NCERT Solutions for class 11 Physics Chapter 15: Waves

NCERT Solutions for Class 11 Physics Chapter 15: Waves deals with the concepts of wave and wave motion. Wave motion is referred to as the energy and momentum movement from one point to another in a medium instead of actually transferring the substances between the places. 

Class 11 Physics Chapter 15 Waves is a part of Unit 10 Oscillations and Waves which has a weightage of 10 marks in the Class 11 Physics Examination. The chapter covers concepts of transverse and longitudinal waves, the principle of superposition of waves, and the Doppler effect.


Download PDF: NCERT Solutions for Class 11 Physics Waves

NCERT Solutions for Class 11 Physics Chapter 15

The NCERT Solutions for Chapter 15 of Class 11 Physics are as given below – 

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Class 11 Physics Chapter 15 – Concepts Covered

  • A wave is a disturbance that travels through a material medium as a result of the repeated periodic motion of the particles of the medium about their mean positions without any actual transportation of matter.
The particles of the medium traversed by a wave have relatively small vibrations about their mean positions. However, the particles are not displaced permanently in the direction of propagation of the wave.
  • Mechanical waves can be propagated or produced only in a material medium.
These waves work on Newton’s laws of motion. For example, waves on strings, waves on the water surface, sound waves etc.
  • Electromagnetic Waves are waves that do not require any material medium for their production and propagation. They can pass through a vacuum or any other material medium.
Some examples of electromagnetic waves are visible light, ultraviolet light, microwaves, radio waves, etc.
  • Wave velocity is the time rate of propagation of wave motion in a given medium. It depends upon the nature of the medium.
Wave velocity (υ) = frequency (v) x wavelength (λ)
  • Matter waves are associated with moving particles of matter, like protons, electrons, neutrons etc.

CBSE CLASS XII Related Questions

  • 1.
    Read the following paragraph and answer the questions that follow.
    In an experiment with convex lens of focal length f, the screen is fixed at a distance D from the object. A student slowly moves the lens away from the object towards the screen and finds that she is able to form sharp image of the object for two positions of the lens. The distance between these two positions of the lens is d.


      • 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.
            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 \( \vec{v}_d \, (|\vec{v}_d| = \frac{eE}{m} \tau) \), where symbols have their usual meanings. Show that the conductivity of the material of the conductor is given by \[ \sigma = \frac{n e^2 \tau}{m}. \]


              • 4.
                Capacitors are manufactured with certain standard capacitances and working voltages. However, these standard values may not be the ones that are actually needed in a particular application. Two or more capacitors can be grouped in series or in parallel to achieve desired capacitance and voltage. When connected in series, the total capacitance decreases while the voltage rating increases, whereas in parallel connections, the total capacitance increases and maintains the same voltage rating. A capacitor stores energy in the electric field between its plates and stored energy is proportional to the square of the voltage and capacitance $U = \frac{1}{2}CV^2$, where symbols have their usual meanings.
                Two capacitors, one of $3 \ \mu$F and the other of $6 \ \mu$F, are connected in series in the circuit as shown in the figure, for a long time. }


                  • 5.
                    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.


                      • 6.
                        Two air-filled capacitors of capacitances $C_1$ and $C_2$ are connected in parallel with a dc battery. After the capacitors are fully charged, a slab of dielectric constant K is inserted between the plates of each capacitor. How will the (i) charge on each capacitor and (ii) energy stored in the capacitor affected after the slab is introduced.

                          CBSE CLASS XII Previous Year Papers

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