Physics Questions (Q1–20)
Q1. The SI unit of electric charge is:
A. Coulomb
B. Ampere
C. Volt
D. Ohm
Q2. A body of mass 2 kg is moving with velocity 3 m/s. Its kinetic energy is:
A. 9 J
B. 6 J
C. 12 J
D. 18 J
Q3. The time period of a simple pendulum depends on:
A. Mass of the bob
B. Length of the pendulum
C. Amplitude only
D. Both mass and amplitude
Q4. The acceleration due to gravity on the Moon is approximately:
A. 9.8 m/s²
B. 1.6 m/s²
C. 3.7 m/s²
D. 0.98 m/s²
Q5. If the wavelength of light is 600 nm, its frequency (speed of light = 3 × 10⁸ m/s) is:
A. 5 × 10¹⁴ Hz
B. 6 × 10¹⁴ Hz
C. 4 × 10¹⁴ Hz
D. 3 × 10¹⁴ Hz
Q6. Ohm’s law states that:
A. V = IR
B. V = I/R
C. V = R/I
D. None of these
Q7. A wire has resistance 10 Ω. If it is stretched to double its length, its new resistance is:
A. 10 Ω
B. 20 Ω
C. 40 Ω
D. 5 Ω
Q8. The velocity of light in vacuum is:
A. 3 × 10⁶ m/s
B. 3 × 10⁸ m/s
C. 3 × 10¹⁰ m/s
D. 3 × 10⁵ m/s
Q9. The work done in moving a charge of 2 C through a potential difference of 12 V is:
A. 12 J
B. 24 J
C. 6 J
D. 2 J
Q10. The phenomenon of splitting of light into its component colors is called:
A. Diffraction
B. Dispersion
C. Polarization
D. Reflection
Q11. The SI unit of magnetic flux is:
A. Tesla
B. Weber
C. Gauss
D. Ampere
Q12. The number of oscillations of a 2 Hz tuning fork in 1 minute is:
A. 60
B. 120
C. 1200
D. 240
Q13. Two lenses of focal lengths 10 cm and 20 cm are in contact. The focal length of the combination is:
A. 6.67 cm
B. 15 cm
C. 30 cm
D. 8 cm
Q14. The escape velocity of a planet depends on:
A. Mass of the planet only
B. Radius of the planet only
C. Mass and radius of the planet
D. Temperature of planet
Q15. The property of a body to resist change in its state of motion is:
A. Momentum
B. Inertia
C. Force
D. Impulse
Q16. Which of the following is a scalar quantity?
A. Velocity
B. Acceleration
C. Work
D. Force
Q17. The kinetic energy of a particle moving with velocity v is:
A. ½ mv²
B. mv²
C. ½ mv
D. 2 mv²
Q18. The speed of sound is maximum in:
A. Air
B. Water
C. Steel
D. Vacuum
Q19. A body in free fall from height h gains a velocity v. The relation between v and h is:
A. v = √(2gh)
B. v = √(gh)
C. v = 2gh
D. v = gh
Q20. The SI unit of power is:
A. Joule
B. Watt
C. Newton
D. Volt
Q21. A man jumps from a height of 5 m. The time taken to reach the ground is (g = 10 m/s²):
A. 1 s
B. √2 s
C. 1.5 s
D. 2 s
Q22. The angle of incidence equals the angle of reflection in:
A. Refraction
B. Diffraction
C. Reflection
D. Polarization
Q23. The work function of a metal is 4 eV. The threshold frequency of light for photoelectric emission is:
A. 10¹⁴ Hz
B. 1 × 10¹⁵ Hz
C. 1 × 10¹³ Hz
D. 2 × 10¹⁴ Hz
Q24. The potential difference across a resistor of 5 Ω carrying 2 A current is:
A. 10 V
B. 5 V
C. 2.5 V
D. 15 V
Q25. The energy of a photon is given by:
A. E = mc²
B. E = hf
C. E = ½ mv²
D. E = h / f
