You measure two quantities as A=1.0m±0.2m, B=0.2m±0.2m. We should report correct value for AB is
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
1.4 m±0.4 m
b
1.41 m±0.15 m
c
1.4 m±0.3 m
d
1.4 m±0.2 m
answer is D.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Given A=1.0 m±0.2 mB=2.0 m±0.2 mx=AB=1.0×2.0=1.414 mRounding-off to two significant digits,x=AB=1.4 mNow, Δxx=12[ΔAA+ΔBB]=12[0.21.0+0.20.2]=0.62×2.0Δx=0.6×x2×2.0=0.15×1.414=0.2121Rounding-off to one significant digits, Δx=0.2 mThus, AB=1.4 m±0.2 m