100 metallic charged spheres are pumped in a tube maintained at a potential difference of 10 V. If 50 J of work is done is the charge on each sphere.

5 \times 10^{2}

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1 \times 10^{2}

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5 \times 10^{- 2}

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1 \times 10^{- 2}

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Solution

The correct option is C $5 \times 10^{- 2}$ C
We know that work done, W = qV

from the given information,
50 = $10 \times q$

$⟹ T o t a l c h a r g e = q = 5 C$

Charge on each sphere = $\frac{T o t a l c h a r g e}{T o t a l n u m b e r o f s p h e r e s}$

= $\frac{5}{100}$ = $5 \times 10^{- 2} C$

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100 metallic charged spheres are pumped in a tube maintained at a potential difference of 10 V. If 50 J of work is done is the charge on each sphere.

The correct option is C 5×10−2 CWe know that work done, W = qV from the given information, 50 = 10×q ⟹Total charge=q=5 C Charge on each sphere = Total chargeTotal number of spheres = 5100 = 5×10−2 C