JEE 50 MCQS

                                                         JEE 50 MCQS

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Boost your JEE preparation with our expertly curated set of 50 MCQs for JEE Mains and Advanced. This collection covers important topics from Physics, Chemistry, and Mathematics, designed to help you practice and master key concepts. Each question is aligned with the latest JEE exam pattern, and includes detailed solutions to strengthen your problem-solving skills. Whether you're revising or testing your understanding, these JEE multiple choice questions are perfect for daily practice and last-minute revision.

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  • 🔹 JEE 50 MCQs for Physics, Chemistry, and Maths

    ⚛️ JEE Physics MCQs (1–17)

    1. A body projected vertically upwards returns to the point of projection in 10 s. The initial velocity is:

      • (a) 49 m/s

      • (b) 50 m/s

      • (c) 98 m/s

      • (d) 100 m/s
        ✅ Answer: (c)

    2. The dimensional formula of force is:

      • (a) [MLT^-2]

      • (b) [ML^2T^-2]

      • (c) [MLT^-1]

      • (d) [M^2LT^-2]
        ✅ Answer: (a)

    3. The escape velocity on a planet depends on:

      • (a) Mass and radius

      • (b) Temperature

      • (c) Gravity only

      • (d) Radius only
        ✅ Answer: (a)

    4. In SHM, acceleration is maximum when:

      • (a) Displacement is zero

      • (b) Velocity is maximum

      • (c) Displacement is maximum

      • (d) Kinetic energy is maximum
        ✅ Answer: (c)

    5. Two capacitors of 6 μF and 3 μF are connected in series. The net capacitance is:

      • (a) 9 μF

      • (b) 2 μF

      • (c) 1.5 μF

      • (d) 4 μF
        ✅ Answer: (b)

    6. Which of the following has maximum wavelength?

      • (a) Gamma rays

      • (b) X-rays

      • (c) Ultraviolet rays

      • (d) Radio waves
        ✅ Answer: (d)

    7. The work done by a centripetal force is:

      • (a) Zero

      • (b) Positive

      • (c) Negative

      • (d) Infinite
        ✅ Answer: (a)

    8. What is the SI unit of electric field?

      • (a) N/m

      • (b) V

      • (c) V/m

      • (d) C/m
        ✅ Answer: (c)

    9. Ohm’s law is not applicable to:

      • (a) Metal conductors

      • (b) Semiconductors

      • (c) Electrolytes

      • (d) Both (b) and (c)
        ✅ Answer: (d)

    10. The lens used to correct myopia is:

    • (a) Convex

    • (b) Concave

    • (c) Biconvex

    • (d) Cylindrical
      ✅ Answer: (b)

    1. The magnetic field at the center of a circular coil is:

    • (a) μ₀NI/2R

    • (b) μ₀I/2Ï€R

    • (c) μ₀I/4Ï€R

    • (d) μ₀NIR²
      ✅ Answer: (a)

    1. In a transformer, energy loss occurs mainly due to:

    • (a) Core heating

    • (b) Copper loss

    • (c) Magnetic hysteresis

    • (d) All of these
      ✅ Answer: (d)

    1. The half-life of a radioactive substance is:

    • (a) Directly proportional to decay constant

    • (b) Inversely proportional to decay constant

    • (c) Independent of decay constant

    • (d) Not defined
      ✅ Answer: (b)

    1. Which wave property remains unchanged in refraction?

    • (a) Frequency

    • (b) Wavelength

    • (c) Velocity

    • (d) Amplitude
      ✅ Answer: (a)

    1. The unit of Planck’s constant is:

    • (a) Js

    • (b) Nm

    • (c) N/s

    • (d) J/m
      ✅ Answer: (a)

    1. A Carnot engine operates between 400 K and 300 K. Its efficiency is:

    • (a) 25%

    • (b) 33%

    • (c) 75%

    • (d) 50%
      ✅ Answer: (b)

    1. The dimensional formula of power is:

    • (a) [MLT^-2]

    • (b) [ML^2T^-3]

    • (c) [ML^2T^-2]

    • (d) [M^2LT^-3]
      ✅ Answer: (b)

    ⚗️ JEE Chemistry MCQs (18–34)

    1. Which of the following has the highest ionization energy?

    • (a) Na

    • (b) Mg

    • (c) Al

    • (d) Ne
      ✅ Answer: (d)

    1. The number of moles in 11.2 L of CO₂ at STP is:

    • (a) 0.25

    • (b) 0.5

    • (c) 1

    • (d) 2
      ✅ Answer: (b)

    1. Hybridization of carbon in ethyne (C₂H₂) is:

    • (a) sp

    • (b) sp²

    • (c) sp³

    • (d) dsp²
      ✅ Answer: (a)

    1. Which gas is used in the Haber process?

    • (a) Oxygen

    • (b) Hydrogen

    • (c) Nitrogen

    • (d) Both (b) and (c)
      ✅ Answer: (d)

    1. The pH of a 0.01 M HCl solution is:

    • (a) 1

    • (b) 2

    • (c) 3

    • (d) 4
      ✅ Answer: (2)

