If percentage error in the measurement of speed of a body is 30% then what will be percentage error in the measurement of its kinetic energy?
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Explanation:
Correct option is
A
60%
Given: speed =v⇒
v
dv
x∣0;%=30%
mass =m−
m
dm
×100%=0
kinetic energ y=k=
2
1
mv
2
Taking log both side and differentiating
k
δk
=
m
δm
+2
v
δv
K
δK
×100
=
m
δm
×100%+2
v
δv
×100%
=2×30%
=60%
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