Q26. If the amplitude of a simple harmonic motion is doubled, its maximum velocity:
A. Remains same
B. Doubles
C. Quadruples
D. Halves
Q27. The escape velocity of Earth is approximately:
A. 5 km/s
B. 11 km/s
C. 8 km/s
D. 15 km/s
Q28. The force acting on a unit charge placed in an electric field is:
A. Voltage
B. Electric field intensity
C. Coulomb force
D. None
Q29. The capacitance of a parallel plate capacitor depends on:
A. Plate area and separation
B. Dielectric only
C. Voltage applied
D. Charge stored
Q30. In an AC circuit, the current leads the voltage by 90° in:
A. Resistor
B. Inductor
C. Capacitor
D. Both B and C
Q31. The SI unit of magnetic field (B) is:
A. Tesla
B. Weber
C. Gauss
D. Ampere
Q32. The time period of oscillation of a spring-mass system is:
A. 2π√(k/m)
B. 2π√(m/k)
C. √(k/m)
D. √(m/k)
Q33. If the focal length of a convex lens is 20 cm, its power is:
A. 2.5 D
B. 5 D
C. 10 D
D. 1 D
Q34. The phenomenon of bending of light around the edges of an obstacle is:
A. Diffraction
B. Dispersion
C. Reflection
D. Refraction
Q35. The maximum height attained by a projectile is:
A. v² sin²θ / 2g
B. v² cos²θ / 2g
C. v² sin2θ / g
D. v² / g
Q36. The unit of electric field is:
A. N/C
B. V/m
C. Both A and B
D. Volt
Q37. In a nuclear reaction, mass defect is converted into:
A. Energy
B. Momentum
C. Work
D. Radiation
Q38. The angle of deviation is minimum in:
A. Prism
B. Mirror
C. Lens
D. Diffraction grating
Q39. The relation between wavelength λ, frequency f, and speed v of wave is:
A. λ = v/f
B. λ = f/v
C. λ = vf
D. λ = v + f
Q40. The energy stored in a capacitor of capacitance C charged to voltage V is:
A. ½ CV²
B. CV²
C. 2CV²
D. ½ C²V
Chemistry Questions (Q1–20)
Q1. The atomic number of oxygen is:
A. 6
B. 7
C. 8
D. 9
Q2. The molarity of 18 g of H₂SO₄ in 1 liter solution is:
A. 0.5 M
B. 1 M
C. 2 M
D. 1.5 M
Q3. Which of the following is an alkali metal?
A. Ca
B. Na
C. Al
D. Mg
Q4. The bond angle in water molecule (H₂O) is approximately:
A. 90°
B. 104.5°
C. 120°
D. 180°
Q5. Avogadro’s number is:
A. 6.022 × 10²³
B. 6.022 × 10²²
C. 3.14 × 10²³
D. 9.81 × 10²³
Q6. Which is a strong acid?
A. HCl
B. CH₃COOH
C. H₂CO₃
D. HF
Q7. The electron configuration of Carbon (Z = 6) is:
A. 1s² 2s² 2p²
B. 1s² 2s² 2p³
C. 1s² 2s² 2p⁴
D. 1s² 2s²
Q8. The IUPAC name of CH₃–CH₂–OH is:
A. Methanol
B. Ethanol
C. Propanol
D. Butanol
Q9. The pH of a neutral solution at 25°C is:
A. 0
B. 7
C. 14
D. 1
Q10. Which of the following is an oxidizing agent?
A. H₂
B. Cl₂
C. Na
D. Mg
Q11. The most reactive metal among Li, K, and Na is:
A. Li
B. Na
C. K
D. All same
Q12. Which gas is liberated when Zn reacts with HCl?
A. O₂
B. H₂
C. Cl₂
D. CO₂
Q13. The type of hybridization in methane (CH₄) is:
A. sp
B. sp²
C. sp³
D. dsp²
Q14. The molar mass of CO₂ is:
A. 44 g/mol
B. 28 g/mol
C. 32 g/mol
D. 16 g/mol
Q15. Which of the following is amphoteric?
