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Welcome to the BYJU’S JEE questions and answers page! Students and aspirants can access a huge library of questions covering all the important topics that are included in the JEE syllabus. The questions and answers have been prepared by a group of experienced subject matter experts. Students will find questions framed from Physics, Maths and Chemistry subjects.

The JEE questions and answers discussed here will give a much clearer idea of many JEE topics such as gravitation, thermodynamics, atomic structure, chemical bonding, binomial theorem, quadratic equation, etc. The questions have further been answered in an informative and easy to understand manner.

Alternatively, the questions are very important from an examination point of view and can help in quick revision of the different topics. Additionally, students can also clear their doubts and confusion by referring to these questions regarding any concept or topic. Students will find questions that are both conceptual and descriptive including definitions, principles, formulas, examples of, properties of, and types.

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If the heart pushes 1 cc of blood in 1 s under pressure 20000 Nm-2, the power of the heart is
Answer: 1) 0.02 W 2) 400 W 3) 5 × 10-10 W 4) 0.2 W Answer: 1) 0.02 W Solution: Given, Pressure, P = 20000 Nm-2 Volume per second = 1cc Power of heart = Pressure x volume per...
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For inelastic collision between two spherical rigid bodies
Answer: 1) the total kinetic energy is conserved 2) the total mechanical energy is not conserved 3) the linear momentum is not conserved 4) the linear momentum is conserved Answer: 4) the linear...
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A ball is dropped from a height of 20 m. If the coefficient of restitution is 0.9, what will be the height attained after the first bounce?
Answer: 1) 1.62 m 2) 16.2 m 3) 18 m 4) 14 m Answer: 2) 16.2 m Solution: Ball is dropped from a height, h= 20 m coefficient of restitution = 0.9 Height after the first collision, h' = e2h =...
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A spring stores 1 J of energy for compression of 1 mm. The additional work to be done to compress it further by 1 mm is
Answer: 1) 1 J 2) 2 J 3) 3 J 4) 4 J 5) 0.5 J Answer: 3) 3 J Solution: W1 = (1/2)kx2 = (1/2)k(1 x 10-3)2 k = 2 x 106 W2 = (1/2)(2 x 106) (1 x 10-3 + 1 x 10-3)2 = 4 J...
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Force of 50 N acting on a body at an angle θ with horizontal. If 150 J work is done by displacing it 3 m, then θ is
Answer: 1) 60° 2) 30° 3) 0° 4) 45° Answer: 3) 0° Solution: The horizontal component of force = Fcos θ Work done = (Fcos θ) x 6 150 = 50 x...
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When a force is applied to a moving body, its motion is retarded. Then, the work done is
Answer: 1) positive 2) negative 3) zero 4) positive and negative Answer: 2) negative Solution: Work is said to be done on that body when a force acts on a body. When motion is accelerated,...
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A body moves a distance of 10 m along a straight line under action of 5 N force. If work done is 25 J, then the angle between the force and direction of motion of the body will be
Answer: 1) 75° 2) 60° 3) 45° 4) 30° Answer: 2) 60° Solution: Distance, S = 10 m Force, F = 5 N Work done, W = 25 J W = F.S cos θ 25 = 5 x...
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A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time, the particle goes up is
Answer: 1) –0.5 J 2) –1.25 J 3) 1.25 J 4) 0.5 J Answer: 2) –1.25 J Solution: Mass = 100 g Speed, u = 5 m/s Work done by the force of gravity is the kinetic energy while...
