| List-1 | List-2 | ||
| P. | The final charge on capacitor (in \[\mu C\]) | 1. | 2 |
| Q. | The work done by 4 volt cell (in \[\mu J\]) | 2. | 4 |
| R. | The gain in potential energy of capacitor (in \[\mu J\]) | 3. | 6 |
| S. | The net heat produced in circuit (in (\[\mu J\]) | 4. | 8 |
A) \[P-4,Q-2,R-1,S-3\]
B) \[P-4,Q-2,\text{ }R-3,\text{ }S-1\]
C) \[P-2,\text{ }Q-4,\text{ }R-3,S-1\]
D) \[~P-2,Q-4,R-1,S-3\]
Correct Answer: C
Solution :
[c] Initial charge on capacitor \[=C\times V=2\times 1=2\mu C\] Final charge on capacitor \[=C\times V=4\times 1=4\mu C\] Net charge crossing cell of emf \[4V=4-2=2\mu C\]. Work done by cell of emf \[4V=q.V=2\times 4=8\mu J\] Gain in PE of capacitor \[=\frac{1}{2}C(V_{F}^{2}-V_{1}^{2})\] \[=\frac{1}{2}\,(1\mu F)\times 1[{{4}^{2}}-{{2}^{2}}]=6\mu J\] Net heat produced \[=8-6=2\mu J\]
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