Question

A physical quantity X is related to four measurable quantities a, b, c and d as follows:

X = a2 b3 c5/2 d–2.

The percentage error in the measurement of a, b, c and d are 1%,2%, 3% and 4%, respectively. What is the percentage error in quantity X ? If the value of X calculated on the basis of the aboverelation is 2.763, to what value should you round off the result.

Answer 1

percentage error is 23.5 % and round of will be upto 4 decimal point

Answer 2

Answer:

The correct answer is 23.5%

Explanation:

As in the question:

Δa/a = 1%

Δb/b=2%

Δc/c=3%

Δd/d=4%

We know that the error in a ² is given by Δa/a  and is the same for others.

∴    2X1 + 3X2 + 5/2X3 + 2X4  (we always add the error as in the case of -d)

∴    =23.5%

By the law of significant figures we know that:-

2.763 can be written as 2.8 (rounded off)

Hoped it helped you.........:)