CBSE Class 11-science Answered
An object covers (16.0+- 0.4)m distance in (4.0+- 0.2)s . Find out its speed
Asked by harshtagupta123 | 14 Aug, 2021, 09:08: PM
Expert Answer
Speed = Distance / time
Distance d ± Δd = 16 ± 0.4
Time t ± Δt = 4 ± 0.2
Speed v = (d/t) ± Δv
Since division is performed to get speed ,
relative error in speed ( Δv / v ) = ( Δd / d ) + ( Δt / t )
( Δv / v ) = ( 0.4 / 16 ) + ( 0.2 / 4 ) = 0.075
speed without uncertaintity = d/ t = 16 / 4 = 4 m/s
Hence error in speed Δv = 0.075 × 4 = 0.3 m/s
Speed with uncertaintity = 4 ± 0.3 m/s
Answered by Thiyagarajan K | 14 Aug, 2021, 11:12: PM
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