Question
Physics Question on Units and measurement
A physical quantity X is given by X=mn2k3l2 The percentage error in the measurements of k, l, m and n are 1%, 2%, 3% and 4% respectively. The value of X is uncertain by
A
0.08
B
0.1
C
0.12
D
none of these
Answer
0.12
Explanation
Solution
Given : X=mn2k3l2 ∴XΔX×100=(3kΔk+2lΔl+mΔm+21nΔn)×100 =3?1%+2?2%+3%+21×4% =3%+4%+3%+2%=12% Hence, the value of X is uncertain by 12%.