The CBSE Class 12 Physics Question Paper 2026 Set 1 is available for download here of CBSE Board Exam 2026. This CBSE 12th Physics solved question paper includes detailed solutions, answer key, and the latest CBSE marking scheme to help students understand the exam pattern and important topics.

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CBSE Class 12 Physics Question PDF Solution PDF
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CBSE Class 12 Physics Question Paper 2026 Set 1 55-5-1

CBSE Class 12 Physics Question Paper 2026 Set 1 55-5-1 Download PDF Check Solutions

Question 1:

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:

  • (A) attract with a force \( \frac{F}{2} \)
  • (B) repel with a force \( \frac{F}{2} \)
  • (C) repel with a force \( F \)
  • (D) attract with a force \( F \)

Question 2:

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:

  • (A) P
  • (B) Q
  • (C) R
  • (D) S

Question 3:

Four long straight thin wires are held vertically at the corners A, B, C and D of a square of side \( a \), kept on a table and carry equal current \( I \). The wire at A carries current in upward direction whereas the current in the remaining wires flows in downward direction. The net magnetic field at the centre of the square will have the magnitude:

  • (A) \( \dfrac{\mu_0 I}{\pi a} \) and directed along OC
  • (B) \( \dfrac{\mu_0 I}{\pi a \sqrt{2}} \) and directed along OD
  • (C) \( \dfrac{\mu_0 I \sqrt{2}}{\pi a} \) and directed along OB
  • (D) \( \dfrac{2\mu_0 I}{\pi a} \) and directed along OA

Question 4:

The magnetic flux through a loop placed in a magnetic field can be changed by changing:

  • (A) area of the loop only
  • (B) the value of magnetic field only
  • (C) orientation of the loop in the magnetic field only
  • (D) any one or more of the factors given in (A), (B) and (C)

Question 5:

Which of the following statements is not true for electric energy in AC form compared to that in DC form?

  • (A) Production of AC is economical.
  • (B) AC can be easily and efficiently converted from one voltage to another.
  • (C) AC can be transmitted economically over long distances.
  • (D) AC is less dangerous.

Question 6:

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

  • (A) \( 0.5 \times 10^3 \, m^{-1} \)
  • (B) \( 6.0 \times 10^2 \, m^{-1} \)
  • (C) \( 7.5 \times 10^2 \, m^{-1} \)
  • (D) \( 1.5 \times 10^3 \, m^{-1} \)

Question 7:

Light of which of the following colours will have the maximum energy in a photon associated with it?

  • (A) Red light
  • (B) Yellow light
  • (C) Green light
  • (D) Blue light

Question 8:

Nuclides with the same number of neutrons are called:

  • (A) Isobars
  • (B) Isotones
  • (C) Isotopes
  • (D) Isomers

Question 9:

The radius of a nucleus of mass number 125 is:

  • (A) 6.0 fm
  • (B) 30 fm
  • (C) 72 fm
  • (D) 150 fm

Question 10:

The energy of an electron in an orbit in hydrogen atom is \( -3.4 \, eV \). Its angular momentum in the orbit will be:

  • (A) \( \dfrac{3h}{2\pi} \)
  • (B) \( \dfrac{2h}{\pi} \)
  • (C) \( \dfrac{h}{\pi} \)
  • (D) \( \dfrac{h}{2\pi} \)

Question 11:

A good diode checked by a multimeter should indicate:

  • (A) high resistance in reverse bias and a low resistance in forward bias
  • (B) high resistance in both forward bias and reverse bias
  • (C) low resistance in both reverse bias and forward bias
  • (D) high resistance in forward bias and low resistance in reverse bias

Question 12:

The rms and the average value of an AC voltage \( V = V_0 \sin \omega t \) over a cycle respectively will be:

  • (A) \( \dfrac{V_0}{2}, \dfrac{V_0}{\sqrt{2}} \)
  • (B) \( \dfrac{V_0}{\pi}, \dfrac{V_0}{2} \)
  • (C) \( \dfrac{V_0}{\sqrt{2}}, 0 \)
  • (D) \( V_0, \dfrac{V_0}{\sqrt{2}} \)

Question 13:

Assertion (A): Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more.

Reason (R): Induced emf produced is directly proportional to the magnetic flux.

  • (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  • (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  • (C) Assertion (A) is true, but Reason (R) is false.
  • (D) Both Assertion (A) and Reason (R) are false.

Question 14:

Assertion (A): In Young’s double-slit experiment, the fringe width for dark and bright fringes is the same.

Reason (R): Fringe width is given by \( \beta = \frac{\lambda D}{d} \), where symbols have their usual meanings.

