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CSIR-NET 2016 DEC (50)

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CSIR-NET

50. A seismic ray incident at an angle of 30 degrees is refracted at 
an angle of 45 degrees . If the velocity in the upper layer is V1=2.0 
km/s, then the velocity in the underlying layer is close to 

A) 2.2 km/s
B) 2.4 km/s
C) 2.6 km/s
D) 2.8 km/s



Solution:


From Snell’ s law


sini /sinr = V1/ V2-------------(1)


i= incident angle = 300


r= refracted angle = 450



V1= velocity of the upper layer = 2 km/s


V2= velocity of the underlying layer = ?


substitute above values in eq(1)


sin 300/ sin 450 = 2/ V2


V2= 2 sin450 / sin300


V2 = ( (2 * 1/2) / (1/2) )


V2 = 2* 1.414


V2= 2.8 km/s


Therefore, velocity of the underlying layer (V2) = 2.8 km/s





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