The position vector of a particle R → as a function of time is given by R → = 4 sin ( 2 π t ) i ^ + 4 cos ( 2 π t ) j ^ , where R is in meters, t in seconds ; i ^ and j ^ denote unit vectors along x and Y directions, respectively. Which of the following statements is wrong for the motion of the particle?

Magnitude of the velocity of the particle is 8 metre/second.

Path of the particle is a circle of radius 4 metre.

Acceleration vector is along - R →

Magnitude of acceleration vector is v 2 R , where v is the velocity of the particle.

E M B I B E

Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-2>Q 72

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Assertion : If separation between two particles does not change then their relative velocity, will be zero.

Reason : Relative velocity is the rate of change of velocity of one particle w.r.t. another.

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Important Questions on Kinematics

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IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-2>Q 73

Assertion : If speed of two particles is increasing at the same rate then their relative velocity will be constant.

Reason : If the acceleration vector of the two particles is same then their relative acceleration will be non-zero.

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 1

A particle moves in a circle of radius

5 c m

with constant speed and time period

0.2 π s .

The acceleration of the particle is

HARD

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IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 2

The position vector of a particle

\vec{R}

as a function of time is given by

\vec{R} = 4 \sin (2 π t) \hat{i} + 4 \cos (2 π t) \hat{j}

, where

R

is in meters,

t

in seconds ;

\hat{i}

and

\hat{j}

denote unit vectors along

x

and

Y

directions, respectively. Which of the following statements is wrong for the motion of the particle?

EASY

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IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 4

A missile is fired for maximum range with an initial velocity of

20 m / s

. If

g = 10 m / s^{2}

, the range of the missile is

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IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 5

A projectile is fired at an angle of

45 °

with the horizontal. The elevation angle of the projectile at its highest point as seen from the point of projection is___

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 6

The horizontal range and maximum height of a projectile are equal. The angle of projection of the projectile is___

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 7

A particle has initial velocity

2 \hat{i} + 3 \hat{j} unit

and acceleration

0.3 \hat{i} + 0.2 \hat{j} unit

The magnitude of velocity after

10 s

will be :

EASY

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IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 8

The velocity of a projectile at the initial point $A$ is $(2 \hat{i} + 3 \hat{j}) m s^{- 1} .$ It's velocity (in $m s^{- 1}$ ) at point $B$ is:

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Assertion : If separation between two particles does not change then their relative velocity, will be zero. Reason : Relative velocity is the rate of change of velocity of one particle w.r.t. another.

Important Questions on Kinematics

Learn and Prepare for any exam you want !

Assertion : If separation between two particles does not change then their relative velocity, will be zero.

Reason : Relative velocity is the rate of change of velocity of one particle w.r.t. another.