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Q.

Let $\bar{F}$ be the force acting on a particle having position vector $\vec{r} & \vec{T}$ be the torque of this force about the origin. Then

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a

$\vec{r} . \vec{T} = 0 and \vec{F} . \vec{T} = 0$

b

$\vec{r} . \vec{T} = 0 and \vec{F} . \vec{T} \neq 0$

c

$\vec{r} . \vec{T} \neq 0 and \vec{F} . \vec{T} = 0$

d

$\vec{r} . \vec{T} \neq 0 and \vec{F} . \vec{T} \neq 0$

answer is A.

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Detailed Solution

$\vec{T} = \vec{r} \times \vec{F}$

$\vec{r} \cdot \vec{T} = 0 and \vec{F} \cdot \vec{T} = 0$

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