JEE Main 2026 April 5 Shift 2 Physics Question Paper with Solutions PDF

If \(x\) gm of water at \(50°\) cools to \(0°\), the heat released is \(H\). If \((100 - x)\) gm of water at \(50°\) is completely vapourised, the heat required is also \(H\). Find \(x\).

• (A) \(8\,gm\)
• (B) \(20\,gm\)
• (C) \(92.18\,gm\)
• (D) \(80\,gm\)

Friction is sufficient so that the block does not slide. Find the work done by friction in \(2\) sec.

• (A) \(45\)
• (B) \(40\)
• (C) \(20\)
• (D) \(10\)

A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first \(2\) sec it rotates through an angle \(\theta_1\) and in the next \(2\) sec it rotates an angle \(\theta_2\). Find the ratio \(\theta_2/\theta_1\).

• (A) \(5\)
• (B) \(2\)
• (C) \(4\)
• (D) \(3\)

There is a metallic ring of radius \(20\,cm\) placed in a uniform unsteady magnetic field \(B = (2t^2 + 2t + 3)\,T\) perpendicular to the plane of the ring. If the resistance of the ring is \(2\,\Omega\), find the induced current at \(t = 2\,s\). \([\pi = 22/7]\)

• (A) \(0.63\,A\)
• (B) \(0.063\,A\)
• (C) \(0.3\,A\)
• (D) \(6.3\,A\)

An electron travelling with velocity \(v\) in free space enters a medium where its velocity is reduced by \(20%\). The de-Broglie wavelength of the electron in the medium is \(\alpha \lambda_0\), where \(\lambda_0\) is the wavelength in free space. Find the value of \(\alpha\).

• (A) \(1.25\)
• (B) \(1.5\)
• (C) \(0.8\)
• (D) \(0.125\)

In a YDSE setup slit separation is \(d = 5\lambda\), where \(\lambda\) is wavelength of light and screen is placed at distance \(D = 10d\). If maximum intensity is \(I_0\), find intensity at a point directly in front of one of the slit.

• (A) \(I_0\)
• (B) \(\frac{I_0}{3}\)
• (C) \(\frac{I_0}{2}\)
• (D) \(\frac{I_0}{6}\)

If the rolling object reaches a maximum height \(\frac{7v_0^2}{10g}\), what may be the object?

• (A) Solid sphere
• (B) Ring
• (C) Disc
• (D) Hollow sphere

Find the distance of the final image from the second lens. Given \(f_1 = 10\,cm\), \(f_2 = 15\,cm\). The object is placed \(15\,cm\) to the left of the first lens and the separation between the lenses is \(15\,cm\).

• (A) \(15\,cm\)
• (B) \(\infty\)
• (C) \(7.5\,cm\)
• (D) \(30\,cm\)

If across a resistance, voltage applied is \((20 \pm 0.2)\,V\) and the current passing through it is \((10 \pm 0.1)\,A\). Find the maximum error in resistance.

• (A) \(0.04\)
• (B) \(0.05\)
• (C) \(0.06\)
• (D) \(0.07\)

Magnetic field at a distance \(x\) from point \(C\) as shown in the figure on rod is \(B = B_0 e^{-\lambda x}\), find induced emf between ends of metallic rod.

• (1) \( \dfrac{B_0\omega}{\lambda^2}\left(1 - e^{-\lambda L}(1 + \lambda L)\right) \)
• (2) \( \dfrac{B_0\omega}{\lambda^2}\left(L - e^{-\lambda L}(1 + \lambda L)\right) \)
• (3) \( \dfrac{B_0\omega}{\lambda^2}\left(L - e^{-2\lambda L}(1 + \lambda L)\right) \)
• (4) \( \dfrac{B_0\omega}{\lambda^2}\left(2L - e^{-\lambda L}(1 + \lambda L)\right) \)

In PN junction, if P side is highly doped and N side is lightly doped, then

• (1) depletion layer has more region in P side
• (2) depletion layer has more region in N side
• (3) depletion layer has equal region in both side
• (4) there will be no depletion layer

Find magnitude of acceleration of particle at \(t = 5\,s\). If velocity–time graph is given as shown in figure.

