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Motion in plane MCQ Test
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11th Physics Motion in plane NCERT Question Answers
Q1 State, for each of the following physical quantities, if it is a scalar or a vector : volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity.
Answer: Scalar vs. Vector Physical Quantities
Scalars (quantities that have only magnitude and no direction):
- Volume: Measures the space an object occupies.
- Mass: Measures the amount of matter in an object.
- Speed: Measures how fast an object is moving, regardless of direction.
- Density: Measures how much mass is contained in a unit volume.
- Number of moles: Measures the amount of substance.
- Angular frequency: Measures how fast something is rotating, without a specific direction.
Vectors (quantities that have both magnitude and direction):
- Acceleration: Measures how quickly an object’s velocity changes.
- Velocity: Measures how fast and in which direction an object is moving.
- Displacement: Measures how far out of place an object is, with direction.
- Angular velocity: Measures how fast something is rotating in a specific direction.
Summary
- Scalars: Volume, mass, speed, density, number of moles, angular frequency
- Vectors: Acceleration, velocity, displacement, angular velocity
Q2 Pick out the two scalar quantities in the following list : force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, relative velocity.
Ans: Work, current
Q3 Pick out the only vector quantity in the following list : Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction, charge.
Ans: Impulse
Q4 State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful :
(a) adding any two scalars, (b) adding a scalar to a vector of the same dimensions ,
(c) multiplying any vector by any scalar, (d) multiplying any two scalars, (e) adding any two vectors, (f) adding a component of a vector to the same vector.
Ans: Only (c) and (d) are permissible
Q5 Read each statement below carefully and state with reasons, if it is true or false :
(a) The magnitude of a vector is always a scalar, (b) each component of a vector is always a scalar, (c) the total path length is always equal to the magnitude of the displacement vector of a particle. (d) the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time, (e) Three vectors not lying in a plane can never add up to give a null vector.
Ans: (a) T, (b) F, (c) F, (d) T, (e) T
Q6 Establish the following vector inequalities geometrically or otherwise :
Ans: The sum (difference) of any two sides of a triangle is never less (greater) than the
third side. Equality holds for collinear vectors.
Q7 Given a + b + c + d = 0, which of the following statements are correct :
(a) a, b, c, and d must each be a null vector,
(b) The magnitude of (a + c) equals the magnitude of ( b + d),
(c) The magnitude of a can never be greater than the sum of the magnitudes of b, c, and d,
(d) b + c must lie in the plane of a and d if a and d are not collinear, and in the line of a and d, if they are collinear ?
Ans: All statements except (a) are correct
Q8 Three girls skating on a circular ice ground of radius 200 m start from a point P on the edge of the ground and reach a point Q diametrically opposite to P following different paths as shown in Fig. 3.19. What is the magnitude of the displacement vector for each ? For which girl is this equal to the actual length of path skate ?
Ans: 400 m for each; B
Q9 A cyclist starts from the centre O of a circular park of radius 1 km, reaches the edge P of the park, then cycles along the circumference, and returns to the centre along QO as shown in Fig. 3.20. If the round trip takes 10 min, what is the (a) net displacement, (b) average velocity, and (c) average speed of the cyclist ?
Ans: (a) O; (b) O; (c) 21.4 km h–1
Q10 On an open ground, a motorist follows a track that turns to his left by an angle of 600 after every 500 m. Starting from a given turn, specify the displacement of the motorist at the third, sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case.
Ans: Displacement of magnitude 1 km and direction 60o with the initial direction; total path length = 1.5 km (third turn); null displacement vector; path length = 3 km (sixth turn); 866 m, 30o, 4 km (eighth turn)
Q11 A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest cabman takes him along a circuitous path 23 km long and reaches the hotel in 28 min. What is (a) the average speed of the taxi, (b) the magnitude of average velocity ? Are the two equal ?
Ans: (a) 49.3 km h–1 ; (b) 21.4 km h–1. No, the average speed equals average velocity magnitude
only for a straight path.
