If a=(2.1+-1) and b=(5.0+-2). calculate the error in the sum of a and b
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11th
Physics
Units and Measurement
Errors in Measurement
The radius of a sphere in m...
PHYSICS
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Asked on December 20, 2019 by
Mubashira Laishram
The radius of a sphere in measured to be (2.1±0.5)cm. Calculate its surface area with error limits.
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surface area of sphere
A=4πr
2
a=4×3.14×(2.1)
2
=55.4cm
2
A=4πr
2
A=4×3.14×(2.1)
2
=55.4cm
2
\\
A
ΔA
=2×
r
Δr
ΔA=2×
r
Δr
×A
=2×
2.1
0.5
×55.4
=26.4cm
2
Surface area =(55.4±26.4)cm
2
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2
Answer:
A=4πr 2
a=4×3.14×(2.1) 2
=55.4cm 2
A=4πr 2
A=4×3.14×(2.1) 2
=55.4cm 2 \\
A ΔA =2× r Δr ΔA=2× r Δr ×A =2× 2.1 0.5 ×55.4
=26.4cm 2
Surface area =(55.4±26.4)cm 2
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