A. NaOH
B. Al(OH)₃
C. HCl
D. KOH
Q16. The unit of gas constant R in PV = nRT is:
A. J/mol·K
B. L·atm/mol·K
C. Both A and B
D. None
Q17. In electrolysis of water, which gas is collected at cathode?
A. Hydrogen
B. Oxygen
C. Nitrogen
D. Chlorine
Q18. Which of the following is a polar molecule?
A. CO₂
B. CH₄
C. NH₃
D. O₂
Q19. The solubility product constant (Ksp) is used for:
A. Solubility of ionic salts
B. Rate of reaction
C. Equilibrium constant of gases
D. None
Q20. The reaction 2HgO → 2Hg + O₂ is an example of:
A. Oxidation
B. Reduction
C. Decomposition
D. Displacement
Q21. Which of the following is a covalent compound?
A. NaCl
B. H₂O
C. KBr
D. CaCl₂
Q22. The pH of 0.01 M HCl solution is:
A. 2
B. 4
C. 1
D. 3
Q23. Which is a transition element?
A. Na
B. Fe
C. Mg
D. Ca
Q24. The oxidation number of S in H₂SO₄ is:
A. +2
B. +4
C. +6
D. +8
Q25. The type of bond in NaCl is:
A. Covalent
B. Ionic
C. Metallic
D. Hydrogen
Q26. The empirical formula of glucose (C₆H₁₂O₆) is:
A. CH₂O
B. C₆H₁₂O₆
C. C₂H₄O₂
D. CHO
Q27. The van der Waals equation corrects:
A. Ideal gas law for non-zero volume of molecules and intermolecular forces
B. Boyle’s law only
C. Charles’ law only
D. Dalton’s law only
Q28. Which element is liquid at room temperature?
A. Bromine
B. Chlorine
C. Fluorine
D. Iodine
Q29. In a redox reaction, oxidation refers to:
A. Gain of electrons
B. Loss of electrons
C. Gain of protons
D. Loss of protons
Q30. Which of the following is a strong base?
A. NaOH
B. NH₄OH
C. Al(OH)₃
D. CH₃COOH
Q31. Which of the following is an aromatic compound?
A. Benzene
B. Ethanol
C. Propane
D. Acetone
Q32. The major product of the reaction CH₃CH₂Br + NaOH (aq) is:
A. CH₃CH₂OH
B. CH₃CH₂OCH₃
C. CH₃CH₂Br
D. CH₃CH₃
Q33. The number of moles in 180 g of H₂O is:
A. 10
B. 5
C. 2
D. 1
Q34. The solubility of a salt increases with:
A. Decreasing temperature for all salts
B. Increasing temperature for all salts
C. Solubility depends on the salt
D. Pressure only
Q35. The reaction between HCl and NaOH is:
A. Neutralization
B. Redox
C. Decomposition
D. Displacement
Q36. Which gas is responsible for acid rain?
A. CO₂
B. SO₂
C. O₂
D. N₂
Q37. The shape of CH₄ molecule is:
A. Tetrahedral
B. Linear
C. Trigonal planar
D. Bent
Q38. The main constituent of natural gas is:
A. Ethane
B. Methane
C. Propane
D. Butane
Q39. The concentration of 1 M solution of NaOH is:
A. 40 g/L
B. 50 g/L
C. 60 g/L
D. 80 g/L
Q40. The first ionization energy of which element is highest?
A. Li
B. Be
C. B
D. He
Mathematics Questions (Q1–20)
Q1. The value of sin230°+cos260° is:
A. 0
B. 1/2
C. 1
D. 2
Q2. If x2−5x+6=0, then x = ?
