Assume same mass and radius for all bodies and pure rolling takes place when it comes down and reaches bottom. Column-IColumn-IIColumn-III(I) Solid sphere(i) has greatest Rotational Kinetic Energy(P) has highest velocity(II) Hollow sphere(ii) has least Rotational Kinetic Energy(Q) has highest acceleration(III) Ring(iii) has greatest Translational Kinetic Energy(R) None of the above(IV) Disc(iv) has least Translational Kinetic Energy(S) takes least time

Assume same mass and radius for all bodies and pure rolling takes place when it comes down and reaches bottom.

Column-I	Column-II	Column-III
(I) Solid sphere	(i) has greatest Rotational Kinetic Energy	(P) has highest velocity
(II) Hollow sphere	(ii) has least Rotational Kinetic Energy	(Q) has highest acceleration
(III) Ring	(iii) has greatest Translational Kinetic Energy	(R) None of the above
(IV) Disc	(iv) has least Translational Kinetic Energy	(S) takes least time

Linked Question 1

Find the right combination

(III) (ii) (S)

(I) (i) (S)

(III) (i) (S)

(I) (ii) (R)

No Solution

Linked Question 2

Find the right combination

(III) (iii) (P)

(III) (i) (R)

(III) (ii) (R)

(III) (iv) (R)

From force and torque equations to get

$t = \sqrt{\frac{2 gh}{gsinθ}} \sqrt{1 + \frac{I}{{MR}^{2}}}; V = \sqrt{\frac{zgh}{1 + \frac{I}{{MR}^{2}}}}; a = \frac{gsinθ}{1 + \frac{I}{{MR}^{2}}}$

$K . E_{T} = \frac{1}{2} {MV}^{2}; K . E_{R} = \frac{1}{2} = I w^{2}$

$For solid sphere \frac{I}{{MR}^{2}} = \frac{2}{5} for hollow sphere \frac{I}{{MR}^{2}} = \frac{2}{3}$

$For Ring \frac{I}{{MR}^{2}} = 1 For Disc \frac{I}{{MR}^{2}} = \frac{1}{2}$

Put values and find the right combination

Linked Question 3

Find the right combination

(III) (iv) (Q)

(I) (iii) (R)

(II) (ii) (R)

(II) (ii) (S)

No solutions