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The mass density of a planet of radiu...

The mass density of a planet of radius R varie with the distance r form its centre as `rho (r) = p_(0) ( 1 - (r^(2))/(R^(2))) `. Then the graviational field is maximum at :

A

` r = sqrt((5)/(9))R`

B

` r= (1)/(sqrt(3)) R`

C

`r = R`

D

` r = sqrt((3)/(4))R`

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Knowledge Check

  • A cylindrical wire of radius R has current density varying with distance r form its axis as J(x)=J_0(1-(r^2)/(R^2)) . The total current through the wire is

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  • Mass density of sphere having radius R varies as rho = rho_0(1-r^2/R^2) . Find maxium magnitude of gravitational field

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