A person measures two quantities as A = 1.0 m ± 0.2 m, B = 2.0 m ± 0.2 m. We should report correct value for AB as
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 m, B = 2.0 m ± 0.2 mLet, Y = AB = (1.0)(2.0) = 1.414 m∆YY = 12[∆AA+∆BB]= 12[0.21.0+0.22.0] = 0.62×2.0⇒∆Y = 0.6 Y2×2.0 = 0.6×1.42×2.0 = 0.21Rounding off to one significant digit∆Y = 0.2 mThus, correct value forAB = r+∆r = 1.4 ± 0.2 m