Free Vectors and Equilibrium MCQs with Answers
431 Vectors and Equilibrium MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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Read the Vectors and Equilibrium notesFree MDCAT chapter notes with key terms431 questions · page 10 of 22
181. Velocity is a:
- A. Tensor
- B. Vector
- C. Scalar
- D. None of these options are correct
Explanation: Velocity is a vector quantity; it is the speed of an object in a particular direction.
Correct answer: Vector- A. m
- B. m/s
- C. 1/s
- D. N
Explanation: The unit used in the measurement of displacement is meters. So option A is correct.
Correct answer: m- A. Has direction
- B. Has magnitude
- C. Follow rules of vector addition
- D. None of the above
Explanation: For a quantity to be a vector, it must follow the rules of vector addition, because they allow for the combination of magnitudes and…
Correct answer: Follow rules of vector addition- A. 80 cm
- B. 75 cm
- C. 70 cm
- D. 65 cm
Explanation: For the rod to be balanced, the clockwise moment must be equal to the anticlockwise moment.5×50=10×xx=25cm 50+25=75cm.250/10=xAs it is a…
Correct answer: 75 cm- A. 60O
- B. 30O
- C. 45O
- D. 90O
Explanation: We find out the angle using tan = x component/y componentso tan = √3/1 and then we inverse tan to find the angle therefore the angle =…
Correct answer: 60O186. The vectors A and B are such that |A + B| = |A - B|, then the angle between the two vectors is:
- A. 00
- B. 600
- C. 900
- D. 1800
Explanation: Consider angle between A and B is ∅The resultant of A + B vector is given as,R = √(A²+B²+2AB cos∅)The resultant of A-B vector is given…
Correct answer: 900- A. 2
- B. 8
- C. 10
- D. 16
Explanation: A number is expressed in scientific notation when it is written as the product of a factor and a power of 10.
Correct answer: 10- A. -1
- B. 3
- C. 5
- D. 7
Explanation: Given:A + B = 7i^ + 7k^A - B = -i^ + k^To find the magnitude of A, we need to eliminate B from these equations.
Correct answer: 5- A. Angle
- B. Distance
- C. Direction
- D. Height
Explanation: A vector is completely described by its magnitude (or length) and its direction.
Correct answer: Direction- A. Parallel
- B. Perpendicular
- C. At an angle of 60o
- D. Equal
Explanation: The direction of a vector in a plane is measured with respect to two straight lines that are perpendicular to each other.
Correct answer: Perpendicular- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: For three mutually perpendicular planes (often representing the Cartesian coordinate system's x, y, and z planes), the unit vectors…
Correct answer: Option B- A. Two
- B. Three
- C. Four
- D. Five
Explanation: There are two primary methods of adding two or more vectors: graphical methods and analytical methods.1.
Correct answer: Two- A. (1, 1)
- B. (1, 0)
- C. (0, 1)
- D. (0, 0)
Explanation: In a two-dimensional coordinate system:1. X-axis (Horizontal axis): The x-component of the origin (0,0) is 0.
Correct answer: (0, 0)- A. Another vector
- B. Centre of the earth
- C. Any point in space
- D. Origin of the coordinate system
Explanation: The position vector of a point P represents its position with respect to the origin of the coordinate system.
Correct answer: Origin of the coordinate system- A. Double
- B. Half
- C. Negative
- D. Positive
Explanation: To subtract a given vector from another, you add its negative vector to the other one.
Correct answer: Negative- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The x component of a vector A can be found by projecting the vector onto the x-axis. It's typically represented as Ax.
Correct answer: Option C- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The Explanation for this question will be added soon!
Correct answer: Option D- A. First and Second
- B. Second and fourth
- C. First and third
- D. Third and fourth
Explanation: Quadrants are the four regions formed by the intersection of the x-axis and y-axis on a Cartesian coordinate system.
Correct answer: First and Second- A. Second and fourth
- B. Second and third
- C. First and third
- D. None of the above
Explanation: Quadrants are the four regions formed by the intersection of the x-axis and y-axis on a Cartesian coordinate system.
Correct answer: Second and third- A. First and last
- B. First only
- C. Second and fourth
- D. First and third
Explanation: The tangent function is positive in the first and third quadrants.
Correct answer: First and third