is known as ________ %

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Aicharya · Accepted Answer

T = 2 &#960; l g &#916; l l &#215; 100 = &#916; g g &#215; 100 + 2 &#916; T T &#215; 100 &#8658; &#916; l l &#215; 100 = 4 + 2 &#215; 3 = 10 % E = 1 2 m &#969; 2 A 2 = 1 2 m g l A 2 Therefore , &#160; &#916; E E &#215; 100 = &#916; g g &#215; 100 + &#916; l l &#215; 100 = 4 + 10 = 14 %

The acceleration due to gravity is found up to an accuracy of 4 % on a planet. The energy supplied to a…

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