Calculation of true thickness of the bed

CSIR-NET JUNE 2018

106) If the depth of the Indian ocean averages 3900m, What would be th approximate forward speed of a shallow wave

a)904 km/hr

b)704 km/hr

c)504km/hr

d)204km/hr

(Thanks to Suresh sir ANU)

(Thanks to Neeraja AU)

Sol:

The relation between Velocity or Speed , depth of a shallow wave is

$V=\sqrt{gd}------(1)$

g=9.8m/s

d=3900m

$V=\sqrt{9.8\times3900}=\sqrt{38220}$

V=195m/s

V=0.195km/s-----------(a)

$1hr=60\times60s$

1hr=3600s

$1s=\frac{1}{3600}hr----------(2)$

V=0.195km/s

$V=0.195km/s=\frac{1}{3600}hr$

$V=0.195\times3600km/hr=703.79km/hr$

V=704km/hr-----------(3)