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Sections: PhysicsChemistryMathematics
Q1. 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.
Q2. 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. 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. Mathematics
The sum of first 10 natural numbers is:
Correct Answer: B
Sum = n(n+1)/2 = 10x11/2 = 55.
Q5. 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. 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. 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. 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. 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. 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. Chemistry
Atomic number of oxygen is:
Correct Answer: C
Oxygen has atomic number 8 (configuration 1s^22s^22p).
Q12. 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. 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. Mathematics
The mode of 1, 2, 2, 3, 3, 3, 4 is:
Correct Answer: B
3 appears 3 times (highest frequency).
Q15. 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.