If vector  and $\stackrel{\to }{\mathrm{R}}$ have magnitude 5, 12 and 13 units and $\stackrel{\to }{\mathrm{P}}+\stackrel{\to }{\mathrm{Q}}=\stackrel{\to }{\mathrm{R}}$ the angle between $\stackrel{\to }{\mathrm{Q}}$ and $\stackrel{\to }{\mathrm{R}}$ is -

(A)

(B)

(C)

(D)

Concept Questions :-

Resultant of Vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The vector having a magnitude of 10 and perpendicular to the vector $3\stackrel{^}{\mathrm{i}}-4\stackrel{^}{\mathrm{j}}$ is

1. $4\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}$

2.

3. $8\stackrel{^}{\mathrm{i}}+6\stackrel{^}{\mathrm{j}}$

4.  $8\stackrel{^}{\mathrm{i}}-6\stackrel{^}{\mathrm{j}}$

Concept Questions :-

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

Difficulty Level:

A force $\stackrel{\to }{\mathrm{F}}=3\stackrel{^}{\mathrm{i}}+\mathrm{c}\stackrel{^}{\mathrm{j}}+2\stackrel{^}{\mathrm{k}}$ acting on a particle causes a displacement $\stackrel{\to }{\mathrm{d}}=-4\stackrel{^}{\mathrm{i}}+2\stackrel{^}{\mathrm{j}}+3\stackrel{^}{\mathrm{k}}$. If the work done is 6J then the value of 'c' is

(A)  12

(B)  0

(C)  6

(D)  1

Concept Questions :-

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

Difficulty Level:

A particle moving along a straight line according to the law $\mathrm{x}=\mathrm{At}+{\mathrm{Bt}}^{2}+{\mathrm{Ct}}^{3}$, where x is its position measured from a fixed point on the line and t is the time elapsed till it reaches position x after starting from the fixed point. Here A, B and C are positive constants.

(A)  Its velocity at t=0 is A

(B)  Its acceleration at t=0 is B

(C)  Its velocity at t=0 is B

(D)  Its acceleration at t=0 is C

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If the velocity of a particle moving on x-axis is given by $\mathrm{v}=3{\mathrm{t}}^{2}-12\mathrm{t}+6$. At which time is the acceleration of particle zero?

(A)  $2$ sec

(B)  $2+\sqrt{2}$ sec

(C)  $2-\sqrt{2}$ sec

(D)  zero

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Momentum of a body moving in a straight line is . Find the force acting on a body at t=2 sec

(A)  6 N

(B)  8 N

(C)  4 N

(D)  2 N

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle moves along straight line such that at time t its position from a fixed point O on the line is $\mathrm{x}=3{\mathrm{t}}^{2}-2$. The velocity of the particle when t=2 is:

(A)

(B)

(C)

(D)  $0$

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Coordinates of a moving particle are given by $\mathrm{x}={\mathrm{ct}}^{2}$ and $\mathrm{y}={\mathrm{bt}}^{2}$. The speed of the particle is given by

(A)

(B)

(C)

(D)

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The x and y components of vector $\stackrel{\to }{\mathrm{A}}$ are 4m and 6m respectively. The x, y components of vector $\stackrel{\to }{\mathrm{A}}+\stackrel{\to }{\mathrm{B}}$ are 10m and 9m respectively. The length of $\stackrel{\to }{\mathrm{B}}$ is ______ and angle that $\stackrel{\to }{\mathrm{B}}$ makes with the x axis is given by _______.

(A)

(B)

(C)

(D)

Concept Questions :-

Resultant of Vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle travels with speed 50 m/s from the point (3, 7) in a direction $7\stackrel{^}{\mathrm{i}}-24\stackrel{^}{\mathrm{j}}$. Find its position vector after 3 seconds.

(A)  $151\stackrel{^}{\mathrm{i}}+45\stackrel{^}{\mathrm{j}}$

(B)  $45\stackrel{^}{\mathrm{i}}-137\stackrel{^}{\mathrm{j}}$

(C)  $151\stackrel{^}{\mathrm{i}}+45\stackrel{^}{\mathrm{j}}$

(D)  $4.5\stackrel{^}{\mathrm{i}}-151\stackrel{^}{\mathrm{j}}$

Concept Questions :-

Resultant of Vectors