Q.

If F→ is the force acting on a particle having position vector r→ and τ→ be the torque of this force about the origin, then

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a

r→.τ→ not equal to zero and F→.τ→ = 0

b

r→.τ→ > 0 and F→.τ→<0

c

r→.τ→= 0  and F→.τ→ = 0

d

r→.τ→ = 0 abd F→.τ→ not equal to zero

answer is C.

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Detailed Solution

Torque is an axial vector, i.e., its direction is always perpendicular to the plane containing vectors r→ and F→.τ→ = r→ ×F→Torque is perpendicular to both r→ and F→τ→.r→ = 0F→.τ→ = 0
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If F→ is the force acting on a particle having position vector r→ and τ→ be the torque of this force about the origin, then