JEE Main 2021 (Online) 26th August Evening Shift | Center of Mass and Collision Question 33 | Physics

JEE Main 2021 (Online) 26th August Evening Shift

MCQ (Single Correct Answer)

-1

A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that $$r = {L \over {\sqrt 2 }}$$. The speed of particle will be :

$${\sqrt {rg} }$$

$${\sqrt {2rg} }$$

$${2\sqrt {rg} }$$

$${\sqrt {{{rg} \over 2}} }$$

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-1

List-I	List-II
(a) MI of the rod (length L, Mass M, about an axis $$ \bot $$ to the rod passing through the midpoint)	(i) $$8M{L^2}/3$$
(b) MI of the rod (length L, Mass 2M, about an axis $$ \bot $$ to the rod passing through one of its end)	(ii) $$M{L^2}/3$$
(c) MI of the rod (length 2L, Mass M, about an axis $$ \bot $$ to the rod passing through its midpoint)	(iii) $$M{L^2}/12$$
(d) MI of the rod (Length 2L, Mass 2M, about an axis $$ \bot $$ to the rod passing through one of its end)	(iv) $$2M{L^2}/3$$

Choose the correct answer from the options given below:

(a)-(ii), (b)-(iii), (c)-(i), (d)-(iv)

(a)-(ii), (b)-(i), (c)-(iii), (d)-(iv)

(a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)

(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-1

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are m, 2m and 2m respectively. A moves towards B with a speed of 9 m/s and makes an elastic collision with it. Thereafter B makes a completely inelastic collision with C. All motions occur along same straight line. The final speed of C is :

JEE Main 2021 (Online) 27th July Morning Shift Physics - Center of Mass and Collision Question 35 English

JEE Main 2021 (Online) 27th July Morning Shift Physics - Center of Mass and Collision Question 35 English

6 m/s

9 m/s

4 m/s

3 m/s

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-1

The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the rtaio of MI of bigger disc around axis AB (Which is $$ \bot $$ to the plane of the disc and passing through its centre) of MI of smaller disc around one of its diameters lying on its plane? Given 'M' is the mass of the larger disc. (MI stands for moment of inertia)

JEE Main 2021 (Online) 27th July Morning Shift Physics - Center of Mass and Collision Question 36 English