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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)` |
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Answer» Correct Answer - b Here `s = (13.8 +- 0.2)m` `T = (4.0 +- 0.3)s` `:. "Velocity" v = (s)/(t) = (13.8)/(4.0) = 3.45 ms^(-1)` (Rounded off to first place of decimal `:. (Delta v)/(v)= (Delta s)/(s)+(Delta t)/(t)= (0.2)/(13.8) + (0.3)/(4.0)` `= (0.8+4.14)/(13.8 xx 4.0) = (4.94)/(13.8 xx4.0) = 0.0895` or `Delta v = v xx 0.0895 = 3.45 xx 0.0895 = 0.3087` `:. "velocity" = (3.5 +- 0.3)ms^(-1)` |
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