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Sections:PhysicsChemistryBiology
Q1. [+4, -1]Physics
⚠ Negative Marking: -1 mark per wrong answer (+4 for correct, -1 for incorrect)
A particle of mass 'm' is projected with velocity 'v' at an angle '' with the horizontal. The magnitude of the change in momentum of the particle from the time of projection till it reaches the maximum height is:
A. mv cos
B. mv sin
C.
D.
Correct Answer: B At the time of projection, the momentum components are Px = mv cos (horizontal) and Py = mv sin (vertical). At the maximum height, the vertical component of velocity becomes zero, so the vertical component of momentum is zero. The horizontal component of momentum remains mv cos. Change in momentum (P) = Final momentum - Initial momentum. P_x = mv cos - mv cos = 0. P_y = 0 - mv sin = -mv sin. The magnitude of the change in momentum is |P_y| = mv sin.
Q2. [+4, -1]Chemistry
Which of the following is a noble gas?
A. Hydrogen
B. Nitrogen
C. Argon
D. Chlorine
Correct Answer: C Argon (Ar) is a noble gas in Group 18 with a full valence shell.
Q3. [+4, -1]Physics
The dimensional formula of force is:
A. [MLT]
B. [MLT^2]
C. [MLT^2]
D. [ML^2T^2]
Correct Answer: C F = ma -> [F] = [M][LT^2] = [MLT^2].
Q4. [+4, -1]Chemistry
Which of the following is NOT a polymer?
A. Nylon
B. Cellulose
C. Glucose
D. PVC
Correct Answer: C Glucose is a monomer (monosaccharide), not a polymer. Nylon, cellulose, PVC are polymers.
Q5. [+4, -1]Chemistry
The number of atoms in 1 mole of any substance is:
A. 6.022 x 10^2
B. Avogadro's number
C. 6.022 x 10^2
D. Both A and B
Correct Answer: B 1 mole = 6.022 x 10^2 particles = Avogadro's number.
Q6. [+4, -1]Biology
Which of the following is a primary lymphoid organ where B-lymphocytes mature?
A.
B.
C.
D.
Correct Answer: C Primary lymphoid organs are sites where lymphocytes mature and proliferate. The bone marrow is the primary lymphoid organ where all blood cells, including lymphocytes, are produced, and B-lymphocytes mature. T-lymphocytes mature in the thymus.
Q7. [+4, -1]Chemistry
Which of the following reactions will NOT yield an alkyl halide?
A.
B.
C.
D.
Correct Answer: D Reaction A (Lucas test) yields CHCHCl. Reaction B (free radical halogenation) yields CHCH(Cl)CH and CHCHCHCl. Reaction C (hydrohalogenation of propene, Markovnikov's rule) yields CHCH(Br)CH. Reaction D (reaction of carboxylic acid with PCl) yields an acyl chloride (CHCHCOCl), not an alkyl halide.
Q8. [+4, -1]Physics
The SI unit of electric potential is:
A. Coulomb
B. Ohm
C. Volt
D. Ampere
Correct Answer: C Electric potential is measured in Volts (V = J/C).
Q9. [+4, -1]Physics
What is the phenomenon where an electric current generates a magnetic field?
A. Electromagnetic induction
B. Magnetic induction
C. Ampere's law
D. Faraday's law
Correct Answer: C Ampere's law states that an electric current generates a magnetic field, and the direction of the magnetic field can be determined by the right-hand rule.
Q10. [+4, -1]Biology
What is the term for the process by which plants convert light energy into chemical energy?
A. Respiration
B. Photosynthesis
C. Fermentation
D. Transpiration
Correct Answer: B Photosynthesis is the process by which plants, algae, and some bacteria convert light energy from the sun into chemical energy in the form of glucose. This process occurs in specialized organelles called chloroplasts and is essential for life on Earth.
Q11. [+4, -1]Chemistry
Which of the following statements is INCORRECT regarding the characteristics of physisorption?
A.
B.
C.
D.
Correct Answer: C Physisorption is non-specific in nature because it occurs due to weak van der Waals forces which are universal. Chemisorption, on the other hand, is highly specific and involves the formation of chemical bonds between adsorbate and adsorbent.
Q12. [+4, -1]Chemistry
Which of the following reactions represents a Williamson ether synthesis?
A. R-OH + Na -> R-ONa + 1/2 H
B. R-ONa + R'-X -> R-O-R' + NaX
C. R-OH + HX -> R-X + HO
D. R-CHO + R'-MgBr -> R-CH(OMgBr)-R'
Correct Answer: B Williamson ether synthesis involves the reaction of an alkoxide (formed from an alcohol and a strong base like Na) with an alkyl halide to form an ether. Option B correctly depicts this reaction.
Q13. [+4, -1]Biology
The number of chromosomes in human cells is:
A. 23
B. 46
C. 48
D. 44
Correct Answer: B Humans have 23 pairs = 46 chromosomes (22 autosomes + 1 sex chromosome pair).
Q14. [+4, -1]Physics
Which law states that entropy of an isolated system always increases?
A. First law
B. Second law
C. Third law
D. Zeroth law
Correct Answer: B Second law: entropy of isolated system always increases (S 0).
Q15. [+4, -1]Physics
A thin uniform ring of mass M and radius R is rotating about an axis perpendicular to its plane and passing through its center with an angular velocity . Two point masses, each of mass m, are gently attached at diametrically opposite points on the ring. The new angular velocity of the system will be:
A. M / (M + 2m)
B. M / (M + m)
C. (M + 2m) / M
D. M / (M + m/2)
Correct Answer: A According to the principle of conservation of angular momentum:
Initial angular momentum (L_initial) = I_initial *
For the ring, I_initial = MR^2
So, L_initial = MR^2
When two point masses 'm' are attached at diametrically opposite points, the new moment of inertia (I_final) will be:
I_final = I_ring + I_two_point_masses = MR^2 + mR^2 + mR^2 = (M + 2m)R^2
Let the new angular velocity be '.
Final angular momentum (L_final) = I_final * ' = (M + 2m)R^2'
Equating initial and final angular momentum:
MR^2 = (M + 2m)R^2'
' = MR^2 / ((M + 2m)R^2)
' = M / (M + 2m)