Verified Solution • 2025–26 Session moderate

QNEET-2021-Ph-638: NEET 2021 Physics - Class 12 NEET-2021-Ph-638 Solution: Two charged spherical conductors of radius \(R_1\) and \(R_2\)…

Two charged spherical conductors of radius R1R_1 and R2R_2 are connected by a wire. Then the ratio of surface charge densities of the spheres (σ1/σ2\sigma_1/\sigma_2) is: R22/R12R_2^2/R_1^2 R2/R1R_2/R_1 R1/R2R_1/R_2 (R1/R2)2(R_1/R_2)^2

Multiple Choice Options

  • A R12R22{{R_1^2} \over {R_2^2}} R 2 2 _ R 1 2 _ _
  • B R1R2{{R_1^{}} \over {R_2^{}}} R 2 _ R 1 _ _
  • C R2R1{{R_2^{}} \over {R_1^{}}} R 1 _ R 2 _ _
  • D (R1R2)\sqrt {\left( {{{{R_1}} \over {{R_2}}}} \right)} ( R 2 _ R 1 _ _ ) _

Step-by-Step Verified Solution

Q 1 = � Q R 1 + R 2 _ R 1 Q 2 = � Q R 1 + R 2 _ R 2 _ 1 = Q 1 4 � R 1 2 = � Q R 1 + R 2 _ R 1 4 � R 1 2 _ 1 R 1 _ 2 = Q 2 4 � R 2 2 = � Q R 1 + R 2 _ R 2 4 � R 2 2 _ 1 R 2 _ 1 _ 2 = R 2 R 1

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