Following topics are covered in this physics chapter 2 Vectors and Equilibrium MCQs test taken from Chapter 1.
- Rectangular coordinate system
- Addition of vectors
- Resultant vector
- Vector Subtraction
- Vector addition by rectangular components
- Resolution of vector into components
- Scalar product
- Vector product
- Finding angle between two vectors
- Equilibrium of forces
Q 1. Which of the following forces can be added to get zero resultant
A) 3 N, 7 N and 11 N
B) 4 N, 6 N and 8 N
C) 3 N, 6 N and 10 N
D) 4 N, 1 N and 6 N
Q 2. Two forces of 25 N and 75 N are acting on a body the net force on body could be
A) 30 N
B) 45 N
C) 60N
D) 110N
Q 3. A quantity has direction but does not follow triangular law of vector addition is a
A) Vector
B) Scalar
C) may be scalar may be vector
D) has dual nature but dominantly a scalar
Q 4. Five coplanar forces are acting towards point each of magnitude 30 N at equal angels their resultant will be
A) 0 N
B) 30 N
C) 60 N
D) 150 N
Q 5. Five coplanar forces are acting towards a point each of magnitude 30 N at equal angels If direction of one of the forces is reversed the resultant will be
A) 0 N
B) 30 N
C) 60 N
D) 150 N
Q 6. Two forces of 30 N and 40 N are acting at perpendicular to each other their resultant will be
A) 30 N
B) 40 N
C) 50 N
D) 80 N
Q 7. The angle between 3\hat{i} + 4\hat{j} +5 \hat{k} and 6\hat{i} + 8\hat{j} +10 \hat{k} is
A) 0^{0}
B) 60^{0}
C) 90^{0}
D) 180^{0}
Q 08. Force of 10 N is making angle of 30 degree with the x-axis its horizontal component is
A) 5 N
B) 8.5 N
C) 10 N
D) 13 N
Q 09. Force of 10 N is making angle of 30 degree with the x-axis its vertical component is
A) 5 N
B) 8.5 N
C) 10 N
D) 13 N
Q 10. The magnitude of vector\hat{i} - 2\hat{j} + \hat{k} is
A) 1.95
B) 2.45
C) 2.85
D) 3.25
Q 11. The angle between 2\hat{i} - 4\hat{j} +6 \hat{k} and -\hat{i} + 2\hat{j} -3 \hat{k} is
A) 0^{0}
B) 60^{0}
C) 90^{0}
D) 180^{0}
Q 12. The angle between \hat{i} + 2\hat{j}+\hat{k} and \hat{i} - \hat{j} + \hat{k} is
A) 0^{0}
B) 60^{0}
C) 90^{0}
D) 180^{0}
Q 13. The angle between \hat{i} + \hat{j} and \hat{j} - \hat{k} is
A) 0^{0}
B) 30^{0}
C) 45^{0}
D) 60^{0}
Q 14. The angle of -\hat{i} + \hat{j} with positive x-axis is
A) 45^{0}
B) 135^{0}
C) 225^{0}
D) 315^{0}
Q 15. The reverse process of vector addition is
A) vector resolution
B) vector multiplication
C) vector division
D) vector subtraction
Q 16. The magnitude of cross product of two vectors is 3\sqrt{2} and scalar product of same two vectors is \sqrt{2} the angle between the vectors is
A) 30^{0}
B) 45^{0}
C) 60^{0}
D) None of the other options is correct
Q 17. A person can swim in stationary water at a maximum speed of 15 ms^{-1}. If the speed of water is 20ms^{-1} he can cover a distance of 350 m swimming in the direction of water in
A)10s
B) 14s
C) 20s
D) None of above
Q 18. A person can swim in stationary water at a maximum speed of 20 ms^{-1}. If the speed of water is 15ms^{-1} he can cover a distance of 350 m swimming in the direction of water in
A)10s
B) 14s
C) 20s
D) None of above
Q 19. A person can swim in stationary water at a maximum speed of 20 ms^{-1}. If the speed of water is 15ms^{-1} width of river is 100 m. He can cross the river in minimum time of
A)3s
B) 5s
C) 8s
D) None of above
Q 20. A person can swim in stationary water at a maximum speed of 20 ms^{-1}. If the speed of water is 16ms^{-1} width of river is 100 m. He can cross the river in how much time if he has to take shortest possible path.
A)3s
B) 5s
C) 8.25 s
D) None of above