Verified Solution • 2025–26 Session moderate

QAIPM-2012-Ph-1676: NEET 2012 Physics - Class 12 AIPM-2012-Ph-1676 Solution: Two metallic spheres of radii 1 cm and 3 cm are given charges…

Two metallic spheres of radii 1 cm and 3 cm are given charges of −1×10−2 C-1 \times 10^{-2}\ \text{C} and 5×10−2 C5 \times 10^{-2}\ \text{C} respectively. If these are connected by a conducting wire the final charge on the bigger sphere is 2×10−2 C2 \times 10^{-2}\ \text{C} 3×10−2 C3 \times 10^{-2}\ \text{C} 4×10−2 C4 \times 10^{-2}\ \text{C} 1×10−2 C1 \times 10^{-2}\ \text{C}

Multiple Choice Options

  • A 2 ×\times _ 10 −- _ 2 C
  • B 3 ×\times _ 10 −- _ 2 C
  • C 4 ×\times _ 10 −- _ 2 C
  • D 1 ×\times _ 10 −- _ 2 C

Step-by-Step Verified Solution

At equilibrium potential of both sphere becomes same if charge of sphere one x and other sphere Q � x then where Q = 4 _ 10 �2 C v 1 = v 2 k x 1 c m = k ( Q _ x ) 3 c m 3x = Q � x _ 4x = Q x = Q 4 = 4 _ 10 _ 2 4 C = 1 _ 10 _ 2 Q' = Q � x = 3 _ 10 �2 C

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