  • (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  • (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  • (C) Assertion (A) is true, but Reason (R) is false.
  • (D) Both Assertion (A) and Reason (R) are false.

Question 15:

Assertion (A): Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion.

Reason (R): For heavy nuclei, binding energy per nucleon increases with increasing \( Z \) while for light nuclei, it decreases with increasing \( Z \).

  • (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  • (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  • (C) Assertion (A) is true, but Reason (R) is false.
  • (D) Both Assertion (A) and Reason (R) are false.

Question 16:

Assertion (A): Photoelectric effect is a spontaneous phenomenon.

Reason (R): According to the wave picture of radiation, an electron would take hours/days to absorb sufficient energy to overcome the work function and come out from a metal surface.

  • (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  • (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  • (C) Assertion (A) is true, but Reason (R) is false.
  • (D) Both Assertion (A) and Reason (R) are false.

Question 17:

(a) An electric iron rated \( 2.2 \, kW, 220 \, V \) is operated at \( 110 \, V \) supply. Find:

(i) its resistance, and

(ii) heat produced by it in 10 minutes.


Question 17:

(b) A current of \( 4.0 \, A \) flows through a wire of length \( 1 \, m \) and cross-sectional area \( 1.0 \, mm^2 \), when a potential difference of \( 2 \, V \) is applied across its ends.
Calculate the resistivity of the material of the wire.


Question 18:

A plane circular coil is rotated about its vertical diameter with a constant angular speed \( \omega \) in a uniform horizontal magnetic field. Initially the plane of the coil is parallel to the magnetic field. Draw plots showing the variation of the following physical quantities as a function of \( \omega t \), where \( t \) represents time elapsed:
(a) Magnetic flux \( \phi \) linked with the coil, and
(b) emf induced in the coil.


Question 19:

A tank is filled with a liquid to a height of \( 12.5 \, m \). The apparent depth of a needle lying at the bottom of the tank is measured to be \( 9.0 \, m \). Calculate the speed of light in the liquid.


Question 20:

Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]


Question 21:

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


Question 22:

Two parallel plate capacitors X and Y are connected in series to a 6 V battery. They have the same plate area and same plate separation but capacitor X has air between its plates, whereas capacitor Y contains a material of dielectric constant 4.

(a) Calculate the capacitances of X and Y, if the equivalent capacitance of the combination of X and Y is \( 4 \, \muF \).
(b) Calculate the potential difference across the plates of X and Y.


Question 23:

Write the expression for the magnetic field due to a current element in vector form. Consider a 1 cm segment of a wire, centered at the origin, carrying a current of 10 A in positive x-direction. Calculate the magnetic field \( \mathbf{B} \) at a point \( (1 \, m, 1 \, m, 0) \).


Question 24:

A long solenoid of length \( L \) and radius \( r_1 \) having \( N_1 \) turns is surrounded symmetrically by a coil of radius \( r_2 \, (r_2 > r_1) \) having \( N_2 \) turns (\( N_2 \ll N_1 \)) around its mid-point. Derive an expression for the mutual inductance of solenoid and coil. Is \( M_{12} = M_{21} \) valid in this case?


Question 25:

What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?


Question 26:

(a) (i) Write any two features of nuclear forces.


Question 26:

(a) (ii) If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.


Question 26:

(b) (i) Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.


Question 26:

(b) (ii) 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.


Question 27:

Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, eV \)) when light of frequency \( 6.4 \times 10^{14} \, Hz \) is incident on it. Calculate:
(a) Energy of a photon in the incident light,
(b) The maximum kinetic energy of the emitted electrons, and
(c) The stopping potential.


Question 28:

Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.


Question 29:

(i) The electric field \( \vec{E} \) in the region between the plates is:

  • (A) \( \left(2 \times 10^2 \, \frac{V}{m}\right) \hat{k} \)
  • (B) \( -\left(2 \times 10^2 \, \frac{V}{m}\right) \hat{k} \)
  • (C) \( \left(2 \times 10^4 \, \frac{V}{m}\right) \hat{k} \)
  • (D) \( -\left(2 \times 10^4 \, \frac{V}{m}\right) \hat{k} \)

Question 29:

(ii) In the region between the plates, the electron moves with an acceleration \( \vec{a} \) given by:

  • (A) \( -\left(3.5 \times 10^{15} \, m s^{-2}\right) \hat{k} \)
  • (B) \( \left(3.5 \times 10^{15} \, m s^{-2}\right) \hat{k} \)
  • (C) \( \left(3.5 \times 10^{13} \, m s^{-2}\right) \hat{i} \)
  • (D) \( -\left(3.5 \times 10^{13} \, m s^{-2}\right) \hat{i} \)

