Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsElectric Field & ForceHard2 minPYQ_2021

PhysicsHardnumerical

Two small spheres each of mass $10 mg$ are suspended from a point by threads $0.5 m$ long. They are equally charged and repel each other to a distance of $0.20 m$ . The charge on each of the sphere is $\frac{a}{21} \times 10^{- 8} C .$ The value of $a$ will be ___.[Given $g = 10 m s^{- 2}$ ]

Answer:

20.00

Solution:

$T \cos θ = m g = 10 \times 10^{- 6} \times 10 = 10^{- 4}$

$T \sin θ = \frac{9 \times 10^{9} \times q^{2}}{0.04} = F$

$\tan θ = = \frac{0.1}{\sqrt{0.24}} = \frac{F}{m g}$

$q = \frac{2 \sqrt{10}}{3 \sqrt{\sqrt{24}}} \times 10^{- 8}$

$0.95 \times 10^{- 8} = \frac{a}{21} \times 10^{- 8}$

$a = 20$

Stream:JEESubject:PhysicsTopic:ElectrostaticsSubtopic:Electric Field & Force

⏱ 2mℹ️ Source: PYQ_2021

Doubts & Discussion

Loading discussions...