A particle starting from rest at the highest point slides down the...

A particle starting from rest at the highest point slides down the outside of a smooth vertical circular track of radius 0.3 m . When it leaves the track its vertical fall is

h

and the linear velocity is

v

. The angle made by the radius at that position of the particle with the vertical is

\theta

. Now consider the following observations:

\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)

(I)

h=0.1 \mathrm{~m}

and

\cos \theta=\frac{2}{3}

. (II)

h=0.2 \mathrm{~m}

and

\cos \theta=1 / 3

. (III)

v=\sqrt{2} \mathrm{~ms}^{-1}

. (IV) After leaving the circular track the particle will describe a parabolic path. Therefore

Options

A(I) and (III) both are correct.
Bonly (II) is incorrect.
Conly (III) is correct.
D(IV) is correct.

Correct answer

D. (IV) is correct.

Step-by-step solution

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