Figure shows a hemisphere of charge Q and radius R and a sphere of charge 2Q and radius R. The total potential energy of hemisphere is $U_{H}$ and that the sphere is $U_{S}$ . Then,

2 U_{H} = U_{S}

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2 U_{H} < U_{S}

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2 U_{H} > U_{S}

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U_{H} = U_{S}

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Solution

The correct option is C $2 U_{H} < U_{S}$
As both hemispherical sphere and sphere have charge so there are some interaction energy in between them. here, $U_{S} = 2 U_{H} +$ interaction energy term. Thus, $U_{S} > 2 U_{H}$ .

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Figure shows a hemisphere of charge Q and radius R and a sphere of charge 2Q and radius R. The total potential energy of hemisphere is UH and that the sphere is US. Then,

The correct option is C 2UH<USAs both hemispherical sphere and sphere have charge so there are some interaction energy in between them. here, US=2UH+ interaction energy term. Thus, US>2UH.

Figure shows a hemisphere of charge Q and radius R and a sphere of charge 2Q and radius R. The total potential energy of hemisphere is $U_{H}$ and that the sphere is $U_{S}$ . Then,

The correct option is C $2 U_{H} < U_{S}$
As both hemispherical sphere and sphere have charge so there are some interaction energy in between them. here, $U_{S} = 2 U_{H} +$ interaction energy term. Thus, $U_{S} > 2 U_{H}$ .