MCQ Physics Chapter–4: MOTION IN A PLANE, HS 1st year

 

MCQ Set: Motion in a Plane

1. Which of the following quantities is a vector?
a) Mass
b) Speed
c) Displacement
d) Density

Answer: c) Displacement

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2. The path of a projectile under gravity, assuming no air resistance, is:
a) Circular
b) Straight line
c) Parabolic
d) Elliptical

Answer: c) Parabolic

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3. If an object moves in a plane with constant acceleration, the displacement (r) after time $t$ is given by:
a) $r = v_0t$
b) $r = r_0 + v_0t + \frac{1}{2}at^2$
c) $r = r_0 + \frac{1}{2}at^2$
d) $r = v_0 + at$

Answer: b) $r = r_0 + v_0t + \frac{1}{2}at^2$

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4. The centripetal acceleration of an object in uniform circular motion is directed:
a) Along the tangent to the circle
b) Towards the center of the circle
c) Away from the center of the circle
d) Perpendicular to the plane of the circle

Answer: b) Towards the center of the circle

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5. Which of the following represents the horizontal range (R) of a projectile?
a) $R = \frac{v_0^2 \sin 2\theta_0}{g}$
b) $R = v_0^2 \sin \theta_0$
c) $R = \frac{v_0 \cos \theta_0}{g}$
d) $R = v_0 \sin \theta_0$

Answer: a) $R = \frac{v_0^2 \sin 2\theta_0}{g}$

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6. The time of flight (T) for a projectile launched at an angle $\theta_0$ with initial velocity $v_0$ is given by:
a) $T = \frac{2v_0}{g}$
b) $T = \frac{2v_0 \cos \theta_0}{g}$
c) $T = \frac{2v_0 \sin \theta_0}{g}$
d) $T = \frac{v_0^2 \sin 2\theta_0}{g}$

Answer: c) $T = \frac{2v_0 \sin \theta_0}{g}$

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7. Which method is used to add two vectors graphically?
a) Analytical method
b) Triangle law of addition
c) Scalar multiplication
d) Subtraction of vectors

Answer: b) Triangle law of addition

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8. If a vector $\vec{A}$ is multiplied by a negative scalar $-\lambda$, the resulting vector:
a) Has the same magnitude and direction as $\vec{A}$
b) Has the same magnitude but opposite direction to $\vec{A}$
c) Has a different magnitude and direction
d) Remains unchanged

Answer: b) Has the same magnitude but opposite direction to $\vec{A}$

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9. For an object in uniform circular motion, the angular speed $\omega$ is given by:
a) $\omega = \frac{v^2}{R}$
b) $\omega = \frac{v}{R}$
c) $\omega = vR$
d) $\omega = \frac{2\pi}{vR}$

Answer: b) $\omega = \frac{v}{R}$

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10. A vector has components $A_x = 3$ and $A_y = 4$. Its magnitude is:
a) $7$
b) $5$
c) $4$
d) $3$

Answer: b) $5$
(Explanation: Magnitude $A = \sqrt{A_x^2 + A_y^2} = \sqrt{3^2 + 4^2} = 5$)

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11. The velocity of a projectile at the highest point is:
a) Zero
b) Maximum
c) Horizontal
d) Vertical

Answer: c) Horizontal

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12. In vector addition, the associative law is represented as:
a) $\vec{A} + \vec{B} = \vec{B} + \vec{A}$
b) $(\vec{A} + \vec{B}) + \vec{C} = \vec{A} + (\vec{B} + \vec{C})$
c) $\vec{A} - \vec{B} = \vec{B} - \vec{A}$
d) $\vec{A} \cdot \vec{B} = \vec{B} \cdot \vec{A}$

Answer: b) $(\vec{A} + \vec{B}) + \vec{C} = \vec{A} + (\vec{B} + \vec{C})$

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13. When resolving a vector $\vec{A}$ into its components along two perpendicular axes, the correct relationship is:
a) $A_x = A \cos \theta, A_y = A \sin \theta$
b) $A_x = A \sin \theta, A_y = A \cos \theta$
c) $A_x = A \tan \theta, A_y = A \cot \theta$
d) $A_x = A / \cos \theta, A_y = A / \sin \theta$

