An electric dipole of moment `overset(r )( P) = (hat( i) + 3 hat(j) -5 hat(k ) ) xx 10^(-19 ) Cm` is kept in a electric field `overset( r )( E ) = = ( 2hat( i) - 3 hat( j )+2 hat( k) ) xx 10^(5) V- m`. Find torque experienced by dipole.

Options

A. `( 9 hat( i )+ 12 hat(j ) -9 hat(k)) xx 10^(-14) N -m `
B. `( 9 hat( i )+ 12 hat(j ) +9 hat(k)) xx 10^(-14) N -m `
C. `(- 9 hat( i )- 12 hat(j ) -9 hat(k)) xx 10^(-14) N -m `
D. `(- 9 hat( i )+ 12 hat(j ) -9 hat(k)) xx 10^(-14) N -m `

Explanation

To find the torque experienced by the electric dipole in the electric field, we will use the formula for torque (τ) given by:

\[ \vec{\tau} = \vec{P} \times \vec{E} \]

where:
- \(\vec{P}\) is the electric dipole moment
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