Q12. The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 m s-1 can go without hitting the ceiling of the hall?
Ans: 150.5 m
Q13 A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball ?
Ans: 50 m
Q14. A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, what is the magnitude and direction of acceleration of the stone?
Ans: 9.9 m s-2, along the radius at every point towards the centre.
Q15. An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.
Ans: 6.4 g
Q16 Read each statement below carefully and state, with reasons, if it is true or false :
(a) The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre
(b) The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point
(c) The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector
Ans: (a) False (true only for uniform circular motion) (b) True, (c) True.
Q21: Read each statement below carefully and state, with reasons and examples, if it is true or false
(a) is conserved in a process
(b) can never take negative values
(c) must be dimensionless
(d) does not vary from one point to another in space
(e) has the same value for observers with different orientations of axes.
Ans: Only (e) is true
Ans: Only (e) is true
Q22 An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10.0 s a part is 30°, wat is the speed of the aircraft ?
Ans: 182 m s–1
Chapter wise quiz of 11th class Physics MCQ
Chapter 1 Units and Measurements MCQ and NCERT Question Answer
1.1 Introduction
1.2 The international system of units
1.3 Significant figures
1.4 Dimensions of physical quantities
1.5 Dimensional formulae and dimensional equations
1.6 Dimensional analysis and its applications
Chapter 2 Motion in A Straight Line MCQ and NCERT Question Answer
2.1 Introduction
2.2 Instantaneous velocity and speed
2.3 Acceleration
2.4 Kinematic equations for uniformly accelerated motion
Chapter 3 Motion In A Plane MCQ and NCERT Question Answer
3.1 Introduction
3.2 Scalars and vectors
3.3 Multiplication of vectors by real numbers
3.4 Addition and subtraction of vectors – graphical method
3.5 Resolution of vectors
3.6 Vector addition – analytical method
3.7 Motion in a plane
3.8 Motion in a plane with constant acceleration
3.9 Projectile motion
3.10 Uniform circular motion
Chapter 4 Laws of Motion MCQ and NCERT Question Answer
4.1 Introduction
4.2 Aristotle’s fallacy
4.3 The law of inertia
4.4 Newton’s first law of motion
4.5 Newton’s second law of motion
4.6 Newton’s third law of motion
4.7 Conservation of momentum
4.8 Equilibrium of a particle
4.9 Common forces in mechanics
4.10 Circular motion
4.11 Solving problems in mechanics
Chapter 5 Work, Energy and Power MCQ and NCERT Question Answer
5.1 Introduction
5.2 Notions of work and kinetic energy : The work-energy theorem
5.3 Work
5.4 Kinetic energy
5.5 Work done by a variable force
5.6 The work-energy theorem for a variable force
5.7 The concept of potential energy
5.8 The conservation of mechanical energy
5.9 The potential energy of a spring
5.10 Power
5.11 Collisions
Chapter 6 System Of Particles And Rotational Motion MCQ and NCERT Question Answer
6.1 Introduction
6.2 Centre of mass
6.3 Motion of centre of mass
6.4 Linear momentum of a system of particles
6.5 Vector product of two vectors
6.6 Angular velocity and its relation with linear velocity
6.7 Torque and angular momentum
6.8 Equilibrium of a rigid body
6.9 Moment of inertia
6.10 Kinematics of rotational motion about a fixed axis
6.11 Dynamics of rotational motion about a fixed axis
6.12 Angular momentum in case of rotations about a fixed axis
Chapter 7 Gravitation MCQ and NCERT Question Answer
7.1 Introduction
7.2 Kepler’s laws
7.3 Universal law of gravitation
7.4 The gravitational constant
7.5 Acceleration due to gravity of the earth
7.6 Acceleration due to gravity below and above the surface of earth
7.7 Gravitational potential energy
7.8 Escape speed
7.9 Earth satellites
7.10 Energy of an orbiting satellite
