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

5 \times 10^{2} C

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1 \times 10^{2} C

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5 \times 10^{- 2} C

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1 \times 10^{- 2} C

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Solution

The correct option is C $5 \times 10^{- 2} C$
We know that work done, $W = Q V$
Here,
$W =$ Work done $= 10 J$
$Q =$ Total Charge
$V =$ Potential Difference $= 10 V$

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

$⟹ T o t a l c h a r g e = Q = 5 C$

$⟹$ Total 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 on each charged sphere. What is the charge on each sphere?

The correct option is C 5×10−2 C We know that work done, W=QV Here, W=Work done=10J Q=Total Charge V=Potential Difference=10V from the given information, 50=10×Q ⟹Total charge=Q=5 C ⟹ Total Charge on each sphere = Total chargeTotal number of spheres = 5100 = 5×10−2 C

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