Answer: a) $A_x = A \cos \theta, A_y = A \sin \theta$

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14. The time taken by a projectile to reach its maximum height is given by:
a) $t_m = \frac{v_0}{g}$
b) $t_m = \frac{v_0 \cos \theta}{g}$
c) $t_m = \frac{v_0 \sin \theta}{g}$
d) $t_m = \frac{2v_0 \sin \theta}{g}$

Answer: c) $t_m = \frac{v_0 \sin \theta}{g}$

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15. For a projectile motion, the horizontal component of velocity $v_x$:
a) Changes due to gravity
b) Is always zero
c) Remains constant
d) Decreases linearly

Answer: c) Remains constant

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16. The equation of the path of a projectile is:
a) $y = mx + c$
b) $y = ax^2 + bx + c$
c) $y = x^2 - 2x + 3$
d) $y = \tan \theta \cdot x - \frac{g x^2}{2v_0^2 \cos^2 \theta}$

Answer: d) $y = \tan \theta \cdot x - \frac{g x^2}{2v_0^2 \cos^2 \theta}$

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17. The direction of velocity of a moving particle at any point on its path is:
a) Along the radius of the path
b) Along the tangent to the path
c) Along the normal to the path
d) Along the displacement vector

Answer: b) Along the tangent to the path

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MCQ Set: Scalars, Vectors, and Motion in a Plane

18. A scalar quantity is one that has:
a) Only magnitude
b) Only direction
c) Both magnitude and direction
d) Neither magnitude nor direction

Answer: a) Only magnitude

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19. Which of the following is true for two equal vectors $\vec{A}$ and $\vec{B}$?
a) They must have the same magnitude and the same direction
b) They must originate from the same point
c) They must form a parallelogram
d) They must lie in different planes

Answer: a) They must have the same magnitude and the same direction

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20. The resultant of two vectors $\vec{A}$ and $\vec{B}$ is maximum when the angle between them is:
a) $0^\circ$
b) $90^\circ$
c) $180^\circ$
d) $45^\circ$

Answer: a) $0^\circ$

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21. The magnitude of the relative velocity of two objects moving in the same direction is given by:
a) $v_1 + v_2$
b) $|v_1 - v_2|$
c) $v_1^2 - v_2^2$
d) $v_1 \cdot v_2$

Answer: b) $|v_1 - v_2|$

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22. The acceleration of an object in uniform circular motion:
a) Has a constant magnitude and a changing direction
b) Has a changing magnitude and a constant direction
c) Is always zero
d) Is always along the tangent to the circle

Answer: a) Has a constant magnitude and a changing direction

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23. A unit vector has:
a) A magnitude of 1 and no dimension
b) A magnitude of 1 and a specific dimension
c) A magnitude of 0
d) Both magnitude and direction of 1

Answer: a) A magnitude of 1 and no dimension

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24. If two vectors are perpendicular, their dot product is:
a) Maximum
b) Minimum
c) Zero
d) Equal to their magnitudes

Answer: c) Zero

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25. The equation of motion $y = (v_0 \sin \theta)t - \frac{1}{2} g t^2$ describes:
a) The horizontal displacement of a projectile
b) The vertical displacement of a projectile
c) The parabolic trajectory of a projectile
d) The time of flight of a projectile

Answer: b) The vertical displacement of a projectile

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26. If $\vec{A} = 3\hat{i} + 4\hat{j}$ and $\vec{B} = -3\hat{i} + 4\hat{j}$, the angle between $\vec{A}$ and $\vec{B}$ is:
a) $0^\circ$
b) $90^\circ$
c) $180^\circ$
d) $120^\circ$