A. 2, 3
B. 1, 6
C. 3, 5
D. -2, -3
Q3. The derivative of f(x)=x3 is:
A. 3x²
B. 2x
C. x²
D. 3x³
Q4. The sum of first 20 natural numbers is:
A. 210
B. 190
C. 200
D. 220
Q5. The integral ∫xdx equals:
A. x²
B. x² / 2 + C
C. 2x + C
D. ln x
Q6. If A = {1, 2, 3} and B = {2, 3, 4}, then A ∩ B = ?
A. {1, 2, 3, 4}
B. {2, 3}
C. {1, 4}
D. {1, 2}
Q7. The value of limx→0xsinx is:
A. 0
B. 1
C. ∞
D. Does not exist
Q8. The roots of x² – 4x + 3 = 0 are:
A. 1, 3
B. 2, 3
C. 1, 4
D. 3, 4
Q9. If the sum of angles of a triangle is 180°, then the triangle is:
A. Right-angled
B. Any triangle in Euclidean geometry
C. Equilateral only
D. Isosceles only
Q10. The slope of the line y = 2x + 3 is:
A. 2
B. 3
C. -2
D. -3
Q11. The solution of 2x + 5 = 9 is:
A. 1
B. 2
C. 3
D. 4
Q12. If sin θ = 1/2, then θ = ? (0° ≤ θ ≤ 180°)
A. 30°, 150°
B. 45°, 135°
C. 60°, 120°
D. 90° only
Q13. The distance between points (3, 4) and (7, 0) is:
A. 4
B. 5
C. 6
D. √32
Q14. The sum of first n odd numbers is:
A. n²
B. n(n+1)
C. 2n²
D. n(n-1)
Q15. The inverse of function f(x) = 2x – 3 is:
A. (x – 3)/2
B. 2x + 3
C. (x + 3)/2
D. (3 – x)/2
Q16. The binomial expansion of (a + b)² is:
A. a² + b²
B. a² + 2ab + b²
C. a² + ab + b²
D. a² + 3ab + b²
Q17. If a = 2, b = 3, then (a + b)² – (a – b)² = ?
A. 4
B. 12
C. 20
D. 24
Q18. The quadratic equation whose roots are 2 and –3 is:
A. x² + x – 6 = 0
B. x² – x – 6 = 0
C. x² – 5x + 6 = 0
D. x² + 5x + 6 = 0
Q19. The derivative of sin x is:
A. cos x
B. –cos x
C. sin x
D. –sin x
Q20. The integral ∫0dx equals:
A. 0
B. 1
C. C (constant)
D. x
Q21. The sum of first 50 natural numbers is:
A. 1250
B. 1275
C. 1300
D. 1350
Q22. The value of cos0°+sin90° is:
A. 0
B. 1
C. 2
D. √2
Q23. If f(x) = x² + 2x, then f(3) = ?
A. 15
B. 12
C. 9
D. 18
Q24. The sum of squares of first 5 natural numbers is:
A. 30
B. 55
C. 50
D. 35
Q25. The distance between points (1,2) and (4,6) is:
A. 5
B. √20
C. 6
D. √18
Q26. The equation of a line passing through origin with slope 2 is:
A. y = 2x
B. y = x + 2
C. y = x – 2
D. y = ½ x
Q27. The solution of x² – 9 = 0 is:
A. x = 3, –3
B. x = 9, –9
C. x = 0, 3
D. x = 1, –9
Q28. The roots of equation x² – 4x + 4 = 0 are:
A. 2, 2
B. 4, 4
C. –2, –2
D. 1, 4
Q29. The derivative of ex is:
A. x
B. e^x
C. 1
D. 0
Q30. If the arithmetic mean of 2 and 8 is A, the geometric mean is G, then A × G = ?
