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.

Options

A. `(3.45+-0.2)ms^(-1)`
B. `(3.45+-0.3)ms^(-1)`
C. `(3.45+-0.4)ms^(-1)`
D. `(3.45+-0.5)ms^(-1)`

Answer

B

Explanation

Here, `S=(13.8+-0.2)`m
and `t=(4.0+-0.3)` sec
Expressing it in percentage error, we have,
`S=13.8+-(0.2)/(13.8)xx100%=13.8+1.4%`
and `T=4.0+-(0.3)/(4)xx100%=4+-7.5%`
`V=(s)/(t)=(13.8+-1.4)/(4+-7.5)=(3.45+-0.3)(m)/(s)`