Physics And Measurement Question 202

Question: A body travels uniformly a distance of (S+ΔS) in a time (t±Δt) . What may be the condition so that body within the error limits move with a velocity (St±ΔSΔt) ?

Options:

A) Δtt+S(Δt)2(ΔS)t2=±1

B) Δtt+SΔtΔSt=±1

C) Δtt+(ΔS)tS(Δt)=±1

D) Δtt+S2Δt(ΔS)2t=±1

Show Answer

Answer:

Correct Answer: A

Solution:

[a] V=St

ΔV=1t.ss.ΔS+St2Δt=(ΔSt+SΔtt2) So ΔSt+SΔtt2=ΔSΔt.Δtt+(ΔS).S(Δt2)(ΔS).t2(Δt)

Or ΔSΔt[Δtt+S(Δt)2(ΔS)t2]=±ΔSΔt (given)

So, Δtt+S(Δt)2(ΔS)t2=±1



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