FSc ICS Notes Physics XI Chapter 02 (1-10) Vectors and Equilibrium Exercise Short Questions

FSc ICS Notes Physics XI Chapter 02 (1-10) Vectors and Equilibrium Exercise Short Questions 1st Year Physics Notes Online Taleem Ilm Hub

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Question 2.1 Define the terms (i) unit vector (ii) Position vector (iii) Components of a vector?

Answer 2.1 Definition of these terms is given below

1. Unit Vector: A unit vector in a given direction is a vector with magnitude one in that direction.
2. Position Vector: The position vector r is a vector that describes the location of a particle with respect to the origin.
3. Components of a vector: A component of a vector is its effective value in a given direction.

Question 2.2 The vector sum of three vectors gives a zero resultant. What can be the orientation of the vectors?
Answer 2.2 If three vectors are drawn, to make a closed triangle, then their vector sum will be zero.

Question 2.3 Vector A lies in the xy plane. For what orientation will both of its rectangular components be negative? For what orientation will its components have opposite signs?

Answer 2.3 Orientation of a vector having components negative and opposite is given below:

1. Vector A lies in 3rd quadrant, its rectangular components will be negative. 
2. When the vector will lie in 2nd or 4th quadrant, its components will have opposite signs.

Question 2.4 If one of the rectangular components of a vector is not zero, can its magnitude be zero? Explain.
Answer 2.4 No. Its magnitude cannot be zero, when one of the components of the vector is not zero. E.g. if      Ax ≠0 & Ay = 0 then A = √ ((Ax) 2 + (0)2) = √ (Ax) 2 = Ax ≠ 0

Question 2.5 Can a vector have a component greater than the vector’s magnitude?
Answer 2.5 No. A vector cannot have a component greater than the vector’s magnitude. 

                                              As A = √ ((Ax) 2 + (Ay) 2)
Explanation: In the above relation vector's magnitude is equal to the under root of the sum of the square of the vector's components.

Question 2.6 Can the magnitude of a vector have a negative value?
Answer 2.6 No. The magnitude of a vector has always positive values;

As A = √ ((Ax) 2 + (Ay) 2).

Explanation: In the above relation vector's magnitude is equal to the under root of the sum of the square of the vector's components. And square is always positive.

Question 2.7 If A+B=0, what can you say about the components of the two vectors?
Answer 2.7 A + B = 0 The sum of  Two Vector's will be zero if their components are equal in magnitude and they are opposite in direction.

Question 2.8 Under what circumstances would a vector have components that are equal in magnitude?
Answer 2.8 When the angle between the components of  a vector 'θ' = 45 degree with the x-axis, the components will have equal magnitude.

Question 2.9 Is it possible to add a vector quantity to a scalar quantity? Explain.

Answer 2.9 No. It is not possible to add a vector quantity to a scalar quantity. Different physical quantities cannot be added according to the rules of algebra.

Question 2.10 Can you add zero to a null vector?
Answer 2.10 No. We cannot add zero to a null vector. Because zero, a scalar quantity cannot be added with a vector quantity the null vector.

Written By: Asad Hussain