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JEE Main MCQ & Objective Questions

The JEE Main exam is a crucial step for students aspiring to enter prestigious engineering colleges in India. It tests not only knowledge but also the ability to apply concepts effectively. Practicing MCQs and objective questions is essential for scoring better, as it helps in familiarizing students with the exam pattern and enhances their problem-solving skills. Engaging with practice questions allows students to identify important questions and strengthen their exam preparation.

What You Will Practise Here

Fundamental concepts of Physics, Chemistry, and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theories relevant to JEE Main
Diagrams and graphical representations for better understanding
Numerical problems and their step-by-step solutions
Previous years' JEE Main questions for real exam experience
Time management strategies while solving MCQs

Exam Relevance

The topics covered in JEE Main are not only significant for the JEE exam but also appear in various CBSE and State Board examinations. Many concepts are shared with the NEET syllabus, making them relevant across multiple competitive exams. Common question patterns include conceptual applications, numerical problems, and theoretical questions that assess a student's understanding of core subjects.

Common Mistakes Students Make

Misinterpreting the question stem, leading to incorrect answers
Neglecting units in numerical problems, which can change the outcome
Overlooking negative marking and not managing time effectively
Relying too heavily on rote memorization instead of understanding concepts
Failing to review and analyze mistakes from practice tests

FAQs

Question: How can I improve my speed in solving JEE Main MCQ questions?
Answer: Regular practice with timed quizzes and focusing on shortcuts can significantly enhance your speed.

Question: Are the JEE Main objective questions similar to previous years' papers?
Answer: Yes, many questions are based on previous years' patterns, so practicing them can be beneficial.

Question: What is the best way to approach JEE Main practice questions?
Answer: Start with understanding the concepts, then attempt practice questions, and finally review your answers to learn from mistakes.

Now is the time to take charge of your preparation! Dive into solving JEE Main MCQs and practice questions to test your understanding and boost your confidence for the exam.

Chemistry Syllabus (JEE Main) Mathematics Syllabus (JEE Main) Physics Syllabus (JEE Main)

Q. A 6 kg object is dropped from a height. What is the force acting on it just before it hits the ground?

A. 6 N
B. 60 N
C. 12 N
D. 0 N

Solution

The force acting on it is its weight, F = mg = 6 kg * 10 m/s² = 60 N.

Correct Answer: B — 60 N

Q. A 6 kg object is in free fall. What is the force acting on it due to gravity?

A. 6 N
B. 60 N
C. 600 N
D. 0 N

Solution

Force due to gravity F = mg = 6 kg * 10 m/s² = 60 N.

Correct Answer: B — 60 N

Q. A 6 kg object is moving with a velocity of 3 m/s. What is its kinetic energy?

A. 27 J
B. 36 J
C. 54 J
D. 18 J

Solution

Kinetic energy KE = 0.5 * m * v² = 0.5 * 6 kg * (3 m/s)² = 27 J.

Correct Answer: B — 36 J

Q. A 6 kg object is pulled with a force of 24 N. What is the acceleration of the object?

A. 2 m/s²
B. 3 m/s²
C. 4 m/s²
D. 5 m/s²

Solution

Using F = ma, a = F/m = 24 N / 6 kg = 4 m/s².

Correct Answer: B — 3 m/s²

Q. A 6 kg object is subjected to a net force of 12 N. What is its acceleration?

A. 2 m/s²
B. 3 m/s²
C. 4 m/s²
D. 5 m/s²

Solution

Using F = ma, acceleration a = F/m = 12 N / 6 kg = 2 m/s².

Correct Answer: B — 3 m/s²

Q. A 60W bulb is connected to a 120V supply. What is the resistance of the bulb?

A. 240 ohms
B. 120 ohms
C. 60 ohms
D. 30 ohms

Solution

Using P = V^2 / R, we rearrange to find R = V^2 / P = (120V)^2 / 60W = 240 ohms.

Correct Answer: B — 120 ohms

Q. A bag contains 3 red and 2 blue balls. If one ball is drawn at random, what is the probability that it is red given that it is not blue?

A. 1/2
B. 3/5
C. 2/5
D. 3/4

Solution

The total number of balls that are not blue is 3 (red). The probability of drawing a red ball given that it is not blue is 3/5.

