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Sections: PhysicsChemistryMathematics
Q1. [+4, -1] Physics
⚠ Negative Marking: -1 mark for each wrong MCQ (no negative for Numerical Answer questions)
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.
Q2. [+4, -1] Physics
A convex lens has focal length 20 cm. At what distance from the lens should an object be placed to get a real image twice the size of object?
A. 40 cm
B. 30 cm
C. 20 cm
D. 60 cm
Correct Answer: B
Magnification m = -2 (real image). m = v/u = -2 -> v = -2u. Lens formula: 1/f = 1/v - 1/u. 1/20 = 1/(-2u) - 1/u = -3/(2u). u = -30 cm. So object distance = 30 cm.
Q3. [+4, -1] Physics
A wire of resistance R is stretched to double its length. New resistance will be:
Correct Answer: C
When length is doubled (L' = 2L), cross-sectional area halves (A' = A/2). R' = L'/A' = (2L)/(A/2) = 4L/A = 4R.
Q4. [+4, -1] Mathematics
The sum of first 10 natural numbers is:
Correct Answer: B
Sum = n(n+1)/2 = 10x11/2 = 55.
Q5. [+4, -1] Chemistry
Which element has the highest ionization energy?
Correct Answer: C
Helium has the highest ionization energy due to its full 1s^2 configuration and small atomic size.
Q6. [+4, -1] Chemistry
Which gas is known as "Laughing Gas"?
Correct Answer: B
Nitrous oxide (NO) is called laughing gas due to its euphoric effects when inhaled.
Q7. [+4, -1] Mathematics
Find the derivative of f(x) = sin(x^2).
A. cos(x^2)
B. 2x cos(x)
C. 2x cos(x^2)
D. x^2 cos(x^2)
Correct Answer: C
Using chain rule: d/dx[sin(x^2)] = cos(x^2) . d/dx(x^2) = 2x cos(x^2).
Q8. [+4, -1] Mathematics
The probability of getting a head when a fair coin is tossed is:
Correct Answer: C
P(Head) = 1/2 (favorable outcomes / total outcomes).
Q9. [+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).
Q10. [+4, -1] Physics
The momentum of a photon of energy E is:
A. E/c^2
B. E/c
C. Ec
D. hE/c
Correct Answer: B
p = E/c for a photon (since E = pc).
Q11. [+4, -1] Chemistry
Atomic number of oxygen is:
Correct Answer: C
Oxygen has atomic number 8 (configuration 1s^22s^22p).
Q12. [+4, -1] Chemistry
Which of the following is a strong acid?
A. CHCOOH
B. HCl
C. HCO
D. HS
Correct Answer: B
HCl completely dissociates in water -> strong acid.
Q13. [+4, -1] Chemistry
The molar mass of CaCO 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.
Q14. [+4, -1] Mathematics
The mode of 1, 2, 2, 3, 3, 3, 4 is:
Correct Answer: B
3 appears 3 times (highest frequency).
Q15. [+4, -1] Chemistry
The functional group in alcohol is:
A. -CHO
B. -COOH
C. -OH
D. -NH
Correct Answer: C
Alcohols contain the hydroxyl (-OH) functional group.