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If v(0) be the orbital velocity of an ar...

If `v_(0)` be the orbital velocity of an articial satellite orbital velocity of the same satellite orbiting at an altitude equal to earth's radius is

A

(a)`sqrt((Y)/(rhon))`

B

(b)`sqrt((Y)/(rho^((1)/(2))))`

C

(c)`sqrt((Y)/(rho))`

D

(d)`sqrt((Y)/(rhon^((3)/(2))))`

Text Solution

Verified by Experts

The correct Answer is:
B

`V_1=sqrt((Y)/(rho))=` velocity of longitudinal waves
`V_2=sqrt((T)/(rhoS))=` velocity of transverse waves
`V_1V_2=(1)/(rho)sqrt(Y.Y(trianglel)/(l))=(Y)/(rho)sqrt((trianglel)/(l))`
(As `(T)/(S)=Y(trianglel)/(l)`)
But `(trianglel)/(l)=((l)/(n))/(l)=(1)/(n)`
`V_1V_2=(Y)/(rhon^((1)/(2)))`
`V^2=(Y)/(rhon^((1)/(2)))`
`V=sqrt((V)/(rhon^((1)/(2))))`
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