Correct Answer: B — 3/5

Q. A bag contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability that it is red?

A. 1/5
B. 2/5
C. 3/5
D. 4/5

Solution

The total number of balls is 3 + 2 = 5. The probability of drawing a red ball is 3/5.

Correct Answer: C — 3/5

Q. A ball is dropped from a height of 80 m. How long will it take to reach the ground?

A. 4 s
B. 5 s
C. 6 s
D. 8 s

Solution

Using the formula: h = 0.5 * g * t², where h = 80 m and g = 9.8 m/s². Rearranging gives t² = (2 * h) / g = (2 * 80) / 9.8 ≈ 16.33, so t ≈ 4.03 s.

Correct Answer: C — 6 s

Q. A ball is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 10 m/s²)

A. 4 s
B. 5 s
C. 6 s
D. 8 s

Solution

Using the formula: h = 0.5 * g * t^2. 80 = 0.5 * 10 * t^2. Solving gives t^2 = 16, so t = 4 s.

Correct Answer: B — 5 s

Q. A ball is swung in a vertical circle. At the highest point of the circle, what is the condition for the ball to just maintain its circular motion?

A. Weight must be greater than tension
B. Tension must be zero
C. Centripetal force must be zero
D. Weight must be less than tension

Solution

At the highest point, the centripetal force is provided by the weight of the ball. For just maintaining motion, tension can be zero.

Correct Answer: B — Tension must be zero

Q. A ball is thrown at an angle of 30 degrees with a speed of 30 m/s. What is the time of flight until it hits the ground?

A. 3 s
B. 4 s
C. 5 s
D. 6 s

Solution

Time of flight (T) = (2u * sin(θ))/g = (2 * 30 * 0.5)/9.8 ≈ 3.06 s.

Correct Answer: C — 5 s

Q. A ball is thrown at an angle of 30 degrees with an initial speed of 25 m/s. What is the time to reach the maximum height?

A. 1.25 s
B. 2.5 s
C. 3.5 s
D. 5 s

Solution

Time to max height t = (u * sin(θ)) / g = (25 * (1/2)) / 9.8 ≈ 1.28 s.

Correct Answer: B — 2.5 s

Q. A ball is thrown at an angle of 45 degrees with an initial speed of 14 m/s. What is the range of the projectile?

A. 10 m
B. 14 m
C. 20 m
D. 28 m

Solution

Range (R) = (u² * sin(2θ)) / g = (14² * 1) / 9.8 ≈ 20 m.

Correct Answer: D — 28 m

Q. A ball is thrown at an angle of 45 degrees with an initial speed of 28 m/s. What is the vertical component of the velocity at the peak of its trajectory?

A. 0 m/s
B. 14 m/s
C. 20 m/s
D. 28 m/s

Solution

At the peak, the vertical component of velocity is 0 m/s.

Correct Answer: A — 0 m/s

Q. A ball is thrown at an angle of 60 degrees with a speed of 15 m/s. What is the horizontal range of the ball?

A. 20 m
B. 30 m
C. 40 m
D. 50 m

Solution

Range (R) = (u^2 * sin(2θ)) / g = (15^2 * sin(120)) / 9.8 = 38.5 m.

Correct Answer: C — 40 m

Q. A ball is thrown downward with an initial speed of 10 m/s from a height of 20 m. How long will it take to hit the ground? (Assume g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Using the equation of motion: h = ut + 0.5gt². 20 = 10t + 0.5 * 10 * t². Rearranging gives 5t² + 10t - 20 = 0. Solving this quadratic gives t = 2 s.

Correct Answer: C — 4 s

Q. A ball is thrown downward with an initial speed of 10 m/s from a height of 20 m. How long will it take to hit the ground? (g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Using the equation of motion: h = ut + 0.5gt². 20 = 10t + 0.5 * 10 * t². Rearranging gives 5t² + 10t - 20 = 0. Solving this quadratic gives t = 2 s.

Correct Answer: B — 3 s

Q. A ball is thrown downward with an initial speed of 5 m/s from a height of 20 m. How long will it take to hit the ground? (g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Using the equation of motion: h = ut + 0.5gt². 20 = 5t + 0.5 * 10 * t². Rearranging gives 5t + 5t² - 20 = 0. Solving the quadratic gives t = 2 s.

