When the following bodies of same radius starts rolling down on same inclined plane, identify the decreasing order of their time of descent:
I) Solid cylinder
II) Hollow cylinder
III) Hollow sphere
IV) Solid sphere

I V, I, I I I, I I

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I I, I I I, I, I V

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I, I V, I I I, I I

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I I, I I I, I V, I

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Solution

The correct option is A $I I, I I I, I, I V$
$t_{s o l i d s p h e r e} < t_{s o l i d c y l i n d e r} < t_{h o l l o w s p h e r e} < t_{h o l l o w c y l i n d e r}$
Hence from the given option, B is the correct one.

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H_{2} S O_{4}

M

Column-I	Column-II
i. Thin uniform hollow cylinder of radius $R$	p. $\frac{2}{5} M R^{2}$
ii. Uniform solid sphere of radius $R$	q. $\frac{2}{3} M R^{2}$
iii. Uniform rectangular lamina of length $l$ and breadth $b$	r. $M R^{2}$
iv. Thin uniform hollow sphere of radius $R$	s. $M (\frac{l^{2} + b^{2}}{12})$

50^{\circ}

Order of decreasing acidity of the following is

(I) HCOOH

(II) ${C H}_{3} C O O H$

(III) ${C l}_{2} C H C O O H$

(IV) ${C F}_{3} C O O H$

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