1

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

A rod of length L has non-uniform linear mass

density given by $$\rho $$(x) = $$a + b{\left( {{x \over L}} \right)^2}$$ , where a

and b are constants and 0 $$ \le $$ x $$ \le $$ L. The value

of x for the centre of mass of the rod is at :

density given by $$\rho $$(x) = $$a + b{\left( {{x \over L}} \right)^2}$$ , where a

and b are constants and 0 $$ \le $$ x $$ \le $$ L. The value

of x for the centre of mass of the rod is at :

2

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

A particle of mass m is projected with a speed
u from the ground at an angle
$$\theta = {\pi \over 3}$$ w.r.t.
horizontal (x-axis). When it has reached its
maximum height, it collides completely
inelastically with another particle of the same
mass and velocity $$u\widehat i$$ . The horizontal distance
covered by the combined mass before reaching
the ground is:

3

JEE Main 2020 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Two particles of equal mass m have respective

initial velocities $$u\widehat i$$ and $$u\left( {{{\widehat i + \widehat j} \over 2}} \right)$$.

They collide completely inelastically. The energy lost in the process is :

initial velocities $$u\widehat i$$ and $$u\left( {{{\widehat i + \widehat j} \over 2}} \right)$$.

They collide completely inelastically. The energy lost in the process is :

4

JEE Main 2020 (Online) 8th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

As shown in figure, when a spherical cavity
(centered at O) of radius 1 is cut out of a uniform
sphere of radius R (centered at C), the centre of
mass of remaining (shaded) part of sphere is at
G, i.e, on the surface of the cavity. R can be
detemined by the equation :

Questions Asked from Center of Mass and Collision (MCQ (Single Correct Answer))

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