A vector perpendicular to $\left(4\stackrel{^}{\mathrm{i}}-3\stackrel{^}{\mathrm{j}}\right)$ is -

(A)  $4\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}$

(B)  $7\stackrel{^}{\mathrm{k}}$

(C)  $6\stackrel{^}{\mathrm{i}}$

(D)  $3\stackrel{^}{\mathrm{i}}-4\stackrel{^}{\mathrm{j}}$

Concept Questions :-

Scalar Product
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Angle that the vector $\mathrm{A}=2\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}$ makes with y-axis is -

(A)

(B)

(C)

(D)

Concept Questions :-

Scalar Product
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A vector A points, vertically upward and, B points towards north. The vector product $\mathrm{A}×\mathrm{B}$ is -

1.  along west

2.  along east

3.  zero

4.  vertically downward

Concept Questions :-

Vector Product
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The linear velocity of a rotating body is given by $\mathrm{v}=\mathrm{\omega }×\mathrm{r}$, where $\mathrm{\omega }$ is the angular velocity and r is the radius vector. The angular velocity of a body $\mathrm{\omega }=\stackrel{^}{\mathrm{i}}-2\stackrel{^}{\mathrm{j}}+2\stackrel{^}{\mathrm{k}}$ and their radius vector  is -

(A)

(B)

(C)

(D)

Concept Questions :-

Vector Product
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The displacement x of a particle along a straight line at time t is given by $\mathrm{x}={\mathrm{a}}_{0}+{\mathrm{a}}_{1}\mathrm{t}+{\mathrm{a}}_{2}{\mathrm{t}}^{2}$. The acceleration of the particle is

(A)  ${\mathrm{a}}_{0}$

(B)  ${\mathrm{a}}_{1}$

(C)  $2{\mathrm{a}}_{2}$

(D)  ${\mathrm{a}}_{2}$

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The displacement of a particle is given by $\mathrm{y}=\mathrm{a}+\mathrm{bt}+{\mathrm{ct}}^{2}-{\mathrm{dt}}^{4}$. The initial velocity and acceleration are respectively

(A)  b, -4d

(B)  -d, 2c

(C)  b, 2c

(D)  2c, -4d

Concept Questions :-

Differentiation

Difficulty Level:

The momentum is given by p=4t+1, the force at t=2s is

(A)  4 N

(B)  8 N

(C)  10 N

(D)  15 N

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle moves along a straight line such that its displacement at any time t is given by  metres. The velocity when the acceleration is zero is:

(A)

(B)

(C)

(D)

Difficulty Level:

The position x of particle varies with time t as $\mathrm{x}={\mathrm{at}}^{2}-{\mathrm{bt}}^{3}$. The acceleration of the particle will be zero at time equal to

(A)  $\frac{\mathrm{a}}{\mathrm{b}}$

(B)  $\frac{2\mathrm{a}}{\mathrm{b}}$

(C)  $\frac{\mathrm{a}}{3\mathrm{b}}$

(D)  Zero

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A body is moving according to the equation $\mathrm{x}=\mathrm{at}+{\mathrm{bt}}^{2}-{\mathrm{ct}}^{3}$ where x = displacement and a, b and c are constants. The acceleration of the body is

(A)  $\mathrm{a}+2\mathrm{bt}$

(B)  $2\mathrm{b}+6\mathrm{ct}$

(C)  $2\mathrm{b}-6\mathrm{ct}$

(D)  $3\mathrm{b}-6{\mathrm{ct}}^{2}$

Concept Questions :-

Differentiation