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A charge is uniformly distributed inside...

A charge is uniformly distributed inside a spherical body of radius `r_(1) = 2 r_(0)` having a concetric cavity of radius `r_(2) = r_(0)` (`rho` is charge density inside the sphere). The potential of a point P at a distance `(3 r_0)/(2)` from the centre is

A

`(7 rho r_0^2)/(6 epsilon_0)`

B

`(101 rho r_0^2)/(72 epsilon_0)`

C

`(17 rho r_0^2)/(72 epsilon_0)`

D

none of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distanace R/4 from the centre of sphere. The gravitational force on mass m is

    A
    `(11GMm)/(R^(2))`
    B
    `(14 GMm)/(R^(2))`
    C
    `(GMm)/(2R^(2))`
    D
    `(GMm)/(R^(2))`

  • A hallow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre:

    A
    decreases as r increases for `rltR` and `rgtR`
    B
    increases as r increases for `rltR` and `rgtR`
    C
    zero as r increases for `rltR`, decreases as r increases for `rgtR`
    D
    zero as r increases for `rltR`, increases for `rgtR`

  • Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by , rho(r)=kr , where r is the distance from the centre. Two charge A and B, of –Q each, are placed on diametrically opposite points, at equal distance, a from the centre. If A and B do not experience any force, then:

    A
    `a=2^(-1//4)R`
    B
    `a=R/(sqrt(3))`
    C
    `a=8^(-1//4)R`
    D
    `a=(3R)/(2^(1//4)`
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