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.
    Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))


      • 2.
        The magnetic field in a plane electromagnetic wave travelling in glass (\( n = 1.5 \)) is given by \[ B_y = (2 \times 10^{-7} \text{ T}) \sin(\alpha x + 1.5 \times 10^{11} t) \] where \( x \) is in metres and \( t \) is in seconds. The value of \( \alpha \) is:

          • \( 0.5 \times 10^3 \, \text{m}^{-1} \)
          • \( 6.0 \times 10^2 \, \text{m}^{-1} \)
          • \( 7.5 \times 10^2 \, \text{m}^{-1} \)
          • \( 1.5 \times 10^3 \, \text{m}^{-1} \)

        • 3.
          If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.


            • 4.
              The figure represents the variation of the electric potential \( V \) at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at:

                • P
                • Q
                • R
                • S

              • 5.
                Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

                  • attract with a force \( \frac{F}{2} \)
                  • repel with a force \( \frac{F}{2} \)
                  • repel with a force \( F \)
                  • attract with a force \( F \)

                • 6.
                  A part of a wire carrying \( 2.0 \, \text{A} \) current and bent at \( 90^\circ \) at two points is placed in a region of uniform magnetic field \( \vec{B} = -0.50 \, \hat{k} \, \text{T} \), as shown in the figure. Calculate the magnitude of the net force acting on the wire.

                    CBSE CLASS XII Previous Year Papers

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