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.

    Find the ratio $\dfrac{\lambda_\alpha}{\lambda_p}$ of the de Broglie wavelength $\lambda_\alpha$ associated with an alpha particle to the de Broglie wavelength $\lambda_p$ associated with a proton if both are moving with the same velocity.


      • 2.

        A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

          • 5 V
          • 3.5 V
          • 2.5 V
          • Zero V

        • 3.

          (I) The real image of an object placed between $f$ and $2f$ from a convex lens can be seen on a screen placed at the image location. If the screen is removed, is the image still there? Explain.

          (II) Plane and convex mirrors produce virtual images of objects. Can they produce real images under some circumstances? Explain.


            • 4.

              Consider a cylindrical conductor of length $l$ and area of cross-section $A$. Current $I$ is maintained in the conductor and electrons drift with velocity $\vec{v}_d$ ($|\vec{v}_d| = \frac{e|\vec{E}|}{m}\tau$), (where symbols have their usual meanings). Show that the conductivity $\sigma$ of the material of the conductor is given by

              $$\sigma = \frac{ne^2}{m}\tau.$$


                • 5.
                  Determine the current in the \( 3 \, \Omega \) branch of a Wheatstone Bridge in the circuit shown in the figure.


                    • 6.
                      Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

                        • \(\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (\hat{i} - \hat{j})\)
                        • \(\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (-\hat{i} - \hat{j})\)
                        • \(\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (\hat{i} - \hat{j})\)
                        • \(\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (-\hat{i} - \hat{j})\)
                      CBSE CLASS XII Previous Year Papers

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