For the situation shown in the figure below ("assume "`r gtgt` length fo dispole ) mark out the correct statement (s) -
.

Options

A. Force acting on the dipole is zero
B. Force acting on the dipole is approximately ` (PQ)/(4 pie_(0) r^(2))` and is acting upward
C. Torque acting on the dipole is ` (pq)/(4 pi e_(0)r^(2))` clockwise direction
D. Torque acting on the dipole is `(pQ)/(4 pi e_(0)r^(2))` in ant i-clockwise direction

Answer

B, C

Explanation

(A) Force on charge due to diple
`vec F =Qvec E rArr = Q. 1/(4 pi in0) p/r^3`
` F= (pQ)/(4 pi in_0 r^3)` acting downward
so force on diple will be equal and oppositede
(C ) `vec tau = vec P xx P ( hat j ) xx 1/(4 pi in_0) Q/r^2 hat i`
`vec tau = 1/(4 pi in0) (pQ)/r^3 (-hat k)`.