A. 12
B. 16
C. 18
D. 20
Q31. The solution of 3x – 7 = 2 is:
A. 1
B. 2
C. 3
D. 4
Q32. The value of tan45° is:
A. 0
B. 1
C. √3
D. √2
Q33. The solution of 2x + 3y = 6 and x – y = 1 is:
A. x = 1, y = 2
B. x = 3, y = 0
C. x = 2, y = 1
D. x = 0, y = 2
Q34. The integral ∫2xdx equals:
A. x² + C
B. 2x² + C
C. x² /2 + C
D. 2 + C
Q35. The slope of line 3x – 4y + 7 = 0 is:
A. 3/4
B. 4/3
C. –3/4
D. –4/3
Q36. The roots of x² + x – 6 = 0 are:
A. 2, –3
B. 3, –2
C. 1, –6
D. –1, 6
Q37. The sum of first n odd numbers is:
A. n²
B. n(n + 1)
C. 2n²
D. n(n – 1)
Q38. The derivative of cos x is:
A. sin x
B. –sin x
C. cos x
D. –cos x
Q39. The integral ∫1/xdx equals:
A. ln|x| + C
B. x + C
C. 1/x + C
D. e^x + C
Q40. The quadratic equation with roots –1 and 5 is:
A. x² – 4x – 5 = 0
B. x² – 4x + 5 = 0
C. x² + 4x – 5 = 0
D. x² + 4x + 5 = 0
Physics (Q1–40)
| Q.No | Answer |
|---|---|
| 1 | A |
| 2 | B |
| 3 | B |
| 4 | B |
| 5 | A |
| 6 | A |
| 7 | B |
| 8 | A |
| 9 | B |
| 10 | B |
| 11 | C |
| 12 | A |
| 13 | D |
| 14 | B |
| 15 | B |
| 16 | C |
| 17 | A |
| 18 | C |
| 19 | B |
| 20 | B |
| 21 | B |
| 22 | B |
| 23 | B |
| 24 | A |
| 25 | B |
| 26 | B |
| 27 | B |
| 28 | B |
| 29 | A |
| 30 | C |
| 31 | A |
| 32 | B |
| 33 | B |
| 34 | A |
| 35 | A |
| 36 | B |
| 37 | B |
| 38 | A |
| 39 | A |
| 40 | A |
Chemistry (Q1–40)
| Q.No | Answer |
|---|---|
| 1 | A |
| 2 | C |
| 3 | B |
| 4 | C |
| 5 | A |
| 6 | A |
| 7 | B |
| 8 | B |
| 9 | C |
| 10 | B |
| 11 | A |
| 12 | C |
| 13 | B |
| 14 | C |
| 15 | B |
| 16 | A |
| 17 | B |
| 18 | A |
| 19 | B |
| 20 | A |
| 21 | A |
| 22 | C |
| 23 | B |
| 24 | C |
| 25 | B |
| 26 | A |
| 27 | B |
| 28 | A |
| 29 | B |
| 30 | C |
| 31 | A |
| 32 | B |
| 33 | B |
| 34 | A |
| 35 | B |
| 36 | B |
| 37 | B |
| 38 | A |
| 39 | B |
| 40 | A |
Mathematics (Q1–40)
| Q.No | Answer |
|---|---|
| 1 | C |
| 2 | A |
| 3 | A |
| 4 | A |
| 5 | B |
| 6 | A |
| 7 | B |
| 8 | A |
| 9 | B |
| 10 | A |
| 11 | A |
| 12 | B |
| 13 | B |
| 14 | A |
| 15 | A |
| 16 | B |
| 17 | B |
| 18 | A |
| 19 | B |
| 20 | A |
| 21 | B |
| 22 | B |
| 23 | A |
| 24 | A |
| 25 | B |
| 26 | A |
| 27 | A |
| 28 | B |
| 29 | B |
| 30 | A |
| 31 | A |
| 32 | B |
| 33 | B |
| 34 | A |
| 35 | C |
| 36 | B |
| 37 | A |
| 38 | B |
| 39 | A |
| 40 | D |
Disclaimer:
This mock test and answer key is for educational and practice purposes only. It is not official and should be used to assess your preparation.