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Three concentric metallic spherical shel...

Three concentric metallic spherical shells of radii R, 2R, 3R are given charges `Q_(1) Q_(2) Q_(3)`, respectively. It is found that the surface charge densities on the outer surface of the shells are equal. Then, the ratio of the charges given to the shells `Q_(1) : Q_(2) : Q_(3)` is

A

`1:2:3`

B

`1:3:5`

C

`1:4:5`

D

`1:8:18`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Three concenric metallilc sphereicla shells of radii R,2R, 3R are given charges Q_(1), Q_(2), Q_(3) respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then the ratio of the charges given to the shells Q_(1):Q_(2):Q_(3) is

    A
    `1:2:3`
    B
    `1:3:5`
    C
    `1:4:9`
    D
    `1:8:18`
  • Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q_1 , Q_2 , Q_3 , respectively. It is found that the surface charge denisties on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q_1:Q_2:Q_3 , is

    A
    (a) 1:2:3
    B
    (b) 1:3:5
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  • Two concentric spherical shells fo radill R and 2R are given charges Q_(1) and Q_(2) respectively. The surfaces charge densities of the outer surfaces are equal. Determine the ratio Q_(1) : Q_(2) .

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