Motion of a particle in x-y plane is described by a set of following equations $$x = 4\sin \left( {{\pi \over 2} - \omega t} \right)\,m$$ and $$y = 4\sin (\omega t)\,m$$. The path of the particle will be :
Match List-I with List-II
| List-I | List-II | ||
|---|---|---|---|
| (A) | Moment of inertia of solid sphere of radius R about any tangent. | (I) | $${5 \over 3}M{R^2}$$ |
| (B) | Moment of inertia of hollow sphere of radius (R) about any tangent. | (II) | $${7 \over 5}M{R^2}$$ |
| (C) | Moment of inertia of circular ring of radius (R) about its diameter. | (III) | $${1 \over 4}M{R^2}$$ |
| (D) | Moment of inertia of circular disc of radius (R) about any diameter. | (IV) | $${1 \over 2}M{R^2}$$ |
Choose the correct answer from the options given below :
Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA = 2TB. These planets are revolving in the circular orbits of radii rA and rB respectively. Which out of the following would be the correct relationship of their orbits?
A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m. In this process the gain in surface energy will be :
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