• (A) \( \dfrac{u_0}{20} \)
• (B) \( \dfrac{u_0}{40} \)
• (C) \( \dfrac{u_0}{10} \)
• (D) \( u_0 \)

In an RLC series circuit the value of \(R, L\) and \(C\) is given as \(R = 50\Omega\), \(L = 1.6\,H\) and \(C = 40\mu F\). Find the value inductive reactance \((X_L)\) at resonance.

• (A) \(50\Omega\)
• (B) \(100\Omega\)
• (C) \(200\Omega\)
• (D) \(400\Omega\)

A rod has volume \(V\) and Young's modulus \(Y\) and is subjected to stress \(\tau\). Find elastic energy stored in the rod.

• (A) \( \dfrac{1}{2}\dfrac{\tau^2 V}{Y} \)
• (B) \( \dfrac{1}{2}\dfrac{\tau V}{Y} \)
• (C) \( \dfrac{1}{2}\dfrac{\tau V}{Y^2} \)
• (D) \( \dfrac{1}{2}\dfrac{\tau V^2}{Y} \)

Match the column according to dimensions.

• (1) A-1, B-2, C-3, D-4
• (2) A-4, B-3, C-1, D-2
• (3) A-4, B-3, C-2, D-1
• (4) A-1, B-3, C-4, D-2

Escape velocity on earth is \(V_e=\sqrt{2gR}\). A planet has half the radius of earth and density equal to half that of earth. If escape speed from that planet is \(\dfrac{V_0}{N}\), find \(N\).

• (1) \(4\)
• (2) \(6\)
• (3) \(2\)
• (4) \(8\)

Match the column :

• (1) A-R, B-P, C-S, D-Q
• (2) A-S, B-Q, C-R, D-P
• (3) A-R, B-P, C-Q, D-S
• (4) A-S, B-Q, C-P, D-R

8 small liquid drops combine to form a bigger drop. Surface tension of liquid is \(T\). Find change in surface potential energy.

• (1) \(32\pi r^2T\)
• (2) \(16\pi r^2T\)
• (3) \(8\pi r^2T\)
• (4) \(6\pi r^2T\)

Find ratio of potential energy of a body at point A to point B for the figure shown.

• (1) \(1:3\)
• (2) \(2:3\)
• (3) \(3:1\)
• (4) \(1:2\)

Find the voltage across the capacitor in steady state.

• (1) \(1\,V\)
• (2) \(0.5\,V\)
• (3) \(\dfrac{3}{2}\,V\)
• (4) \(4\,V\)

Assertion: EM radiation when falls on a surface exerts pressure.

Reason: Radiation has no rest mass.

• (1) A and R both are correct and R is correct explanation of A
• (2) A and R both are correct but R is not correct explanation of A
• (3) A is correct but R is incorrect
• (4) A is incorrect but R is correct

Figure shows a circuit consisting of cell of emf \(E\) and internal resistance \(r\) connected in series with external resistance \(R\). When \(R = 5\Omega\), current \(i = 1\,A\) and when \(R = 2\Omega\), current \(i = 2\,A\). Find \(r\) (in ohm).

• (1) \(1\Omega\)
• (2) \(2\Omega\)
• (3) \(3\Omega\)
• (4) \(4\Omega\)

A thin convex lens and a thin concave lens are kept coaxially in contact. Choose the correct option.

• (1) Focal length changes when positions of lenses are interchanged
• (2) Behaves as a convex lens when \(f_{convex} > f_{concave}\)
• (3) Behaves as a concave lens when \(f_{concave} > f_{convex}\)
• (4) Behaves as convex when \(f_{convex} < f_{concave}\)

Find binding energy of \(^{12}_{6}C\). Given mass of proton \(m_p = 1.0078\,u\) and mass of neutron \(m_n = 1.0087\,u\).

• (1) \(92.19\,MeV\)
• (2) \(80.20\,MeV\)
• (3) \(85.19\,MeV\)
• (4) \(100.19\,MeV\)