Question

Calculate percentage error in kinetic energy of a body og mass 23± 0.1 gm and moving with velocity of 46.0.2 cm/s

Answer 1

☆☆ AS-SALAMU-ALYKUM ☆☆

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IN CASE OF PERCENTAGE ERROR THE PERCENTAGE UNCERTANITIES IN MEASUREMENTS ARE ADDED .


AS THE UNCERTANITIES ARE NOT GIVEN IN PERCENTAGE SO FIRST WE HAVE TO FIND THAT .

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FORMULA :-
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PERCENTAGE UNCERTAINTY = FRACTIONAL ERROR × 100


FRACTIONAL ERROR = ABSOLUTE VALUE ÷MEASUREF VALUE


FRACTIONAL ERROR IN MASS = 0.1÷ 23 = 0.0043


PERCENTAGE UNCERTANITY IN MASS = FRACTIONAL ERROR IN MASS × 100


PERCENTAGE UNCERTANITY IN MASS = 0.0043 × 100 = 0.43 %

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NOW


FRACTIONAL ERROR IN VELOCITY = 0.2÷ 46 = 0.0043


PERCENTAGE ERROR IN VELOCITY = FRACTIONAL ERROR × 100


PERCENTAGE ERROR IN VELOCITY =0.0043 × 100= 0.43 %

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NOW PERCENTAGE ERROR IN KINETIC ENERGY IS:-


PERCENTAGE ERROR IN KINETIC ENERGY = % ERROR IN MASS + ( % IN VELOCITY )^2


PERCENTAGE ERROR IN KINETIC ENERGY = 0.43 + (0.43 )^2


PERCENTAGE ERROR IN KINETIC ENERGY = 0.43 + 0.1849


PERCENTAGE ERROR IN KINETIC ENERGY = 0.6149%


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♡♤♡ INSHALLAH IT WILL HELP U ♡♤♡

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