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CSIR-NET JUNE 2018

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CSIR-NET JUNE 2018

100)The travel time line segments in an up-dip seismic refraction survey have gradients of 0.6666 sec/km and 0.3333 sec/km respectively. If the critical angle is 600, the dip angle of the refractor is a 
(Thanks to Suresh Sir ANU) 
(Thanks to Neeraja AU)

a)100 
b)15o 
c)300 
d)450

sol:
Gradients are given ,

\frac{dt_1}{dx_1}=0.6666sec/km

\frac{dt_2}{dx_2}=0.3333sec/km
 Velocities is nothing but inverse of the Gradients .

V_1=\frac{1}{0.6666}=1.5015 km/sec

V_2=\frac{1}{0.3333}=3.0003 km/sec

\sin(i_c-\theta)=\frac{V_1}{V_2}----------(1)

Critical angle is given 
I_c=60^o

V_1=1.5km/s

V_2=3km/s 
What is the dip angle(\theta)=?

\sin(60^o-\theta)=\frac{1.5}{3}

\sin(60^o-\theta)=0.5

\sin(60^o-\theta)=\frac{1}{2}

\sin(60^o-\theta)=sin 30^o

60^o-\theta=\sin^{-1}\sin30^o

60^o-\theta=30^o

\theta=30^o

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