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MHT CET202521 Apr 2025Morning ShiftPhysicsMathematics in PhysicsActual

A physical quantity A can be determined by measuring parameters B , C, D and E using the relation A= B^ C^ D^ E^ . If the maximum errors in the measurement are b %, c %, d % and e % then maximum error in the value of A is

Options

  1. A( b + c - d - e ) %
  2. B(b+c-d-e) %
  3. C( b + c + d + e ) %
  4. D(b+c+d+e) %

Correct answer

C. ( b + c + d + e ) %

Step-by-step solution

The maximum percentage error in quantity A = B^ C^ D^ E^ is derived using error propagation for multiplicative relationships. Rewriting the expression as A = B^ C^ D^ - E^ - , the fractional error becomes: A A = | | B B + | | C C + | | D D + | | E E Multiplying by 100 to convert to percentage errors: ( A A 100 ) % = b % + c % + d % + e % The maximum percentage error in A is therefore ( b + c + d + e) % , corresponding to option C .

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