UPSC Civil Service Exam Questions - Engineering

Q1:

There are ten instrument staions occupied in succession during a traverse survey. An observer makes equal error in each station, the magnitude of which is δ θ in each instance at all the stations. What is the probable error of the final bearing at the end of the traverse ?

A ± 10 δ θ

B ± 100(δ θ)2

C
± 10 (δ θ)

D
± l0 δ θ

ANS:D -

± l0 δ θ

Probable error is :- (+/-)[sqrt(ex^2+ey^2)]

As per question probale error is:-
(+/-)[sqrt(δθ^2+δθ^2+δθ^2+δθ^2+δθ^2+δθ^2+δθ^2+δθ^2+δθ^2+δθ^2)].

=(+/-)[sqrt(10δθ^2)].
=(+/-)δθ sqrt(10). (Ans).