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A body travels uniformly a distance of (...

A body travels uniformly a distance of `( 13.8 +- 0.2) m` in a time `(4.0 +- 0.3) s`. Find the velocity of the body within error limits and the percentage error.

A

`(3.5+-0.6)ms^(-1)`

B

`(3.5+-0.3)ms^(-1)`

C

`(6.1+-0.6)ms^(-1)`

D

`(6.1+-0.3)ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `s=(13.8+-0.2)m,t=(4.0+-0.3)` s
`therefore"velocity",v=(s)/(t)=(13.8)/(4.0)=3.45ms^(-1)`
(Rounded off to first place of decimal)
`therefore(Deltav)/(v)=(Deltas)/(s)+(Deltat)/(t)=(0.2)/(13.8)+(0.3)/(4.0)=(0.8+4.14)/(13.8xx4.0)=(4.94)/(13.8xx4.0)`
`=0.0895`
or `Deltav=vxx0.0895=3.45xx0.0895=0.3087`
`therefore` Velocity `=(3.5+-0.3)ms^(-1)`.
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