A physical quantity ( Q ) is found to depend on observable ( x , y ) and ( z ), obeying relation ( Q= x³ y² z ). The percentage error in the measurements of ( x, y ) and ( z ) are ( 1 %, 2 % ) and ( 4 % ) respectively. What is percentage er

Question

A physical quantity ( Q ) is found to depend on observable ( x , y ) and ( z ), obeying relation ( Q= x³ y² z ). The percentage error in the measurements of ( x, y ) and ( z ) are ( 1 %, 2 % ) and ( 4 % ) respectively. What is percentage error in the quantity ( Q ) ?

Quantrex Academy · Accepted Answer

Correct answer: C. ( 11 % )

Q= x³ y² z Percentage error in measurements of x=1 % Percentage error in measurements of y=2 % Percentage error in measurements of z=4 % Percentage error in Q= Q Q =3 x x +2 y y + z z =3 1+2 2+4=11 %

A physical quantity ( Q ) is found to depend on observable ( x , y ) and ( z ), obeying relation ( Q= x³ y² z ). The percentage error in the measurements of ( x, y ) and ( z ) are ( 1 %, 2 % ) and ( 4 % ) respectively. What is percentage error in the quantity ( Q ) ?

Options

Correct answer

Step-by-step solution

More from Laws of Motion