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Two pith balls of mass 10mg each are sus...

Two pith balls of mass 10mg each are suspended by two threads from the same support are charged identically. They move apart by 0.08m and threads make an angle `60^@` with each other. Find the charge on each pith ball

Text Solution

Verified by Experts


In the fig
`F = T sin 30^@ ` …(1)
`mg = T cos 30^@` …(2)
equation `1/2 rArr (F)/(mg) = tan 30^@`
` F = mg tan 30^@`
`(1)/(4pi epsi_0) (q^2)/(r^2) = mg tan 30^@`
`9 xx 10^9 xx (q^2)/(r^2) = 10 xx 10^(-6) xx 9.8 xx 0.5773`
`9 xx 10^9 xx (q^2)/((0.08)^2) = 56.58 xx 10^(-6)`
`q^2 = 0.0402 xx 10^(-15)`
` q^2 = 40.2 xx 10^(-18)`
`q = 6.34 nC`
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