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A bullet of mass 10 g is fired horizontally with a velocity 1000 ms-1 from a rifle situated at a height 50 m above the ground. If the bullet reaches the ground with a velocity 500 ms-1, the work done against air resistance in the trajectory of the bullet is (take g = 10 m-2)
Answer: 1) 5005 J 2) 3755 J 3) 3750 J 4) 17.5 J Answer: 2) 3755 J Solution: Work done against the air resistance is the energy lost W = (mgh + (1/2)mu2)- (1/2)mv2 = (1/2)m(u2 - v2) + mgh =...
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A spring of force constant 800 Nm-1 has an extension of 5cm. The work done in extending it from 5 cm to 15 cm is
Answer: 1) 16 J 2) 8 J 3) 32 J 4) 24 J Answer: 2) 8 J Solution: Force constant, k = 800 N/m  Work done in extending from 5 cm to 15 cm is W = (1/2)k(x22 - x12) = (1/2) x 800 x (0.152 -...
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A particle of mass 2 mg moves with constant speed and is found to pass two points 5.0 m apart in a time interval of 5 ms. Find the kinetic energy of the particle
Answer: 1) 1 J 2) 2 J 3) 3 J 4) 4 J Answer: 1) 1 J Solution: Velocity = Distance/Time = 5/5 x 10-3 m/s = 1000 m/s Kinetic energy = (1/2)mv2 = (1/2) x 2 x 10-3 (1000)2 = 1 J...
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0.4i+0.8j+ck represents a unit vector when c is
Answer: 1) -0.2 2) √0.2 3) √0.8 4) 0 Answer: 2) √0.2 Solution: = 0.16 + 0.64 +c2 = 1 =...
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In a hospital, 89% has disease A and 98% has disease B, K% is the number of patients who has both, then K can’t be the subset of ____
Answer: Solution:Answer: Least k =87, Max k = 89Let total =100n(A)=89, n(B)=98max (n(A),n(B)) ≤ n(AUB) ≤ 10098 ≤ n(A)+n(B)-n(A n B) ≤ 100=> 98 ≤ 98 + 89- k ≤ 100Least k =87Max k = 89...
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P(A) = p, P(B) = 2p, P(Exactly one out of A and B occurs) = 5/9. What will be the maximum value of p?
Answer: Solution:Answer: 5/9 Given: P(A) = p and P(B) = 2p P(A)-P(A∩B)+P(B)-P(A∩B) = 5/93p-2P(A∩B) = 5/90 ≤ P(A∩B) ≤ pFor maximum value: 3p - 2p = 5/9So, p = 5/9...
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Evaluate [latex]int_{frac{-1}{sqrt{2}}}^{frac{1}{sqrt{2}}}[(frac{1-x}{1+x})^2 + (frac{1+x}{1-x})^2 – 2]dx[/latex]
Answer: Solution:Answer: 4 ln ½...
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If cosx/(1+sinx) = |tanx|, then find the number of solutions in [0, 2π].
Answer: Solution:Answer: x = π/6Case 1: tan x ≥ 0cosx/(1+sinx ) = sinx/cosx⇒cos2x = sin2x+sinx⇒1-sin2x = sin2x + sinx⇒2 sin2x + sin x – 1 = 0⇒sin x = -1 ,1/2sin x = 1/2...
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Sum of infinite terms A, AR, AR2, AR3,…. is 15. If the sum of the square of these terms is 150, then find the sum of AR2, AR4, AR6, ⋯.
Answer: Solution:Answer: ½ A + AR + AR2 + ⋯ = 15⇒A/(1-R) = 15 ⋯(i)Now, A2 + A2 R2 + A2 R4 + ⋯ = 150⇒A2/(1-R2 ) = 150⇒(A⋅A)/((1-R)(1 + R)) = 150⇒15A/(1 + R) = 150⇒A =...
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If [latex]arg(frac{z-1}{z+1}) = frac{pi}{4}[/latex], then find equation of circle.
Answer: Solution:Answer: √2...
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A wire of length 36 units is cut into two parts which are bent respectively to form a square of side x units and a circle of radius of r units. If the sum of areas of the square and the circle so formed is minimum, then find the circumference of the circle.
Answer: Solution:Answer: 2π x 18/(4 + π) = 36π/(4 + π)Sum of perimeter of square and circle = 364x + 2πr = 36⇒2x + πr = 18x = (18 - πr)/2 = 9 - πr/2 .....(i)Sum of areas: S =...
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Solve [latex]lim_{n rightarrow infty} frac{1}{n}sum_{r=0}^{2n-1}frac{n^2}{n^2+4r^2}[/latex]
Answer: Solution:Answer: [(1/2)] tan-14 - 0 = [(1/2)] tan-14 - 0...
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