Correct Answer: B — 3 s

Q. A ball is thrown downwards with an initial velocity of 5 m/s from a height of 20 m. How long will it take to hit the ground? (g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Using the equation of motion: h = ut + 0.5gt². 20 = 5t + 0.5 * 10 * t². This simplifies to 5t + 5t² - 20 = 0. Solving gives t = 2 s.

Correct Answer: B — 3 s

Q. A ball is thrown horizontally from the top of a cliff 45 m high. How far from the base of the cliff will it land if it is thrown with a speed of 10 m/s?

A. 20 m
B. 30 m
C. 40 m
D. 50 m

Solution

Time to fall = sqrt(2h/g) = sqrt(2*45/9.8) ≈ 3.03 s. Horizontal distance = speed * time = 10 * 3.03 ≈ 30.3 m, approximately 30 m.

Correct Answer: B — 30 m

Q. A ball is thrown horizontally from the top of a cliff 80 m high. How far from the base of the cliff will it land? (Assume g = 10 m/s² and horizontal speed = 20 m/s)

A. 20 m
B. 40 m
C. 60 m
D. 80 m

Solution

Time to fall = √(2h/g) = √(2*80/10) = 4 s. Horizontal distance = speed * time = 20 m/s * 4 s = 80 m.

Correct Answer: C — 60 m

Q. A ball is thrown horizontally from the top of a cliff 80 m high. How far from the base of the cliff will it land? (Assume g = 10 m/s² and initial horizontal speed = 20 m/s)

A. 40 m
B. 60 m
C. 80 m
D. 100 m

Solution

Time to fall = √(2h/g) = √(2*80/10) = 4 s. Horizontal distance = speed * time = 20 * 4 = 80 m.

Correct Answer: C — 80 m

Q. A ball is thrown horizontally from the top of a cliff with a speed of 15 m/s. If the cliff is 45 m high, how far from the base of the cliff will the ball land?

A. 30 m
B. 45 m
C. 60 m
D. 75 m

Solution

Time to fall = √(2h/g) = √(2*45/10) = 3 s. Horizontal distance = speed * time = 15 m/s * 3 s = 45 m.

Correct Answer: C — 60 m

Q. A ball is thrown upwards with a speed of 20 m/s. How high will it go before it starts to fall back?

A. 10 m
B. 20 m
C. 30 m
D. 40 m

Solution

Maximum height H = (u²)/(2g) = (20²)/(2 * 9.8) ≈ 20.4 m.

Correct Answer: B — 20 m

Q. A ball is thrown upwards with a speed of 20 m/s. How high will it rise before coming to a stop?

A. 10 m
B. 20 m
C. 30 m
D. 40 m

Solution

Maximum height (H) = (u²)/(2g) = (20²)/(2*9.8) ≈ 20.4 m.

Correct Answer: C — 30 m

Q. A ball is thrown upwards with a speed of 20 m/s. How high will it rise before coming to rest?

A. 10 m
B. 20 m
C. 30 m
D. 40 m

Solution

Maximum height (H) = (u²)/(2g) = (20²)/(2*9.8) ≈ 20.4 m.

Correct Answer: B — 20 m

Q. A ball is thrown upwards with a speed of 20 m/s. How long will it take to reach the maximum height?

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Time to reach maximum height (t) = u/g = 20/9.8 ≈ 2.04 s.

Correct Answer: A — 2 s

Q. A ball is thrown vertically upward with a speed of 20 m/s. How high will it rise before coming to rest?

A. 20 m
B. 40 m
C. 10 m
D. 80 m

Solution

Using the formula v² = u² + 2as, where v = 0, u = 20 m/s, a = -9.8 m/s². 0 = (20)² + 2(-9.8)s, solving gives s = 20.4 m, approximately 40 m.

Correct Answer: B — 40 m

Q. A ball is thrown vertically upward with a speed of 20 m/s. How high will it rise before coming to rest? (g = 10 m/s²)

A. 20 m
B. 30 m
C. 40 m
D. 50 m

Solution

Using the formula v² = u² + 2as, where v = 0, u = 20 m/s, and a = -g = -10 m/s², we get 0 = (20)² + 2(-10)s, solving gives s = 20 m.

Correct Answer: B — 30 m

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