A physical quantity P is related to four observations a,b,c and d as follows. The percentage errors of measurement in a b c and d are 1% 3% 2% and 4% respectively the percentage error in the quantity P is - NEET 2025 PYQ

A physical quantity P is related to four observations a, b, c and d as follows:

P = a³b² / (c√d)

The percentage errors of measurement in a, b, c and d are 1%, 3%, 2%, and 4% respectively.
The percentage error in the quantity P is:

1) 13%

2) 15%

3) 10%

4) 2%

Explanation:
Percentage error in P = |3×1% + 2×3% + 2% + 0.5×4%|
= 3% + 6% + 2% + 2% = 13%
So, the correct answer is 13%. Option 2 (15%) is incorrect.