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 7 of 22
- A. Vector
- B. Speed
- C. Scalar
- D. Logical
Explanation: Velocity is a vector quantity because it includes both magnitude (speed) and direction.
Correct answer: Vector- A. The direction of the vector
- B. The size or length of the vector
- C. The components of the vector
- D. The origin of the vector
Explanation: When we talk about the magnitude of a vector, we are referring to the size or length of the vector.
Correct answer: The size or length of the vector- A. Option A: i, j, k
- B. Option B: -i, -j, k
- C. Option C: x, y, z
- D. Option D: None of these
Explanation: The correct answer is Option A: i, j, k. In mathematics and physics, the unit vectors along the x, y, and z axes are commonly denoted by…
Correct answer: Option A: i, j, k- A. Positive
- B. Negative
- C. Opposite
- D. None of these
Explanation: The negative of a vector is a vector that has the same magnitude as the original vector but points in the opposite direction.
Correct answer: Opposite- A. Four
- B. Five
- C. Zero
- D. Six
Explanation: The null vector, also known as the zero vector, has zero magnitude because it has no direction and doesn't contribute to the length or…
Correct answer: Zero- A. Pi
- B. Resultant
- C. Power
- D. Summation
Explanation: The symbol ∑, read as 'sum,' represents summation in mathematics. It is used to denote the total sum of a series of terms that follow a…
Correct answer: Summation- A. FX = |F|sinθ i
- B. FX = |F|cosθ i
- C. FX = |F|cosθ j
- D. FY = |F|cosθ i
Explanation: The correct answer is Option B: Fx = |F|cosθ. This formula defines the horizontal component of a vector as the magnitude of the vector…
Correct answer: FX = |F|cosθ i- A. An angle of (180°- θ) with x-axis
- B. An angle of (180°- θ) with y-axis
- C. An angle of 90°
- D. An angle of 180°
Explanation: When the x-component of the resultant vector is negative and the y-component is positive, the vector is positioned in the second quadrant…
Correct answer: An angle of (180°- θ) with x-axis129. When the multiplication of two vectors result into a vector quantity, then the product is called _.
- A. Cross product
- B. Dot product
- C. Magnitude of two vectors
- D. None of these
Explanation: The cross product, also known as the vector product, results in a vector that is perpendicular to the two vectors being multiplied.
Correct answer: Cross product- A. Fourth
- B. Third
- C. Second
- D. Fifth
Explanation: The tangent of an angle is positive in the first quadrant and the third quadrant.
Correct answer: Third- A. A.B= L .M cos θ
- B. L. M Sinθ nˆ
- C. L × M cosθ nˆ
- D. None of these
Explanation: The correct formula for the vector product of two vectors L and M is L. M Sinθ nˆ.
Correct answer: L. M Sinθ nˆ- A. -i
- B. -j
- C. -k
- D. None of these
Explanation: When calculating the cross product (k x j) of the unit vectors along the z-axis (k) and the y-axis (j) using the right-hand rule, the…
Correct answer: -i- A. Direction only
- B. Magnitude only
- C. Both magnitude & direction
- D. None of these
Explanation: A scalar is a physical quantity that is completely specified by its magnitude alone.
Correct answer: Magnitude only- A. Density
- B. Displacement
- C. Torque
- D. Weight
Explanation: Density is the correct answer as it is a scalar quantity with only magnitude and no direction.
Correct answer: Density- A. Only conclusion I follows
- B. Only conclusion II follows
- C. Either I or II follows
- D. Both I and II follow
Explanation: The flourishing of video libraries suggests a high demand, which can be described as a "video craze" (Conclusion I).
Correct answer: Both I and II follow136. In the following question, correct the equation by interchanging two signs.9 x 3 + 8 ÷ 4 - 7 = 28
- A. x and -
- B. + and -
- C. ÷ and +
- D. x and ÷
- E. None of these
Explanation: To solve the problem, we need to interchange two mathematical signs to make the equation correct.
Correct answer: x and ÷- A. Only conclusion I follows.
- B. Only conclusion II follows.
- C. Either I or II follows.
- D. Neither I nor II follows.
- E. Both I and II follow.
Explanation: In evaluating the conclusions, we must carefully consider the information given.
Correct answer: Neither I nor II follows.- A. x, ÷ and =
- B. ÷, x and =
- C. x, + and =
- D. +, - and =
Explanation: By inserting the operators '÷', '×', and '=', the expression becomes 18 ÷ 6 × 9 = 27.
Correct answer: ÷, x and =- A. If statement I is the cause and statement II is its effect;
- B. If statement II is the cause and statement, I is its effect;
- C. If both the statements I and II are independent causes;
- D. If both the statements I and II are effects of independent causes;
- E. If both the statements I and II are effects of some common cause;
Explanation: The explanation for this question will be added soon!
Correct answer: If both the statements I and II are effects of some common cause;- A. 300
- B. 600
- C. 450
- D. 120
Explanation: We know that the magnitude of the resultant force (R) is equal to F, and the magnitude of each individual force (F1 and F2) is also equal…
Correct answer: 120