11 Phy - 3 - Motion in a Plane - Complete Chapter- Test 1 (FREE MCQ Test)

11 Phy – 3 – Motion in a Plane – Complete Chapter- Test 1 (FREE MCQ Test)

1 / 25

According to the sources, what is the direction of the instantaneous velocity of an object at any point on its path?

Tangential to the path

Towards the origin

Radial

Normal to the path

2 / 25

What is the direction of the acceleration of an object undergoing uniform circular motion?

Vertically downwards

Away from the centre

Towards the centre

Along the tangent

3 / 25

For a given projection velocity, the horizontal range \( R \) of a projectile is maximum when the projection angle is:

\( 30^{ \circ } \)

\( 60^{ \circ } \)

\( 90^{ \circ } \)

\( 45^{ \circ } \)

4 / 25

Who was the first to state that the horizontal and vertical components of projectile motion are independent of each other?

J. Bernoulli

Galileo

Isaac Newton

Christiaan Huygens

5 / 25

In two-dimensional motion, the average acceleration vector has the same direction as which other vector?

\( \Delta \mathbf{ v } \)

\( \mathbf{ a } \)

\( \mathbf{ v } \)

\( \mathbf{ r } \)

6 / 25

Which of the following is defined in the sources as a quantity that has magnitude only and is specified by a single number with a proper unit?

Null vector

Scalar

Vector

Tensor

7 / 25

When a vector \( \mathbf{ A } \) is multiplied by a negative number \( -\lambda \), what happens to its direction according to the sources?

It becomes opposite

It remains the same

It becomes perpendicular

It becomes zero

8 / 25

What is the formula for the time of flight \( T_{ f } \) of a projectile according to the sources?

\( v_{ o } / g \)

\( v_{ o } sin{ \theta_{ o } } / g \)

\( 2 ( v_{ o } sin{ \theta_{ o } } ) / g \)

\( v_{ o }^{ 2 } / g \)

9 / 25

If a vector \( \mathbf{ A } \) makes an angle \( \theta \) with the \( x \)-axis, what is its \( y \)-component \( A_{ y } \) according to the sources?

\( A sin{ \theta } \)

\( A tan{ \theta } \)

\( A^{ 2 } \)

\( A cos{ \theta } \)

10 / 25

An object that is in flight after being thrown or projected is referred to as a:

Projectile

Orbit

Satellite

Scalar

11 / 25

Which property of vector addition is represented by the equation \( \mathbf{ A } + \mathbf{ B } = \mathbf{ B } + \mathbf{ A } \) in the sources?

Associative property

Distributive property

Commutative property

Identity property

12 / 25

In the graphical method of vector addition, if the tail of vector \( \mathbf{ B } \) is placed at the head of vector \( \mathbf{ A } \), what is the name of this method?

Resolution method

Scalar method

Multiplication method

Head-to-tail method

13 / 25

What are the unit vectors along the \( x \), \( y \), and \( z \) axes respectively in a rectangular coordinate system?

\( \hat{ p }, \hat{ q }, \hat{ r } \)

\( \hat{ i }, \hat{ j }, \hat{ k } \)

\( \hat{ a }, \hat{ b }, \hat{ c } \)

\( \hat{ x }, \hat{ y }, \hat{ z } \)

14 / 25

Which term, proposed by Newton and meaning “centre-seeking,” is used for the acceleration in circular motion?

Angular acceleration

Centripetal acceleration

Gravitational acceleration

Tangential acceleration

15 / 25

A physical quantity is classified as a vector in the sources if it has both magnitude and direction and obeys which specific law?

Law of inertia

Law of conservation of mass

Ohm's law

Triangle law of addition

16 / 25

What is the relationship between linear velocity \( v \), angular speed \( \omega \), and radius \( R \)?

\( v = R / \omega \)

\( v =\omega R \)

\( v = \omega^{ 2 } R \)

\( v = \omega / R \)

17 / 25

What is the resulting magnitude of a null vector (zero vector) as described in the sources?

Infinite

Variable

18 / 25

The magnitude of the resultant \( R \) of two vectors \( \mathbf{ A } \) and \( \mathbf{ B } \) with an angle \( \theta \) between them is given by which law?

Hooke's Law

Law of Sines

Law of Cosines

Newton's Second Law

19 / 25

What is the shape of the path followed by a projectile as described in the sources?

Parabola

Straight line

Circle

Hyperbola

20 / 25

According to Galileo’s statement in the sources, for which elevations are the ranges of a projectile equal?

\( ( 45^{ \circ } + \alpha ) \) and \( ( 45^{ \circ } – \alpha ) \)

\( 0^{ \circ } \) and \( 90^{ \circ } \)

\( 45^{ \circ } \) and \( 60^{ \circ } \)

\( 30^{ \circ } \) and \( 45^{ \circ } \)

21 / 25

According to the sources, which of the following is true for the kinematic equations of uniform acceleration in circular motion?

They do not apply

They apply only at the origin

They only apply if the radius is large

They apply perfectly

22 / 25

Motion of an object following a circular path at a constant speed is called:

Relative motion

Uniform circular motion

Projectile motion

Rectilinear motion

23 / 25

The time rate of change of angular displacement is defined in the sources as:

Linear velocity

Frequency

Time period

Angular speed

24 / 25

At the point of maximum height for a projectile, which component of its velocity becomes zero?

Vertical component

Neither component

Both components

Horizontal component

25 / 25

How is the magnitude of centripetal acceleration \( a_{ c } \) expressed in terms of speed \( v \) and radius \( R \)?

\( vR \)

\( v^{ 2 } / R \)

\( v / R \)

\( v / R^{ 2 } \)

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