[Class 11th - Physics - Motion in a Plane - MERIT YARD]

[Class 11th - Physics - Motion in a Plane - MERIT YARD]

Question 1 / 40Which of the following is a scalar quantity?

A) Displacement

B) Velocity

C) Work

D) Force

Question 2 / 40The resultant of two vectors is maximum when the angle between them is:

A) 90°

B) 180°

C) 0°

D) 45°

Question 3 / 40A vector having a magnitude of one unity is called:

A) Null Vector

B) Unit Vector

C) Position Vector

D) Displacement Vector

Question 4 / 40The path followed by a projectile is called:

A) Straight line

B) Circle

C) Parabola

D) Ellipse

Question 5 / 40Which component of velocity remains constant in projectile motion (neglecting air resistance)?

A) Vertical component

B) Horizontal component

C) Both components

D) None

Question 6 / 40Vector addition follows which law?

A) Newton's Law

B) Commutative Law (A + B = B + A)

C) Ohm's Law

D) Boyles' Law

Question 7 / 40For maximum horizontal range, the angle of projection should be:

A) 30°

B) 60°

C) 45°

D) 90°

Question 8 / 40In uniform circular motion, which quantity remains constant?

A) Velocity

B) Acceleration

C) Speed

D) Displacement

Question 9 / 40What is the magnitude of the vector 3i + 4j?

A) 7

B) 5

C) 12

D) 1

Question 10 / 40At the highest point of a projectile trajectory, the vertical component of velocity is:

A) Maximum

B) Minimum (non-zero)

C) Zero

D) Equal to u

Question 11 / 40The direction of centripetal acceleration is:

A) Tangential to the circle

B) Away from the center

C) Towards the center

D) None of these

Question 12 / 40The Dot Product (Scalar Product) of two perpendicular vectors is:

A) 1

B) Zero

C) Maximum

D) Negative

Question 13 / 40A Null Vector has:

A) Magnitude 1

B) Magnitude 0 and arbitrary direction

C) Fixed direction

D) Infinite magnitude

Question 14 / 40The formula for Time of Flight (T) in projectile motion is:

A) u sinθ / g

B) 2u sinθ / g

C) u² sin²θ / 2g

D) u² sin2θ / g

Question 15 / 40The centripetal acceleration is given by:

A) v/r

B) v² / r

C) v r

D) v / r²

Question 16 / 40If |A + B| = |A - B|, then the angle between A and B is:

A) 0°

B) 90°

C) 180°

D) 60°

Question 17 / 40The Position Vector 'r' in Cartesian coordinates is written as:

A) x i + y j + z k

B) x i - y j

C) x + y + z

D) x j + y i

Question 18 / 40In uniform circular motion, the velocity vector is:

A) Constant

B) Variable (Continuously changing direction)

C) Zero

D) Always perpendicular to acceleration

Question 19 / 40Projectile motion is an example of:

A) 1D Motion

B) Motion in a Plane (2D)

C) 3D Motion

D) Circular Motion

Question 20 / 40The horizontal range is proportional to:

A) sin θ

B) sin 2θ

C) cos θ

D) tan θ

Question 21 / 40The relationship between linear velocity (v) and angular velocity (ω) is:

A) v = rω

B) v = ω/r

C) ω = vr

D) v = r²ω

Question 22 / 40i . i (Dot product of unit vector with itself) equals:

A) 0

B) 1

C) -1

D) i

Question 23 / 40i x j (Cross product) gives:

A) 0

B) 1

C) k

D) -k

Question 24 / 40For two complementary angles (e.g., 30° and 60°), the horizontal range is:

A) Different

B) Same

C) Zero

D) Infinite

Question 25 / 40During projectile motion, acceleration due to gravity acts:

A) Horizontally

B) Vertically Downwards

C) Vertically Upwards

D) Tangentially

Question 26 / 40The SI unit of Angular Acceleration is:

A) m/s²

B) rad/s

C) rad/s²

D) degree/s

Question 27 / 40Splitting a vector into its components is called:

A) Addition

B) Resolution

C) Multiplication

D) Subtraction

Question 28 / 40Work done by centripetal force in a uniform circular motion is:

A) Maximum

B) Zero

C) Positive

D) Negative

Question 29 / 40If vector A is perpendicular to vector B, then A . B is:

A) AB

B) 0

C) 1

D) -AB

Question 30 / 40The angle of projection for which the horizontal range and maximum height are equal is:

A) 45°

B) tan⁻¹(4) (approx 76°)

C) 90°

D) 30°

Question 31 / 40A boat crosses a river. The shortest path is taken when the boat heads:

A) Downstream

B) Upstream at an angle > 90°

C) Upstream making an angle with the bank to counteract flow

D) Perpendicular to flow

Question 32 / 40Equation of trajectory of a projectile is:

A) y = ax + b

B) y = ax - bx²

C) y = ax²

D) x = ay²

Question 33 / 40If rain is falling vertically and a man runs horizontally, the rain appears to hit him from:

A) Behind

B) Front at an angle

C) Vertically top

D) Below

Question 34 / 40Subtracting vector B from A is equivalent to adding:

A) B to A

B) -B to A

C) A to B

D) None

Question 35 / 40The direction of the velocity vector at any point on a curved path is:

A) Normal to the path

B) Tangential to the path

C) Opposite to motion

D) Towards center

Question 36 / 40If the earth stops rotating, the value of 'g' at the poles will:

A) Remain same

B) Increase

C) Decrease

D) Become zero

Question 37 / 40At the topmost point of a projectile, its kinetic energy is (if initial KE is E and angle is θ):

A) Zero

B) E

C) E cos²θ

D) E sin²θ

Question 38 / 40If the speed of a particle in circular motion is doubled, the centripetal acceleration becomes:

A) Double

B) Four times

C) Half

D) Same

Question 39 / 40A swimmer can swim at 4 km/h in still water. If river flows at 3 km/h, what is his velocity w.r.t ground when swimming perpendicular to flow?

A) 1 km/h

B) 7 km/h

C) 5 km/h

D) 4 km/h

Question 40 / 40The relation between Time of Flight (T) and Maximum Height (H) is (gT² = ?):

A) 2H

B) 8H

C) 4H

D) 16H