Question

Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those

Answer 1

Answer:

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Class 11

>>Physics

>>Units and Measurement

>>Errors in Measurement

>>You measure two quantities ...

Question

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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for

AB

as

Medium

Solution

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Correct option is

D

1.4m±0.2m

Here, A=1.0m±0.2m, B=2.0m±0.2m

AB=(1.0m)(2.0m)=2.0m

2

AB

=

2.0m

=1.414m

Rounding off to two significant figures, we get

AB

=1.4m

AB

ΔAB

=

2

1

(

A

ΔA

+

B

ΔB

)=

2

1

(

1.0

0.2

+

2.0

0.2

)=

2

0.3

Δ

AB

=

2

0.3

×

AB

=

2

0.3

×1.414=0.212m

Rounding off to one significant figure, we get

Δ

AB

=0.2m

The correct value for

AB

is 1.4m±0.2m