JEE Mains Question Paper 24 January 2026 Shift 2

Q1. A thin plano-convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane side of the lens is silver coated for complete reflection, the lens immersed in the liquid behaves like a concave mirror of focal length 0.2 m. The radius of curvature of the curved surface of the lens is:

• (1) 0.15 m
• (2) 0.10 m
• (3) 0.20 m
• (4) 0.25 m

Answer: 0.10 m

Q1. Which of the following statements are NOT true about the periodic table?
A. The properties of elements are a function of atomic weights.
B. The properties of elements are a function of atomic numbers.
C. Elements having similar outer electronic configuration are arranged in the same period.
D. An element's location reflects the quantum numbers of the last filled orbital.
E. The number of elements in a period is the same as the number of atomic orbitals available in the energy level that is being filled.

1. (1) A, C, and E Only
2. (2) D and E Only
3. (3) A and E Only
4. (4) B, C, and E Only

Q1. Number of arrangements of letters of MISSISSIPPI is:

1. 34, 650
2. 34, 320
3. 25, 200
4. 27, 720

Q2. The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright fringes of 480 nm light that are required for the first coincidence with the bright fringes formed by 600 nm light is:

• (1) 4
• (2) 8
• (3) 6
• (4) 5

Answer: 5

Q2. The large difference between the melting and boiling points of oxygen and sulphur may be explained on the basis of

• (1) Atomic size
• (2) Atomicity
• (3) Electronegativity
• (4) Electron gain enthalpy

Q2. If the equation 2x2- 4x+k= 0

1. 1
2. 2
3. 4
4. 8

B. Solar cells are not connected with any external bias.
C. LED is made of lightly doped p-n junction.
D. Increase of forward current results in a continuous increase in LED light intensity.
E. LEDs have to be connected in forward bias for emission of light.

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

Answer: B, E Only

Q3. An ideal gas goes from an initial state to final state. During the process, the pressure of the gas increases linearly with temperature.
A. The work done by gas during the process is zero.
B. The heat added to the gas is different from the change in its internal energy.
C. The volume of the gas is increased.
D. The internal energy of the gas is increased.
E. The process is isochoric (constant volume process).
Choose the correct answer from the options given below:

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

Answer: A, D, E Only

Q3. A card is drawn from a standard deck. Probability that it is a red card is:

1. 1/13
2. ¼
3. ½
4. 2/4

Q4. During the transition of an electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000 Å, and it becomes 6000 Å when the electron jumps from state B to state C. Then the wavelength of the radiation emitted during the transition of electrons from state A to state B is:

• (1) 3000 Å
• (2) 6000 Å
• (3) 4000 Å
• (4) 2000 Å

Answer: 3000 Å

Q4. Which f the following has maximum lattic energy?

1. NACl
2. KCl
3. Mg0
4. CsCL

Answer: Mg0

Q4. Number of 4-digit numbers formed using 1-7 without repetition:

1. 840
2. 210
3. 1680
4. 504

Answer: 840

Q5. A body of mass 2 kg moves with velocity 10 m/s/ It’s kinetic energy is”

1. 50 J
2. 100 J
3. 200 J
4. 400 J

Answer: 100 J

Q5. Which of the following solutions will have the highest boiling point?

1. 0.1 m NaCl
2. 0.1 m KCl
3. 0.1 m glucose
4. 0.1 m CaCl2

Answer: 0.1 m CaCl2

Q5. Probability of getting a head when a coin is tossed:

1. 0
2. ¼
3. ½
4. 1

Answer: ½