1.

A charged cork of mass m suspended by a light string is placed in uniform electric field filed of strength E = (hati+hatj) xx 10^(5)NC^(-1) as shown in the figure. If in equilibrium position tension in the string is 2mg//(1+sqrt3) the angle alpha with the vertical can be

Answer»

`60^@`
`30^@`
`45^@`
`18^@`

SOLUTION :a.,b.
`E_(X)=E_(y)=10^(5)NC^(-1)`
`qE_(x)=T SIN a`,
`qE_(y)=mg -T cos a`
Dividing `(E_(x))/(E_(y))=(Tsin a)/(mg-T cos a)`
or `mg-T cos a=T sin a`
or `mg=(2mg)/(1+sqrt(3))(cosa+sin a)`
or `OCS a+sin a=(sqrt(3)+1)/(2),rArra=30^(@)` or `60^(@)`


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