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Two small metal balls of different mass ...

Two small metal balls of different mass `m_(1)` and `m_(2)` are connected by strings of equal length to a fixed point. When the balls are given equal charges, the angles that the two strings make with the vertical are `30^(@)` and `60^(@)`, respectively. The ratio `m_(1)//m_(2)` is close to -

A

`1.7`

B

`3.0`

C

`0.58`

D

`2.0`

Text Solution

Verified by Experts

The correct Answer is:
A

`m_2 g sin 60^@ = F cos 45^@ " "....(i)`
`m_1 g sin 30^@ = F cos 45^@ " "....(ii)`
On dividing eq. (i) by (ii)
`m_1/m_2=(sin60)/(sin30)=(sqrt3//2)/(1//2)=1.732`
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