NCERT Solutions for class 11 Physics Chapter 4: Motion in a plane

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Jasmine Grover

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The NCERT Solutions for Class 11 Physics Chapter 4 Motion in a plane are provided in the article below. The motion of a body can be referred to as its change in position depending on its surroundings in a given time interval. The motion of any object which has some mass can be measured in distance, displacement, speed and velocity, acceleration, and time.

Class 11 Physics Chapter 4 Motion in a Plane belongs to Unit 2 Kinematics which has a weightage of 23 marks along with Unit 1 Physical World and Measurement and Unit 3 Laws of Motion. NCERT Solutions for Chapter 4 Physics Class 11 deals with the concept of scalars and vectors, uniform circular motion, and relative velocity in two dimensions.

Download PDF: NCERT Solutions for Class 11 Physics Chapter 4


NCERT Solutions for Class 11 Physics Chapter 4

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Class 11 Physics Chapter 4 – Concepts Covered

  • Motion in a plane is known as motion in two dimensions. For example, projectile motion, circular motion etc.
  • Scalar Quantities are the physical quantities that are specified by their magnitude or size alone.
Examples of Scalar Quantities – Length, mass, density, speed, work, etc
  • Vector Quantities are the physical quantities that are characterised by both magnitude and direction.
Example of Vector Quantities – Velocity, displacement, acceleration, force, momentum, torque etc.
  • A unit vector is a vector with a unit magnitude that points in a particular direction. It is used to only specify the direction.
It can be represented as \(\widehat{A} = { \overrightarrow{A} \over |\overrightarrow{A}|}\)
  • Parallelogram Law of Vector Addition: If \(\overrightarrow{A}\)and \(\overrightarrow{B}\) are the two adjacent sides of a parallelogram, inclined at an angle \(\theta\), then the magnitude of resultant vector is determined.

\(R = \sqrt{A^2 + B^2 +2ABcos\theta}\)

  • The projectile is an initial inclined velocity which subsequently follows a path determined by the gravitational force that acts on it and by the frictional resistance of the air.
  • The path followed by a projectile is known as its trajectory.

CBSE CLASS XII Related Questions

  • 1.
    A charged particle $+q$ in an electric field $\vec{E}$ experiences a force in the direction of the electric field. As a result, its kinetic energy changes. Similarly, the charged particle also experiences a force when it moves in a magnetic field $\vec{B}$. But this magnetic force is perpendicular to both velocity $\vec{v}$ of the charged particle and the magnetic field $\vec{B}$, so it cannot change the kinetic energy of the charged particle. Consider two charged particles 1 and 2 of masses $m$ and $\frac{m}{2}$ having charges $-q$ and $+2q$ respectively. They are accelerated from rest through the same potential difference $V$ and acquire kinetic energy $K_1$ and $K_2$. Then they enter in a region of uniform magnetic field $\vec{B}$ perpendicular to their velocities.


      • 2.
        Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.


          • 3.
            An astronomical telescope consists of two converging lenses. One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece. It is used to see distant objects which are not seen clearly with naked eyes. The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.


              • 4.
                This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?


                  • 5.
                    Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

                      • \( (M_x - M_z)<M_y \)
                      • \( (M_x - M_y)<M_z \)
                      • \( M_x>(M_y + M_z) \)
                      • \( M_x<(M_y + M_z) \)

                    • 6.
                      Read the following paragraph and answer the questions that follow.
                      A p-type or n-type semiconductor can be converted into a p-n junction by doping it with suitable impurity. The motion of majority charge carriers causes diffusion current across the junction while the barrier electric field causes motion of minority carriers for drift current. In case of unbiased diode, the diffusion and drift currents are equal. This equilibrium is disturbed by the biasing batteries. Diodes, therefore, allow currents in one direction. This property of diode is used in making rectifiers.

                        CBSE CLASS XII Previous Year Papers

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