SRMJEEE 2026 June 10 Shift 1 Question Paper: Download Answer Key with Solution PDF

Monochromatic light of frequency \( 8 \times 10^{14} \, Hz \) is incident on a metal surface whose threshold frequency is \( 5 \times 10^{14} \, Hz \). The stopping potential is approximately:
(Given \( h = 6.6 \times 10^{-34} \, J s \), \( e = 1.6 \times 10^{-19} \, C \))

• (A) 0.62 V
• (B) 1.24 V
• (C) 2.48 V
• (D) 3.72 V

A planet has mass \( 81 M_E \) and radius \( 9 R_E \), where \( M_E \) and \( R_E \) are the mass and radius of Earth respectively. The escape velocity from the planet is:

• (A) Equal to Earth's escape velocity
• (B) 3 times Earth's escape velocity
• (C) \( \frac{1}{3} \) times Earth's escape velocity
• (D) 9 times Earth's escape velocity

The depletion region width of a p-n junction is \( 4 \times 10^{-6} \, m \) and the potential barrier is \( 0.8 \, V \). The electric field intensity in the depletion region is:

• (A) \( 1 \times 10^5 \, V/m \)
• (B) \( 2 \times 10^5 \, V/m \)
• (C) \( 4 \times 10^5 \, V/m \)
• (D) \( 8 \times 10^5 \, V/m \)

An AC source of frequency \( 50 \, Hz \) is connected to a pure capacitor. The phase difference between voltage and current is:

• (A) \( 0^\circ \)
• (B) \( 45^\circ \)
• (C) \( 90^\circ \) (current leads)
• (D) \( 90^\circ \) (voltage leads)

An object of height \( 4 \, cm \) is placed \( 15 \, cm \) in front of a convex lens of focal length \( 10 \, cm \). The height of the image formed is:

• (A) \( 4 \, cm \)
• (B) \( 6 \, cm \)
• (C) \( 8 \, cm \)
• (D) \( 12 \, cm \)

The statement that is NOT correct is:

• (A) Angular quantum number signifies the shape of the orbital
• (B) Energies of stationary states in hydrogen like atoms is inversely proportional to the square of the principal quantum number
• (C) Total number of nodes for 3s orbital is three.
• (D) The radius of the first orbit of \( He^+ \) is half that of the first orbit of hydrogen atom.

Which of following is correct?

• (A) the lowering of vapour pressure is equal to the mole fraction of solute
• (B) the relative lowering of vapour pressure is equal to the mole fraction of solute
• (C) the relative lowering of vapour pressure is proportional to the amount of solute in solution
• (D) the vapour pressure of the solution is equal to the mole fraction of solvent

\( K_2HgI_4 \) is \( 40% \) ionised in aqueous solution. The value of its van't Hoff factor (i) is:

• (A) 1.6
• (B) 1.8
• (C) 2.2
• (D) 2.0

The molal boiling point elevation constant for water is \( 0.510 \, K mol^{-1} kg \). The boiling point of a solution made by dissolving \( 6.0 \, g \) urea in \( 200 \, g \) water is:

• (A) \( 100.255^°C \)
• (B) \( 100^°C \)
• (C) \( 0.255^°C \)
• (D) \( 99.1^°C \)

For an ideal binary liquid mixture:

• (A) \( \Delta S_{(mix)} = 0; \Delta G_{(mix)} = 0 \)
• (B) \( \Delta H_{(mix)} = 0; \Delta S_{(mix)} < 0 \)
• (C) \( \Delta V_{(mix)} = 0; \Delta G_{(mix)} > 0 \)
• (D) \( \Delta S_{(mix)} > 0; \Delta G_{(mix)} < 0 \)

The indefinite integral of \( \sin(x) \) w.r.t \( \cos(x) \) is:

• (A) \( \frac{\sin(2x)}{4} + \frac{x}{2} + c \)
• (B) \( \frac{\sin(2x)}{4} - \frac{x}{2} + c \)
• (C) \( 2\sin(2x) + c \)
• (D) \( \sin(x)+\cos(x) + c \)

The equation of the lines through \( (1, 1) \) and making angles of \( 45^\circ \) with the line \( x + y = 0 \) are:

• (A) \( x-1=0, x-y=0 \)
• (B) \( x-y=0, y-1=0 \)
• (C) \( x+y-2=0, y-1=0 \)
• (D) \( x-1=0, y-1=0 \)

If the standard deviation of \( n \) elements of the series \( x_1, x_2, x_3, \dots, x_n \) is \( \sigma \), then find the variance of the series \( ax_1, ax_2, ax_3, \dots, ax_n \) is:

• (A) \( a^2\sigma \)
• (B) \( a^2 n\sigma \)
• (C) \( a\sigma \)
• (D) \( a^2\sigma^2 \)

If \( 1 + \sin\theta + \sin^2\theta + \dots upto \infty = 2\sqrt{3} + 4 \), then \( \theta = \)

• (A) \( \frac{3\pi}{4} \)
• (B) \( \frac{\pi}{3} \)
• (C) \( \frac{\pi}{4} \)
• (D) \( \frac{\pi}{6} \)

Find the value of \( \left| \begin{matrix} 0 & c & b
c & 0 & a
b & a & 0 \end{matrix} \right|^2 \)

• (A) \( a^2b^2c^2 \)
• (B) \( 4a^2b^2c^2 \)
• (C) \( 2a^2b^2c^2 \)
• (D) \( (a+b+c)^2 \)