SATHEE: Electrostatics Question 374

Electrostatics Question 374

Question: Two insulated charged conducting spheres of radii $20 c m$ and $15 c m$ respectively and having an equal charge of $10 C$ are connected by a copper wire and then they are separated. Then [MP PET 1997]

Options:

A) Both the spheres will have the same charge of $10 C$

B) Surface charge density on the $20 c m$ sphere will be greater than that on the $15 c m$ sphere

C) Surface charge density on the $15 c m$ sphere will be greater than that on the $20 c m$ sphere

D) Surface charge density on the two spheres will be equal

Show Answer

Answer:

Correct Answer: C

Solution:

After redistribution, charges on them will be different, but they will acquire common potential i.e. $k \frac{Q_{1}}{r_{1}} = k \frac{Q_{2}}{r_{2}}$

therefore $\frac{Q_{1}}{Q_{2}} = \frac{r_{1}}{r_{2}}$ As $σ = \frac{Q}{4 π r^{2}}$

therefore $\frac{σ_{1}}{σ_{2}} = \frac{Q_{1}}{Q_{2}} \times \frac{r_{2}^{2}}{r_{1}^{2}}$

therefore $\frac{σ_{1}}{σ_{2}} = \frac{r_{2}}{r_{1}}$

therefore $σ \propto \frac{1}{r}$ i.e. surface charge density on smaller sphere will be more.

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Electrostatics Question 374

Question: Two insulated charged conducting spheres of radii $20 c m$ and $15 c m$ respectively and having an equal charge of $10 C$ are connected by a copper wire and then they are separated. Then [MP PET 1997]

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Electrostatics Question 374

Question: Two insulated charged conducting spheres of radii 20cm and 15cm respectively and having an equal charge of 10C are connected by a copper wire and then they are separated. Then [MP PET 1997]

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: Two insulated charged conducting spheres of radii $20 c m$ and $15 c m$ respectively and having an equal charge of $10 C$ are connected by a copper wire and then they are separated. Then [MP PET 1997]