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Two equal charges q are kept fixed at a and +a along the x-axis. A particle of mass m and charge q/2 is brought to the origin and given a small displacement along the x-axis then |
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Answer» the particle executes oscillartory motion  `F=1/(4 epsilon_(0))(q_(1)q_(2))/(r^(2))` `F=1/(4pi epsilon_(0))(qxxq/2)/((a+x)^(2))-1/(4piepsilon_(0)).(qxxq/2)/((a-x)^(2))` `=1/(4piepsilon_(0))(q^(2))/2[1/((a+x)^(2))-1/((a-x)^(2))]` `=1/(4piepsilon_(0).(q^(2))/2 [-(4AX)/((a^(2)-x^(2))^(2))]` When `x lt lt a`, then `F=-(2q^(2))/(4piepsilon_(0)a^(3))ximpliesF PROP -x` Hence SHM isaklong `x`-axis. |
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