JEE PHYSICS MCQ: MOTION IN PLANE

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Analyzing +4 | -1

Assertion (A): Particle

A

is projected upwards. Simultaneously particle

B

is projected as projectile as shown. Particle

A

returns to ground in

4 \mathrm{~s}

. At the same time particle

B

collides with

A

. Maximum height

H

attained by

B

would be

20 \mathrm{~m} .\left(g=10 \mathrm{~ms}^{-2}\right)

Reason (R) : Speed of projection of both the particles should be same under the given condition.

View answer and explanation

Correct option: C

If Assertion is true, but the Reason is false.

Option C (If Assertion is true, but the Reason is false) is correct because the maximum height attained by B is indeed 20m, but the speeds of projection of the two particles are not necessarily the same.

More Questions from MOTION IN PLANE

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Given,

\mathrm{\vec P} = \mathrm{\vec A} + \mathrm{\vec B}\,\,\mathrm{and}\,P = A + B.

The angle between

\mathrm{\vec A}\,and\,\mathrm{\vec B}

is Assertion: The necessary condition for motion in two dimensions, velocity and acceleration vectors should have any angle between

0^{\circ}

and

90^{\circ}

between them.
Reason: For two-dimensional or three-dimensional motion, velocity and acceleration of an object works in opposite direction.

\mathrm{If}\,(\mathbf{a}+3 \mathbf{b}) \cdot(7 \mathbf{a}-5 \mathbf{b})=0

and

(\mathbf{a}-4 \mathbf{b}) \cdot(7 \mathbf{a}-2 \mathbf{b})=0

. Then, the angle between

\mathbf{a}

and

\mathbf{b}

is At the top of the trajectory of a projectile, the direction of its velocity and acceleration are A ball is thrown at an angle

\theta

and another ball is thrown at an angle

\left(90^{\circ}-\theta\right)

with the horizontal direction from the same point with velocity

39.2 \mathrm{~ms}^{-1}

. The second ball reaches

50 \mathrm{~m}

higher than the first ball. Find their individual heights. Take

{g}=9.8 \mathrm{~ms}^{-2}

. Assertion: The drover in a vehicle moving with a constant speed on a straight road is in a non-inertial frame of reference.

Reason: A reference frame in which Newton's laws of motion are applicable is non-inertial.