1

JEE Main 2021 (Online) 24th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

A particle is projected with velocity v

_{0}along x-axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin i.e. ma = $$-$$ $$\alpha$$x^{2}. The distance at which the particle stops :2

JEE Main 2020 (Online) 6th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

A particle moving in the xy plane experiences a velocity dependent force

$$\overrightarrow F = k\left( {{v_y}\widehat i + {v_x}\widehat j} \right)$$ , where v

x and y components of its velocity $$\overrightarrow v $$ . If $$\overrightarrow a $$ is the

acceleration of the particle, then

which of the following statements is true for the particle?

$$\overrightarrow F = k\left( {{v_y}\widehat i + {v_x}\widehat j} \right)$$ , where v

_{x}and v_{y}are thex and y components of its velocity $$\overrightarrow v $$ . If $$\overrightarrow a $$ is the

acceleration of the particle, then

which of the following statements is true for the particle?

3

JEE Main 2020 (Online) 6th September Morning Slot

MCQ (Single Correct Answer)

+4

-1

An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts
slipping after it is at height h from the bottom. If the coefficient of friction between the ground and
the insect is 0.75, then h is :

(g = 10 ms

(g = 10 ms

^{–2})4

JEE Main 2020 (Online) 5th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

A spaceship in space sweeps stationary
interplanetary dust. As a result, its mass

increases at a rate $${{dM\left( t \right)} \over {dt}}$$ = bv

increases at a rate $${{dM\left( t \right)} \over {dt}}$$ = bv

^{2}(t), where v(t) is its instantaneous velocity. The instantaneous acceleration of the satellite is :Questions Asked from Laws of Motion (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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