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Vectors

The Class XI Physics question paper on Vectors consists of four sections with a total of 25 questions, covering definitions, properties, calculations, and applications of vector quantities. Each section varies in mark allocation, with Section A containing 5 one-mark questions, Section B with 5 two-mark questions, Section C with 12 three-mark questions, and Section D with 3 five-mark questions. Students are instructed to draw diagrams where necessary and calculators are not permitted.

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Abhishek Biswas
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1 views2 pages

Vectors

The Class XI Physics question paper on Vectors consists of four sections with a total of 25 questions, covering definitions, properties, calculations, and applications of vector quantities. Each section varies in mark allocation, with Section A containing 5 one-mark questions, Section B with 5 two-mark questions, Section C with 12 three-mark questions, and Section D with 3 five-mark questions. Students are instructed to draw diagrams where necessary and calculators are not permitted.

Uploaded by

Abhishek Biswas
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Class XI Physics: Vectors Question Paper

Time: 3 hours
Maximum Marks: 70

General Instructions:

1. All questions are compulsory.


2. This question paper has four sections: A, B, C, and D.
3. Section A contains 5 questions of 1 mark each.
4. Section B contains 5 questions of 2 marks each.
5. Section C contains 12 questions of 3 marks each.
6. Section D contains 3 questions of 5 marks each.
7. Draw diagrams wherever necessary. Use of calculator is not permitted.

Section A (1 mark each)

1. Define a vector quantity. Provide an example.


2. What is the magnitude of the unit vector i^?
3. State the triangle law of vector addition.
4. How do you find the direction of a vector in a plane?
5. What is the dot product of two perpendicular vectors?

Section B (2 marks each)

6. Differentiate between scalar and vector quantities with examples.


7. A vector has components 3 units along the x-axis and 4 units along the y-axis. Calculate its
magnitude.
8. Explain the significance of the zero vector.
9. State and prove the commutative property of vector addition.
10. If A⃗=2i^+3j^ and B⃗=−i^+4j^, find A⃗−B⃗.

Section C (3 marks each)

11. Derive the expression for the magnitude of the resultant vector when two vectors A⃗ and B⃗ are
added.
12. Given two vectors A⃗= 5i^+2j^ and B= −3i^+4j^, calculate their dot product.
13. Explain the concept of a position vector. How is it different from a displacement vector?
14. A particle moves from point A (1, 2, 3) to point B (4, 6, 8). Find the displacement vector.
15. If C⃗=3i^+4j^+k^, find the unit vector in the direction of C⃗.
16. Prove that the dot product of two vectors is distributive.
17. What is the significance of the cross product of two vectors? Give an example.
18. Given vectors A⃗=i^−2j^+k^ and B=2i^+j^−k^, find their cross product.
19. Explain the concept of vector projection with an example.
20. Calculate the angle between the vectors A⃗=3i^+4j^ and B=4i^+3j^.
21. Prove that the magnitude of the cross product of two vectors is given by ∣A⃗×B⃗∣=∣A⃗∣∣B⃗∣sinθ.
22. Discuss the physical meaning of the scalar triple product of three vectors.
Section D (5 marks each)

23. Explain the parallelogram law of vector addition. Derive an expression for the resultant vector using
this law.
24. A boat is moving with a velocity of 5 m/s relative to the water in a river flowing at 3 m/s. Determine
the resultant velocity of the boat if it is moving: a) Upstream b) Downstream c) Perpendicular to the
flow of the river
25. Describe the process of resolving a vector into its components. Given a vector R⃗ with magnitude 10
units making an angle of 30° with the x-axis, find its components along the x and y axes.

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