    1. Which of the following is amphoteric?

    • (a) NaOH

    • (b) HCl

    • (c) Al(OH)₃

    • (d) Ca(OH)₂
      ✅ Answer: (c)

    1. Which element does not follow the octet rule?

    • (a) B

    • (b) O

    • (c) Cl

    • (d) N
      ✅ Answer: (a)

    1. The catalyst used in the contact process is:

    • (a) Fe

    • (b) V₂O₅

    • (c) MnO₂

    • (d) Ni
      ✅ Answer: (b)

    1. The IUPAC name of CH₃COOH is:

    • (a) Ethanoic acid

    • (b) Acetic acid

    • (c) Methanoic acid

    • (d) Propanoic acid
      ✅ Answer: (a)

    1. Which is the hardest allotrope of carbon?

    • (a) Graphite

    • (b) Diamond

    • (c) Fullerenes

    • (d) Charcoal
      ✅ Answer: (b)

    1. Which of the following is not a greenhouse gas?

    • (a) CO₂

    • (b) CH₄

    • (c) O₂

    • (d) N₂O
      ✅ Answer: (c)

    1. A buffer solution resists:

    • (a) Change in pressure

    • (b) Change in temperature

    • (c) Change in pH

    • (d) Change in volume
      ✅ Answer: (c)

    1. Which has maximum boiling point?

    • (a) H₂O

    • (b) H₂S

    • (c) H₂Se

    • (d) H₂Te
      ✅ Answer: (a)

    1. Which of the following is aromatic?

    • (a) Cyclobutane

    • (b) Benzene

    • (c) Cyclohexane

    • (d) Ethene
      ✅ Answer: (b)

    1. Which of the following shows +I effect?

    • (a) -OH

    • (b) -NO₂

    • (c) -CH₃

    • (d) -CN
      ✅ Answer: (c)

    1. Which of the following is a biodegradable polymer?

    • (a) Nylon-6

    • (b) Terylene

    • (c) PHBV

    • (d) PVC
      ✅ Answer: (c)

    1. The correct order of increasing oxidizing power is:

    • (a) Cl₂ < Br₂ < F₂

    • (b) Br₂ < Cl₂ < F₂

    • (c) F₂ < Cl₂ < Br₂

    • (d) Cl₂ < F₂ < Br₂
      ✅ Answer: (b)

    ➗ JEE Maths MCQs (35–50)

    1. The value of sin 30° is:

    • (a) 1

    • (b) √2/2

    • (c) 1/2

    • (d) √3/2
      ✅ Answer: (c)

    1. Derivative of sin x is:

    • (a) cos x

    • (b) -cos x

    • (c) sin x

    • (d) -sin x
      ✅ Answer: (a)

    1. If A = {1, 2, 3}, then the number of subsets is:

    • (a) 3

    • (b) 6

    • (c) 8

    • (d) 9
      ✅ Answer: (c)

    1. The solution of x² - 4 = 0 is:

    • (a) ±2

    • (b) ±4

    • (c) ±1

    • (d) ±3
      ✅ Answer: (a)

    1. The slope of the line y = 2x + 3 is:

    • (a) 2

    • (b) 3

    • (c) -2

    • (d) -3
      ✅ Answer: (a)

    1. If log 2 = a and log 3 = b, then log 18 is:

    • (a) 2a + b

    • (b) a + 2b

    • (c) a + b

    • (d) ab
      ✅ Answer: (a)

    1. ∫x dx =

    • (a) x²

    • (b) x²/2 + C

    • (c) 1/x

    • (d) x + C
      ✅ Answer: (b)

    1. The value of limâ‚“→0 (sin x)/x is:

    • (a) 1

    • (b) 0

    • (c) ∞

    • (d) Does not exist
      ✅ Answer: (a)

    1. If A and B are independent events, then P(A ∩ B) = ?

    • (a) P(A) + P(B)

    • (b) P(A) - P(B)

    • (c) P(A)P(B)

    • (d) P(A)/P(B)
      ✅ Answer: (c)

    1. The nth term of an AP is a + (n-1)d. What is the 5th term if a=2 and d=3?

    • (a) 11

    • (b) 10

    • (c) 15

    • (d) 12
      ✅ Answer: (a)

    1. sin²x + cos²x equals:

    • (a) 0

    • (b) 2

    • (c) 1

    • (d) x²
      ✅ Answer: (c)

    1. The distance between points (1,2) and (4,6) is:

    • (a) 5

    • (b) √10

    • (c) √25

    • (d) √18
      ✅ Answer: (a)

    1. If f(x) = x², then f’(x) = ?

    • (a) 2x

    • (b) x

    • (c) x²

    • (d) 1
      ✅ Answer: (a)

    1. The probability of getting a head in a coin toss is:

    • (a) 1

    • (b) 0.5

    • (c) 2

    • (d) 0
      ✅ Answer: (b)

    1. A quadratic equation has two equal roots when:

    • (a) D > 0

    • (b) D = 0

    • (c) D < 0

    • (d) None
      ✅ Answer: (b)

    1. If x² + y² = 25 and x = 3, then y = ?

    • (a) ±4

    • (b) ±5

    • (c) ±2

    • (d) ±3
      ✅ Answer: (a)

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