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Let P(r)=(Q)/(piR^4)r be the charge dens...

Let `P(r)=(Q)/(piR^4)r` be the charge density distribution for a solid sphere of radius R and total charge Q. For a point 'p' inside the sphere at distance `r_1` from the centre of the sphere, the magnitude of electric field is:

A

`Q/(4 pi epsilon_0 r_1^2)`

B

`(Qr_1^2)/(4 pi epsilon_0 R^4)`

C

`(Qr_1^2)/(3 pi epsilon_0R^4)`

D

0

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Knowledge Check

  • Let rho(r) = (Q r)/(piR^4) be the charge density distribution for a solid sphere of radius R and total charge Q. For a point P inside the sphere at a distance r_1 from the centre of the sphere, the magnitude of electric field is

    A
    `Q/(4piepsilon_0r_1^2)`
    B
    `(Qr_1^2)/(4piepsilon_0R^4)`
    C
    `(Qr_1^2)/(3piepsilon_0R^4)`
    D
    zero

  • Let rho(r)=(Qr)/(piR^(4)) be the charge density distribution for a soild sphere of radius R and total charge Q. For a point P inside the sphere at a distance r_(1) from the centre of the sphere, the magnitude of electric field is

    A
    `Q/(4piepsilon_(0)r_(1)^(2))`
    B
    `(Qr_(1)^(2))/(4piepsilon_(0)R^(4))`
    C
    `(Qr_(1)^(2))/(3piepsilon_(0)R^(4))`
    D
    zero

  • 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`

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