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 11 of 22
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The explanation is as follows, A.B = (A) (projection of B on A) or A.B = A (magnitude of component of B in the direction of A = A (Bcos θ)…
Correct answer: Option B- A. Sum of the adjacent sides
- B. Area of the parallelogram
- C. Product of the four sides
- D. Parameter of the parallelogram
Explanation: The explanation is as follows. The magnitude of A × B is equal to the area of the parallelogram formed with A and B as two adjacent sides.
Correct answer: Area of the parallelogram203. Work is defined as:
- A. Scalar product of force and displacement
- B. Vector product of force and displacement
- C. Scalar product of force and velocity
- D. Vector product of force and velocity
Explanation: Work is scalar product of force and displacement.
Correct answer: Scalar product of force and displacement- A. Product of their magnitude
- B. Product of their x-components
- C. Zero
- D. One
Explanation: When two vectors are perpendicular to each other, their dot product (scalar product) is zero. A.B = ABcos90° = 0
Correct answer: Zero- A. 1
- B. -1
- C. 1-/2
- D. 0
Explanation: The dot product of mutually perpendicular vectors is zero. As i^, j^ and k^ are mutually perpendicular, their product is zero.
Correct answer: 0- A. A unit vector
- B. Opposite to the other
- C. A null vector
- D. Position vector
Explanation: If the vectors are not perpendicular and still the product is zero, then this implies that either of the two vectors is a null vector.
Correct answer: A null vector- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: For any 3 vectors A, B and C, A.(B+C) = A.B + A.C.
Correct answer: Option B- A. Right hand rule
- B. Left hand rule
- C. Head to tail rule
- D. None of the above
Explanation: The direction of the vector product (cross product) of two vectors can be found using the right-hand rule.
Correct answer: Right hand rule- 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. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Torque is the vector product of moment arm and force. τ = r × F.
Correct answer: Option C- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: According to the vector product correct formula is F = q(V × B).
Correct answer: Option A- A. Direction
- B. Proper unit
- C. With graph
- D. None of these
Explanation: A scalar quantity is completely described by its magnitude and proper unit.
Correct answer: Proper unit- A. Vector
- B. Scalar
- C. Negative
- D. Null
Explanation: Speed is distance travelled per unit time. Speed has no direction, hence it is a scalar quantity.
Correct answer: Scalar- A. Vector
- B. Scalar
- C. Negative
- D. Logical
Explanation: Explanation is given below in the attached image.
Correct answer: Vector- A. Cross product
- B. Scalar product
- C. Dot product
- D. None of the above
Explanation: Cross product, also called vector product, a method of multiplying two vectors that produces a vector perpendicular to both vectors…
Correct answer: Cross product- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: We can write vectors in several ways. By an arrow By boldface Underline Therefore, option C is correct.
Correct answer: Option C- A. Magnitude
- B. Null
- C. Zero
- D. None of these
Explanation: The term "module" is often used interchangeably with "magnitude" when referring to vectors.
Correct answer: Magnitude- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Geometrically, vectors are represented by arrows, with the end marked by an arrowhead.
Correct answer: Option B- A. Unit vector
- B. Null vector
- C. Zero vector
- D. Positive vector
Explanation: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude of 1 is a unit vector.
Correct answer: Unit vector- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Unit Vector is represented by the symbol '^', which is called a cap or hat.
Correct answer: Option C