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The random errors associated with the measurement of P and Q are 10% and 2%, respectively. What is the maximum percentage random error in P/Q?
Question

The random errors associated with the measurement of P and Q are 10% and 2%, respectively. What is the maximum percentage random error in P/Q?

A.

12.0

B.

9.8

C.

8.0

D.

10.2

Correct option is A

Solution:

We are given:

  • Error in P = 10%
  • Error in Q = 2%
  • We need to find the maximum percentage error in P ÷ Q

When quantities are divided or multiplied, the percentage errors are added.

So,

Maximum percentage error in (P ÷ Q) = Error in P + Error in Q

= 10% + 2% = 12%

Final Answer: (A) 12.0

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