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 16 of 22
- A. Right hand rule
- B. Left hand rule
- C. Head to tail rule
- D. Hit and trial rule
Explanation: (a) Right hand rule: The right hand rule is a rule used in physics to determine the direction of a vector resulting from a cross product.
Correct answer: Head to tail rule- A. 45°
- B. 60°
- C. 90°
- D. 180°
Explanation: (a) 45°: This option represents an angle of 45 degrees between the rectangular components of a vector.
Correct answer: 90°- A. 2 Newton
- B. 5 Newton
- C. 7 Newton
- D. 10 Newton
Explanation: If two forces of 3N and 4N are acting on a body at a right angle (90 degrees), we can find the magnitude of the resultant force using the…
Correct answer: 5 Newton- A. Electric field
- B. Electrostatic potential
- C. Angular momentum
- D. Velocity
Explanation: (a) Electric field: An electric field is a physical quantity that describes the force experienced by a charged particle in the presence of…
Correct answer: Electrostatic potential- A. A + B = B + A
- B. A - B = B - A
- C. A x B=B x A
- D. None of the above
Explanation: (a) A + B = B + A: This statement represents the commutative property of vector addition, which means that the order in which we add two…
Correct answer: A + B = B + A- A. Each force is numerically equal to the sum of the other two
- B. Each force is numerically greater than the sum of the other two
- C. Each force is numerically greater than the difference of the other two
- D. None of the above
Explanation: (a) Each force is numerically equal to the sum of the other two: When three forces are in equilibrium, it means that the net force acting…
Correct answer: Each force is numerically equal to the sum of the other two- A. Product of their magnitudes
- B. Negative of the product of their magnitude
- C. Equal to zero
- D. None of the above
Explanation: (a) Product of their magnitudes: If two vectors are anti-parallel, it means that they point in exactly opposite directions.
Correct answer: Negative of the product of their magnitude308. Angular momentum is:
- A. Scalar
- B. A polar vector
- C. An axial vector
- D. Linear momentum
Explanation: (a) Scalar: Angular momentum is not a scalar. Scalars have only magnitude and no direction.
Correct answer: An axial vector- A. Anti-parallel vectors
- B. Parallel vectors
- C. Perpendicular vectors
- D. Parallel with some magnitude
Explanation: (a) Anti-parallel vectors: When two vectors are anti-parallel, it means they point in exactly opposite directions.
Correct answer: Anti-parallel vectors- A. Cross product
- B. Vector product
- C. Base vector
- D. Dot product
Explanation: (a) Cross product: The cross product is a different operation than the scalar product.
Correct answer: Dot product- A. Dot product
- B. Cosine product
- C. Cross product
- D. None of the above
Explanation: The scalar product is also called the dot product. It is a mathematical operation that takes two vectors and produces a scalar value.
Correct answer: Dot product- A. a cos θ
- B. a sin θ
- C. a tan θ
- D. a sin α
Explanation: When a vector α makes an angle θ with the x-axis, its x-component can be calculated using the formula: x = a * cos(θ), where "a"…
Correct answer: a cos θ- A. Of different magnitude and perpendicular to each other
- B. At an angle of 60°
- C. Parallel to each other
- D. At an angle of 90°
Explanation: The correct option is (c) - when two vectors are parallel to each other, their cross product will be zero.
Correct answer: Parallel to each other- A. Its magnitude change
- B. Its direction changes but magnitude remains the same
- C. Its magnitude as well as direction changes
- D. Neither its magnitude nor direction changes
Explanation: The correct option is (a) - when a vector is multiplied by a positive number, its magnitude changes.
Correct answer: Its magnitude change- A. 60°
- B. 90°
- C. 180°
- D. 360°
Explanation: The correct option is (c) - when two forces act together on an object and the angle between them is 180°, the magnitude of the resultant…
Correct answer: 180°- A. 30°
- B. 45°
- C. 60°
- D. 90°
Explanation: (a) 30°: If two forces of equal magnitude act perpendicular to each other, the resultant force will be equal in magnitude to the…
Correct answer: 45°- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: When a charged particle with mass m and charge q moves through a uniform magnetic field B with a velocity V, it experiences a force called…
Correct answer: Option A- A. YZ-plane
- B. ZX-plane
- C. XY-plane
- D. None of the above
Explanation: (a) YZ-plane: If the cross product of vectors A and B points along the positive z-axis, it means that A and B must be perpendicular to the…
Correct answer: XY-plane- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The position vector of a point in the xy-plane is typically given by the coordinates (x, y), where x represents the horizontal distance…
Correct answer: Option D- A. A resultant vector
- B. A unit vector
- C. A null vector
- D. A positive vector
Explanation: (a) A resultant vector: A resultant vector is the vector that represents the sum or combination of two or more vectors.
Correct answer: A unit vector