Answer: b) $90^\circ$

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27. For a projectile launched at an angle $\theta_0$ with initial velocity $v_0$, the maximum height $h_m$ is given by:
a) $\frac{v_0^2 \sin^2 \theta_0}{2g}$
b) $\frac{v_0^2 \cos^2 \theta_0}{g}$
c) $\frac{v_0^2 \sin^2 \theta_0}{g}$
d) $\frac{v_0 \sin \theta_0}{g}$

Answer: a) $\frac{v_0^2 \sin^2 \theta_0}{2g}$

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28. The range of a projectile depends on:
a) Only the angle of projection
b) Only the initial velocity
c) Both the initial velocity and angle of projection
d) Neither the velocity nor the angle of projection

Answer: c) Both the initial velocity and angle of projection

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29. If a vector $\vec{A}$ is resolved into components along two perpendicular directions, their sum is:
a) Equal to $\vec{A}$
b) Greater than $\vec{A}$
c) Less than $\vec{A}$
d) Always zero

Answer: a) Equal to $\vec{A}$

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30. The velocity of a particle in uniform circular motion is:
a) Perpendicular to its acceleration
b) Parallel to its acceleration
c) Directed towards the center
d) Constant in direction

Answer: a) Perpendicular to its acceleration

Advanced MCQs on Motion in a Plane

31. A vector quantity that obeys the triangle law of addition is characterized by:
a) Only magnitude
b) Magnitude and direction
c) Magnitude but no direction
d) Unit dimension

Answer: b) Magnitude and direction

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32. Which of the following is the correct condition for two vectors to be equal?
a) Same magnitude and opposite directions
b) Same magnitude and same directions
c) Same unit and different magnitude
d) Different magnitudes and same directions

Answer: b) Same magnitude and same directions

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33. The component of a vector along any axis can be negative if:
a) The vector makes an obtuse angle with the axis
b) The vector is perpendicular to the axis
c) The magnitude of the vector is zero
d) The direction of the vector is parallel to the axis

Answer: a) The vector makes an obtuse angle with the axis

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34. A projectile is launched with a velocity $v_0$ at an angle $\theta_0$ to the horizontal. At the highest point of its trajectory, the:
a) Vertical velocity is maximum
b) Horizontal velocity is maximum
c) Vertical velocity is zero
d) Vertical and horizontal velocities are equal

Answer: c) Vertical velocity is zero

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35. When a particle moves along a circular path, the centripetal force acting on it is directed:
a) Along the tangent to the path
b) Away from the center of the circle
c) Towards the center of the circle
d) Perpendicular to the plane of the circle

Answer: c) Towards the center of the circle

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36. The time of flight for a projectile is doubled if:
a) The initial velocity is halved
b) The acceleration due to gravity is halved
c) The projection angle is doubled
d) The initial velocity is doubled

Answer: b) The acceleration due to gravity is halved

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37. The equation $\vec{A} + \vec{B} = \vec{C}$ is valid if:
a) The magnitudes of $\vec{A}$, $\vec{B}$, and $\vec{C}$ are equal
b) $\vec{A}$, $\vec{B}$, and $\vec{C}$ are collinear
c) $\vec{A}$ and $\vec{B}$ are perpendicular
d) The directions of $\vec{A}$, $\vec{B}$, and $\vec{C}$ satisfy the triangle law

Answer: d) The directions of $\vec{A}$, $\vec{B}$, and $\vec{C}$ satisfy the triangle law

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38. The motion of a particle in two dimensions can be described by:
a) Scalars alone
b) Only one vector quantity
c) Two independent perpendicular vector components
d) Two independent parallel vector components

Answer: c) Two independent perpendicular vector components

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39. The magnitude of the resultant of two vectors of equal magnitude $A$ is $\sqrt{2}A$. The angle between the two vectors is:
a) $0^\circ$
b) $45^\circ$
c) $90^\circ$
d) $180^\circ$

Answer: c) $90^\circ$

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40. A particle is moving in a plane with a constant acceleration. Its trajectory will be:
a) A straight line
b) A circle
c) A parabola
d) An ellipse

