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Sections:
Physics
Chemistry
Mathematics
Q1. Physics
A car accelerates uniformly from rest to 20 m/s in 10 s. The acceleration is:
A. 1 m/s²
B. 2 m/s²
C. 0.5 m/s²
D. 4 m/s²
Correct Answer: B
a = (v-u)/t = (20-0)/10 = 2 m/s².
Q2. Physics
The magnetic field inside a solenoid is:
A. Zero
B. Uniform
C. Varying linearly
D. Maximum at ends
Correct Answer: B
B = μ₀nI inside a long solenoid — uniform field.
Q3. Physics
A body is projected vertically upward with velocity 20 m/s. Maximum height reached is (g=10 m/s²):
A. 10 m
B. 20 m
C. 40 m
D. 5 m
Correct Answer: B
H = u²/2g = 400/20 = 20 m.
Q4. Physics
Which of the following has the highest penetrating power?
A. α-rays
B. β-rays
C. γ-rays
D. UV rays
Correct Answer: C
Gamma rays have the highest penetrating power due to their high energy and no charge.
Q5. Physics
The efficiency of a Carnot engine operating between 500 K and 300 K is:
Correct Answer: B
η = 1 - T₂/T₁ = 1 - 300/500 = 0.4 = 40%.
Q6. Physics
The unit of electric current in SI is:
A. Coulomb
B. Ampere
C. Volt
D. Ohm
Correct Answer: B
Electric current is measured in Amperes (A).
Q7. Physics
Two resistors 4 Ω and 6 Ω are connected in series. The total resistance is:
A. 2.4 Ω
B. 10 Ω
C. 24 Ω
D. 4 Ω
Correct Answer: B
Rₛ = 4 + 6 = 10 Ω.
Q8. Physics
The momentum of a photon of energy E is:
A. E/c²
B. E/c
C. Ec
D. hE/c
Correct Answer: B
p = E/c for a photon (since E = pc).
Q9. Physics
The temperature at which Celsius and Fahrenheit scales read the same is:
A. 0°
B. 32°
C. -40°
D. 100°
Correct Answer: C
C/5 = (F-32)/9. Set C = F = x: x/5 = (x-32)/9 → 9x = 5x-160 → x = -40.
Q10. Physics
Young's modulus is defined for which type of deformation?
A. Shear
B. Longitudinal strain
C. Volume strain
D. Torsion
Correct Answer: B
Y = stress/strain for longitudinal (tensile/compressive) deformation.
Q11. Chemistry
Which of the following is a Lewis acid?
A. NH₃
B. AlCl₃
C. H₂O
D. OH⁻
Correct Answer: B
AlCl₃ is electron deficient (can accept electron pair), hence a Lewis acid.
Q12. Chemistry
The number of moles in 18 g of H₂O is:
Correct Answer: B
Molar mass of H₂O = 18 g/mol. n = 18/18 = 1 mol.
Q13. Chemistry
Which of these is NOT a greenhouse gas?
A. CO₂
B. CH₄
C. O₂
D. H₂O vapor
Correct Answer: C
Oxygen (O₂) is not a greenhouse gas. CO₂, CH₄, and H₂O vapor are GHGs.
Q14. Chemistry
The hybridization of carbon in methane is:
Correct Answer: C
CH₄ has 4 bond pairs + 0 lone pairs → sp³ hybridization, tetrahedral shape.
Q15. Chemistry
The most abundant element in Earth's crust is:
A. Iron
B. Oxygen
C. Silicon
D. Aluminum
Correct Answer: B
Oxygen (~46.6%) is the most abundant element in Earth's crust.
Q16. Chemistry
Which bond has the highest bond energy?
A. C-C
B. C=C
C. C≡C
D. All equal
Correct Answer: C
Triple bond (C≡C) has highest bond energy — 839 kJ/mol vs 614 for double, 348 for single.
Q17. Chemistry
The color of phenolphthalein in basic medium is:
A. Colorless
B. Pink
C. Blue
D. Yellow
Correct Answer: B
Phenolphthalein is colorless in acid and pink in base (pH > 8.3).
Q18. Chemistry
The number of isomeric pentanes (C₅H₁₂) possible is:
Correct Answer: B
Pentane has 3 isomers: n-pentane, isopentane, neopentane.
Q19. Chemistry
Which metal does not react with dilute HCl?
Correct Answer: C
Copper is below hydrogen in reactivity series, so does not react with dilute HCl.
Q20. Chemistry
The functional group in alcohol is:
A. -CHO
B. -COOH
C. -OH
D. -NH₂
Correct Answer: C
Alcohols contain the hydroxyl (-OH) functional group.
Q21. Mathematics
If f(x) = 2x + 1, find f(3):
Correct Answer: C
f(3) = 2(3) + 1 = 7.
Q22. Mathematics
The slope of line passing through (1,2) and (3,6) is:
Correct Answer: B
m = (6-2)/(3-1) = 4/2 = 2.
Q23. Mathematics
The value of log₁₀ 1000 is:
Correct Answer: C
log₁₀ 1000 = log₁₀ 10³ = 3.
Q24. Mathematics
The sum of angles in a triangle is:
A. 90°
B. 180°
C. 180°
D. 360°
Correct Answer: C
Sum of interior angles of a triangle = 180°.
Q25. Mathematics
The median of 1, 3, 5, 7, 9 is:
Correct Answer: C
Middle value of sorted 5 numbers = 5.
Q26. Mathematics
The quadratic equation whose roots are 1 and 2 is:
A. x² - 3x + 2 = 0
B. x² - 3x + 2 = 0
C. x² + 3x + 2 = 0
D. x² - x + 2 = 0
Correct Answer: B
Sum = 3, Product = 2 → x² - 3x + 2 = 0.
Q27. Mathematics
The number of permutations of 3 objects taken 2 at a time is:
Correct Answer: B
³P₂ = 3!/(3-2)! = 6.
Q28. Mathematics
If sin A = 1/2, then the value of A (acute) is:
Correct Answer: B
sin 30° = 1/2.
Q29. Mathematics
The area of a circle with radius 7 cm is:
A. 144 cm²
B. 154 cm²
C. 154 cm²
D. 44 cm²
Correct Answer: C
A = πr² = (22/7) × 49 = 154 cm².
Q30. Mathematics
The value of 5! is:
Correct Answer: C
5! = 5×4×3×2×1 = 120.