RRB Paramedical Staff Nurse Model Paper 4

Question : 98 of 100

Marks: +1, -0

Two similar spheres having +q and -q charge are kept at a certain distance. F force acts between the two. If in the middle of two spheres, another similar sphere having +q charge is kept, then it experiences a force whose magnitude and direction are

Zero having no direction
8F towards +q charge
8F towards -q charge
4F towards +q charge

Validate

Solution:

Initially, force between A and C

F=K \;{Q^{2}}/{r^{2}}

When a similar sphere B having charge +Q is kept at the mid point of line joining A and C. then Net force on B is

F_{n e t}=F_{A}+F_{C}=K \;{Q^{2}}/{(\;{r}/{2})}+\;{K Q^{2}}/{(\;{r}/{2})^{2}}=8 \;{K Q^{2}}/{r^{2}}=8 F

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