An electric dipole, when held at 60° with respect to a uniform electric field of 107 NC -1 experience a torque of 12 × 10-20 N - m . What is the value of dipole moment?

Question

An electric dipole, when held at 60° with respect to a uniform electric field of 107 NC -1 experience a torque of 12 × 10-20 N - m . What is the value of dipole moment? (A) 1.4 × 10-26 C - m (B) 8 × 10-27 C - m (C) 3 × 10-26 C - m (D) 1.4 × 10-27 C - m

Tardigrade Admin · Accepted Answer

τ= pE sin θ 12 × 10-20= p × 107 × (√3/2) ∴ p =(2 × 12 × 10-20/107 × 1.73) =1.4 × 10-26 C - m

Q. An electric dipole, when held at $6 0^{\circ}$ with respect to a uniform electric field of $1 0^{7} N C^{- 1}$ experience a torque of $12 \times 1 0^{- 20} N - m .$ What is the value of dipole moment?

$1.4 \times 1 0^{- 26} C - m$

$8 \times 1 0^{- 27} C - m$

$3 \times 1 0^{- 26} C - m$

$1.4 \times 1 0^{- 27} C - m$

$τ = pE sin θ$
$12 \times 1 0^{- 20} = p \times 1 0^{7} \times \frac{3}{2}$
$∴ p = \frac{2 \times 12 \times 1 0 ^{- 20}}{1 0 ^{7} \times 1.73}$
$= 1.4 \times 1 0^{- 26} C - m$

Q. An electric dipole, when held at 60∘ with respect to a uniform electric field of 107NC−1 experience a torque of 12×10−20N−m. What is the value of dipole moment?

1.4×10−26C−m

8×10−27C−m

3×10−26C−m

1.4×10−27C−m