NEET Questions - Physics - Mathematical Tools

Pratcice NEET questions from all capters from huge question bank for free. All MCQs are based on NCERT syllabus. To practice from a specific subject and chapter, select a subject below. Login to practice in a structured way with explanations, bookmarks, lists, notes etc. Click here to Login or Sign up for free.

Physics Chemistry Botany Zoology

Question bank:

Component of $3 \hat{i} + 4 \hat{j}$ perpendicular to $\hat{i} + \hat{j}$ and in the same plane as that of $3 \hat{i} + 4 \hat{j}$ is:

\frac{1}{2} (\hat{j} - \hat{i})

\frac{3}{2} (\hat{j} - \hat{i})

\frac{5}{2} (\hat{j} - \hat{i})

\frac{7}{2} (\hat{j} - \hat{i})

Given that $\overset{⇀}{C} = \overset{⇀}{A} + \overset{⇀}{B} and \overset{⇀}{C}$ makes an angle $α with \overset{⇀}{A} and β with \overset{⇀}{B}$ . Which of the following options is correct?

α cannot be less then β

α < β, if A < B

α < β, if A > B

α < β, if A = B

If the angle between the vector $\vec{A} a n d \vec{B}$ is $θ$ , the value of the product $(\vec{B} \times \vec{A}) . \vec{A}$ is equal to:

B A^{2} \cos θ

B A^{2} \sin θ

B A^{2} \sin θ \cos θ

zero

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

90°
45°
180°
0°

A force of 6 N and another of 8 N can be applied together to produce the effect of a single force of -

1 N
11 N
15 N
20 N

Which of the sets given below may represent the magnitude of resultant of three vectors adding to zero?

2, 4, 8
4, 8, 16
1, 2, 1
0.5, 1, 2

A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or to the right by $90 ° .$ After walking a total of 40 steps the maximum possible displacement of the person from his starting position could be -

320 m

32 m

16 / \sqrt{2} m

16 \sqrt{2} m

A truck travelling due north with 20m/s turns towards west and travels at the same speed. Then the change in velocity is -

40 m/s north-west

20 \sqrt{2}

m/s north-west
40 m/s south-west

20 \sqrt{2}

m/s south-west

A particle is moving in a circle of radius r centered at O with constant speed v. The change in velocity moving from A to B $(∠ AOB = 40 °)$ is -

2 v \cos 40 °

2 v \sin 40 °

2 v \cos 20 °

2 v \sin 20 °

If $\vec{A} = \vec{B} + \vec{C}$ and magnitudes of A, B and C are 5, 4 and 3 units respectively, the angle between A and C is -

\sin^{- 1} (3 / 4)

\cos^{- 1} (4 / 5)

\cos^{- 1} (3 / 5)

π / 2

What is the resultant of three coplanar forces: $300 N$ at $0 °$ , $400 N$ at $30 °$ and $400 N$ at $150 °$ ?

500 N

700 N

1100 N

300 N

Two forces, $F_{1}$ and $F_{2}$ are acting on a body. One force is doubled of the other force and the resultant is equal to the greater force. Then the angle between the two forces is -

\cos^{- 1} (1 / 2)

\cos^{- 1} (- 1 / 2)

\cos^{- 1} (- 1 / 4)

\cos^{- 1} (1 / 4)

What displacement must be added to the displacement $25 \hat{i} - 6 \hat{j} m$ to give a displacement of $7.0 m$ pointing in the x-direction?

18 \hat{i} - 6 \hat{j}

32 \hat{i} - 13 \hat{j}

- 18 \hat{i} + 6 \hat{j}

- 25 \hat{i} + 13 \hat{j}

The value of unit vector in the direction of vector $A = 5 \hat{i} - 12 \hat{j}$ , is -

\hat{i}

\hat{j}

(\hat{i} + \hat{j}) / 13

(5 \hat{i} - 12 \hat{j}) / 13

A man rows a boat with a speed of $18 km / hr$ in northwest direction. The shoreline makes an angle of $15 °$ south of west. Obtain the component of the velocity of the boat along the shoreline.

9 km / hr

18 \frac{\sqrt{3}}{2} km / hr

18 \cos 15 ° km / hr

18 \cos 75 ° km / hr

NEET Physics Questions: Mathematical Tools

Question bank:

Component of 3i^+4j^ perpendicular to i^+j^ and in the same plane as that of 3i^+4j^ is:

Given that C ⇀= A⇀ + B⇀ and C⇀ makes an angle α with A⇀ and β with B⇀. Which of the following options is correct?

If the angle between the vector A→ and B→ is θ, the value of the product B→×A→.A→ is equal to:

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

A force of 6 N and another of 8 N can be applied together to produce the effect of a single force of -

Which of the sets given below may represent the magnitude of resultant of three vectors adding to zero?

A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or to the right by 90°. After walking a total of 40 steps the maximum possible displacement of the person from his starting position could be -

A truck travelling due north with 20m/s turns towards west and travels at the same speed. Then the change in velocity is -

A particle is moving in a circle of radius r centered at O with constant speed v. The change in velocity moving from A to B ∠AOB=40° is -

If A→=B→+C→ and magnitudes of A, B and C are 5, 4 and 3 units respectively, the angle between A and C is -

What is the resultant of three coplanar forces: 300 N at 0°, 400 N at 30° and 400 N at 150°?

Two forces, F1 and F2 are acting on a body. One force is doubled of the other force and the resultant is equal to the greater force. Then the angle between the two forces is -

What displacement must be added to the displacement 25 i^-6 j^ m to give a displacement of 7.0 m pointing in the x-direction?

The value of unit vector in the direction of vector A=5 i^-12 j^, is -

A man rows a boat with a speed of 18 km/hr in northwest direction. The shoreline makes an angle of 15° south of west. Obtain the component of the velocity of the boat along the shoreline.