SATHEE: Electrostatics Question 675

Electrostatics Question 675

Question: Two balls of same mass and carrying equal charge are hung from a fixed support of length l. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, x between the balls is proportional to:

Options:

A) l

B) $l^{2}$

C) $l^{2 / 3}$

D) $l^{1 / 3}$

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Answer:

Correct Answer: D

Solution:

[d] In equilibrium, $F_{e} = T \sin θ$

$m g = T \cos θ$

$\tan θ = \frac{F_{e}}{m g} = \frac{q^{2}}{4 π \in_{0} x^{2} \times m g}$

$also \tan θ \approx \sin = \frac{x / 2}{l}$

$Hence, \frac{x}{2 l} = \frac{q^{2}}{4 π \in_{0} x^{2} k t}$

$\Rightarrow x^{3} = \frac{2 q^{2} l}{4 π \in_{0} m g} ∴ x = {(\frac{q^{2} l}{2 π \in_{0} m g})}^{1 / 3}$

$\Rightarrow x \propto l^{1 / 3}$

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Electrostatics Question 675

Question: Two balls of same mass and carrying equal charge are hung from a fixed support of length l. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, x between the balls is proportional to:

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 675

Question: Two balls of same mass and carrying equal charge are hung from a fixed support of length l. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, x between the balls is proportional to:

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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