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Electrostatics question

2015 · Shift 0 · Q57
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Electrostatics question

2015 · Shift 0 · Q57

JEE MainPhysicsElectrostaticsMultiple correct+4 / −1
A uniformly charged solid sphere of radius RRR has potential V0{V_0}V0​(measured with respect to ∞\infty∞) on its surface. For this sphere the equipotential surfaces with potentials 3V02, 5V04, 3V04{{3{V_0}} \over 2},\,{{5{V_0}} \over 4},\,{{3{V_0}} \over 4}23V0​​,45V0​​,43V0​​ and V04{{{V_0}} \over 4}4V0​​ have radius R1,  R2,  R3{R_1},\,\,{R_2},\,\,{R_3}R1​,R2​,R3​ and R4{R_4}R4​ respectively. Then
  1. A
    R1=0{R_1} = 0R1​=0 and R2<(R4−R3){R_2} \lt \left( {{R_4} - {R_3}} \right)R2​<(R4​−R3​)
  2. B
    2R<R42R \lt {R_4}2R<R4​
  3. C
    R1=0{R_1} = 0R1​=0 and R2>(R4−R3){R_2} \gt \left( {{R_4} - {R_3}} \right)R2​>(R4​−R3​)
  4. D
    R1e0{R_1} e 0R1​e0 and (R2−R1)>(R4−R3)\left( {{R_2} - {R_1}} \right) \gt \left( {{R_4} - {R_3}} \right)(R2​−R1​)>(R4​−R3​)
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