Question 29:

(iii) (a) Time interval during which an electron moves through the region between the plates is:

  • (A) \( 9.0 \times 10^{-9} \, s \)
  • (B) \( 1.67 \times 10^{-8} \, s \)
  • (C) \( 1.67 \times 10^{-9} \, s \)
  • (D) \( 2.17 \times 10^{-9} \, s \)

Question 29:

(iii) (b) The vertical displacement of the electron which travels through the region between the plates is:

  • (A) 10 mm
  • (B) 4.9 mm
  • (C) 5.9 mm
  • (D) 3.0 mm

Question 29:

(iv) Which one of the following is the path traced by the electron in between the two plates?

  • (A) a
  • (B) b
  • (C) c
  • (D) d

Passage: In a Young’s double-slit experiment, the two slits behave as coherent sources.
When coherent light waves superpose over each other they create an interference pattern of
successive bright and dark regions due to constructive and destructive interference.
Two slits 2 mm apart are illuminated by a source of monochromatic light and the interfer-
ence pattern is observed on a screen 5.0 m away from the slits as shown in the figure.

Question 30:

(i) What property of light does this interference experiment demonstrate?

  • (A) Wave nature of light
  • (B) Particle nature of light
  • (C) Transverse nature of light
  • (D) Both wave nature and transverse nature of light

Question 30:

(ii) (a)The wavelength of light used in this experiment is:

  • (A) 720 nm
  • (B) 590 nm
  • (C) 480 nm
  • (D) 364 nm

Question 30:

(ii) (b) The fringe width in the interference pattern formed on the screen is:

  • (A) 1.2 mm
  • (B) 0.2 mm
  • (C) 4.2 mm
  • (D) 6.8 mm

Question 30:

(iii) The path difference between the two waves meeting at point P, where there is a minimum in the interference pattern is:

  • (A) \( 8.1 \times 10^{-7} \, m \)
  • (B) \( 7.2 \times 10^{-7} \, m \)
  • (C) \( 6.5 \times 10^{-7} \, m \)
  • (D) \( 6.0 \times 10^{-7} \, m \)

Question 30:

(iv) When the experiment is performed in a liquid of refractive index greater than 1, then fringe pattern will:

  • (A) disappear
  • (B) become blurred
  • (C) be widened
  • (D) be compressed

Question 31:

(a) (i) Derive the condition for which a Wheatstone Bridge is balanced.


Question 32:

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


Question 32:

(b) (i) 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 \[ \sigma = \frac{n e^2 \tau}{m}. \]


Question 32:

(b) (ii) The resistance of a metal wire at \( 20^\circ C \) is \( 1.05 \, \Omega \) and at \( 100^\circ C \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.


Question 32:

(a) (i) A rectangular loop of sides \( a \) and \( b \) carrying current \( I \) is placed in a magnetic field \( \vec{B} \) such that its area vector \( \vec{A} \) makes an angle \( \theta \) with \( \vec{B} \). With the help of a suitable diagram, show that the torque \( \vec{\tau} \) acting on the loop is given by \( \vec{\tau} = \vec{m} \times \vec{B} \), where \( \vec{m} (= I \vec{A}) \) is the magnetic dipole moment of the loop.


Question 33:

(a) (ii) A circular coil of 100 turns and radius \( \left(\frac{10}{\sqrt{\pi}}\right) \, cm \) carrying current of \( 5.0 \, A \) is suspended vertically in a uniform horizontal magnetic field of \( 2.0 \, T \). The field makes an angle \( 30^\circ \) with the normal to the coil. Calculate:

(i) the magnetic dipole moment of the coil, and

(ii) the magnitude of the counter torque that must be applied to prevent the coil from turning.


Question 33:

(b) (i) Derive an expression for the force \( \vec{F} \) acting on a conductor of length \( L \) and area of cross-section \( A \) carrying current \( I \) and placed in a magnetic field \( \vec{B} \).


Question 33:

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


Question 33:

(a) (i) A parallel beam of monochromatic light falls normally on a single slit of width \( a \) and a diffraction pattern is observed on a screen placed at a distance \( D \) from the slit. Explain:

(I) the formation of maxima and minima in the diffraction pattern, and

(II) why the maxima go on becoming weaker and weaker with increasing order \( (n) \).


Question 33:

(a) (ii) Write any two points of difference between interference pattern due to double-slit and diffraction pattern due to single-slit.


Question 33:

(b) (i) With the help of a ray diagram, describe the construction and working of a compound microscope.


Question 33:

(b) (ii) (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.

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