An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is $1/3$. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha $ with the vertical, the maximum possible value $\alpha $ is given by
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is $1/3$. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha $ with the vertical, the maximum possible value $\alpha $ is given by
- A
$cot\,\alpha \, = \,3$
- B
$tan \,\alpha \, = \,3$
- C
$sec\,\alpha \, = \,3$
- D
$cosec \,\alpha \, = \,3$
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