Answer: c) A parabola

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41. The motion of an object projected horizontally is an example of:
a) Uniform motion
b) One-dimensional motion
c) Two-dimensional motion
d) Circular motion

Answer: c) Two-dimensional motion

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42. The range of a projectile is maximum when the angle of projection is:
a) $30^\circ$
b) $45^\circ$
c) $60^\circ$
d) $90^\circ$

Answer: b) $45^\circ$

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43. The null vector has:
a) Infinite magnitude and no direction
b) Zero magnitude and no specific direction
c) A unit magnitude and arbitrary direction
d) A negative magnitude and specific direction

Answer: b) Zero magnitude and no specific direction

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44. The centripetal force acting on an object in uniform circular motion is:
a) Constant in both magnitude and direction
b) Constant in magnitude but variable in direction
c) Variable in magnitude but constant in direction
d) Variable in both magnitude and direction

Answer: b) Constant in magnitude but variable in direction

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45. If two vectors $\vec{A}$ and $\vec{B}$ are antiparallel, the angle between them is:
a) $0^\circ$
b) $90^\circ$
c) $180^\circ$
d) $360^\circ$

Answer: c) $180^\circ$

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Looking for MCQ Physics for Class 11 with answers? You’ve come to the right place! Mastering multiple-choice questions is essential for acing your exams and strengthening your understanding of physics concepts. Here, we provide a comprehensive collection of MCQs from various chapters in Class 11 Physics, designed to help students practice effectively and excel in their studies.

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• Quick Revision: MCQs cover key topics concisely, making them perfect for last-minute prep.
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Class 11 Physics MCQ Topics Covered

We’ve curated MCQs from the following critical chapters in the Class 11 Physics syllabus:

1. Physical World and Measurement

   • Example:
     Q: Which of the following is a fundamental unit in physics?
     a) Newton
     b) Kilogram
     c) Joule
     d) Watt
     Answer: b) Kilogram

2. Kinematics

   • Example:
     Q: A particle moves in a straight line with uniform acceleration. If its initial velocity is 5 m/s, acceleration is 2 m/s², and time is 3 seconds, what is the final velocity?
     a) 5 m/s
     b) 11 m/s
     c) 10 m/s
     d) 20 m/s
     Answer: d) 20 m/s

3. Laws of Motion

   • Example:
     Q: Newton’s first law is also known as:
     a) Law of Acceleration
     b) Law of Inertia
     c) Law of Gravitation
     d) None of these
     Answer: b) Law of Inertia

4. Work, Energy, and Power

   • Example:
     Q: The work done by a force is zero when the angle between force and displacement is:
     a) 0°
     b) 45°
     c) 90°
     d) 180°
     Answer: c) 90°

5. Gravitation

   • Example:
     Q: The value of acceleration due to gravity on the surface of Earth is approximately:
     a) 8.9 m/s²
     b) 9.8 m/s²
     c) 10.8 m/s²
     d) 11.8 m/s²
     Answer: b) 9.8 m/s²

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Benefits of Practicing Class 11 Physics MCQs

1. Understand Concepts Better: Solve real-life application-based problems.
2. Time Management: Learn to solve questions faster under exam conditions.
3. Boost Confidence: Build the confidence to face competitive exams.

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Pro Tips for Solving Physics MCQs

• Read the Question Carefully: Avoid making assumptions before fully reading.
• Practice Regularly: Consistency is key to mastering Physics MCQs.
• Understand Formulas: Memorize and apply the formulas correctly.
• Eliminate Wrong Options: Narrow down choices using logic.

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Start solving these MCQs for Class 11 Physics and get ready to achieve excellent results in your exams! Bookmark this page for regular updates on practice questions and their solutions.

FAQs

1. Are these MCQs suitable for NEET or JEE aspirants?
   Yes, they are tailored to align with the syllabus of major competitive exams.
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   Stay tuned! A downloadable PDF link will be available soon.

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