JEE Main January 2025 — Shift 1

90 Questions 300 Marks 180 Minutes +4 per correct answer
Time Remaining:180:00

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?? Disclaimer: This is a practice paper with simulated questions based on the exam pattern. It is not the actual exam question paper. Not affiliated with the official examination body.
Sections: Physics Chemistry Mathematics
Q1. [+4, -1] Physics
⚠ Negative Marking: -1 mark for each wrong MCQ (no negative for Numerical Answer questions)
A ball dropped from height h hits the ground with speed v. The value of v is proportional to:
A. h
B. vh
C. h²
D. 1/h
Correct Answer: B
v = v(2gh) ? v ? vh.
Q2. [+4, -1] Physics
If the distance between two charges is halved, the force between them becomes:
A. Half
B. Double
C. Four times
D. Same
Correct Answer: C
F ? 1/r². If r ? r/2, F ? 4F.
Q3. [+4, -1] Physics
SI unit of resistance is:
A. Volt
B. Ampere
C. Coulomb
D. Ohm
Correct Answer: D
Resistance is measured in Ohms (O).
Q4. [+4, -1] Physics
Hooke's law relates stress and:
A. Force
B. Strain
C. Area
D. Volume
Correct Answer: B
Within elastic limit, stress ? strain (Hooke's law).
Q5. [+4, -1] Physics
The Doppler effect in sound is observed when there is relative motion between source and:
A. Observer only
B. Medium only
C. Observer or source
D. Neither
Correct Answer: C
Doppler effect occurs when source or observer is in motion relative to each other.
Q6. [+4, -1] Physics
The SI unit of magnetic flux is:
A. Tesla
B. Gauss
C. Weber
D. Henry
Correct Answer: C
Magnetic flux is measured in Webers (Wb).
Q7. [+4, -1] Physics
A body of mass 1 kg has weight approximately:
A. 1 N
B. 10 N
C. 100 N
D. 0.1 N
Correct Answer: B
W = mg = 1 × 10 = 10 N (approx).
Q8. [+4, -1] Physics
The phenomenon of splitting of white light into its components is called:
A. Reflection
B. Refraction
C. Dispersion
D. Diffraction
Correct Answer: C
Dispersion is the splitting of white light into its constituent colors (VIBGYOR).
Q9. [+4, -1] Physics
Transformer works on the principle of:
A. Self induction
B. Mutual induction
C. Electromagnetic induction
D. Both B and C
Correct Answer: D
Transformer works on electromagnetic induction via mutual induction between coils.
Q10. [+4, -1] Physics
The speed of sound is maximum in:
A. Air
B. Water
C. Steel
D. Vacuum
Correct Answer: C
Sound travels fastest in solids (steel ~5000 m/s) due to close molecular arrangement.
Q11. [+4, -1] Chemistry
Atomic number of oxygen is:
A. 6
B. 7
C. 8
D. 16
Correct Answer: C
Oxygen has atomic number 8 (configuration 1s²2s²2p4).
Q12. [+4, -1] Chemistry
Which of the following is a strong acid?
A. CH3COOH
B. HCl
C. H2CO3
D. H2S
Correct Answer: B
HCl completely dissociates in water ? strong acid.
Q13. [+4, -1] Chemistry
The gas used in welding is:
A. Methane
B. Ethane
C. Acetylene
D. Propane
Correct Answer: C
Acetylene (C2H2) produces high temperature flame used in oxy-acetylene welding.
Q14. [+4, -1] Chemistry
The molar mass of CaCO3 is:
A. 50 g/mol
B. 84 g/mol
C. 100 g/mol
D. 150 g/mol
Correct Answer: C
Ca(40) + C(12) + 3O(48) = 100 g/mol.
Q15. [+4, -1] Chemistry
Which of the following elements is liquid at room temperature?
A. Sodium
B. Mercury
C. Gold
D. Silver
Correct Answer: B
Mercury (Hg) and bromine (Br2) are the only elements liquid at room temp.
Q16. [+4, -1] Chemistry
The chemical name of common salt is:
A. Sodium nitrate
B. Sodium chloride
C. Sodium carbonate
D. Sodium hydroxide
Correct Answer: B
Common salt is NaCl — Sodium chloride.
Q17. [+4, -1] Chemistry
The number of valence electrons in carbon is:
A. 2
B. 3
C. 4
D. 5
Correct Answer: C
Carbon (Z=6) has electronic configuration 2,4 ? 4 valence electrons.
Q18. [+4, -1] Chemistry
Which process is used to separate crude oil into useful fractions?
A. Distillation
B. Crystallization
C. Fractional distillation
D. Chromatography
Correct Answer: C
Fractional distillation separates petroleum into fractions based on boiling points.
Q19. [+4, -1] Chemistry
The pH of 0.001 M NaOH is approximately:
A. 3
B. 7
C. 10
D. 11
Correct Answer: D
[OH?] = 10?³, pOH = 3, pH = 14 - 3 = 11.
Q20. [+4, -1] Chemistry
Which of these is a noble gas?
A. Cl2
B. N2
C. Xenon
D. O2
Correct Answer: C
Xenon (Xe) is a noble gas. Cl2, N2, O2 are diatomic gases.
Q21. [+4, -1] Mathematics
The number of ways to arrange letters of word CAT is:
A. 3
B. 4
C. 6
D. 9
Correct Answer: C
3! = 6 ways (CAT, CTA, ACT, ATC, TCA, TAC).
Q22. [+4, -1] Mathematics
The value of sin²30° + cos²30° is:
A. 0
B. 1/2
C. 1
D. 3/4
Correct Answer: C
sin²? + cos²? = 1 (identity).
Q23. [+4, -1] Mathematics
The nth term of AP: 2, 5, 8, 11... is:
A. 3n - 1
B. 3n - 1
C. 2n + 1
D. n + 2
Correct Answer: B
a = 2, d = 3, T? = 2 + (n-1)3 = 3n - 1.
Q24. [+4, -1] Mathematics
The solution of 2x + 3 = 7 is:
A. 1
B. 2
C. 3
D. 4
Correct Answer: B
2x = 4 ? x = 2.
Q25. [+4, -1] Mathematics
Which of these is a perfect square?
A. 20
B. 24
C. 36
D. 48
Correct Answer: C
36 = 6². Others are not perfect squares.
Q26. [+4, -1] Mathematics
The mode of 1, 2, 2, 3, 3, 3, 4 is:
A. 2
B. 3
C. 4
D. 1
Correct Answer: B
3 appears 3 times (highest frequency).
Q27. [+4, -1] Mathematics
The probability of getting a head when a fair coin is tossed is:
A. 0
B. 1/4
C. 1/2
D. 1
Correct Answer: C
P(Head) = 1/2 (favorable outcomes / total outcomes).
Q28. [+4, -1] Mathematics
The value of i² (where i = v-1) is:
A. 1
B. -1
C. i
D. -i
Correct Answer: B
i² = -1 (fundamental property of imaginary numbers).
Q29. [+4, -1] Mathematics
The range of the function f(x) = x² is:
A. All real numbers
B. [0, 8)
C. (-8, 0]
D. (0, 8)
Correct Answer: B
x² = 0 for all real x ? range [0, 8).
Q30. [+4, -1] Mathematics
The sum of first n odd natural numbers is:
A. n
B. 2n
C. n²
D. n(n+1)/2
Correct Answer: C
1 + 3 + 5 + ... + (2n-1) = n².