Engineering Entrance

JEE Advanced 2018 — Set 1

English

Practice the official JEE Advanced 2018 previous year question paper

60
Questions
3.0
Marks/Question
180 min
Duration
English
Language

About This Paper

This is the official JEE Advanced 2018 examination paper, Set 1. The paper contains 60 multiple-choice questions.

The exam duration is 180 minutes.

Each correct answer carries 3.0 mark with a deduction of 1.0 for wrong answers.

Joint Entrance Examination (Advanced) — the gateway to IITs. Two papers (Physics, Chemistry, Mathematics), 3 hours each. Multiple question types: MCQ single/multiple, integer, matrix match.

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Sample Questions

Q1Section 1 – Single Correct

The potential energy of a particle of mass 𝑚 at a distance 𝑟 from a fixed point 𝑂 is given by 𝑉(𝑟) = 𝑘𝑟2/2, where 𝑘 is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius 𝑅 about the point 𝑂. If 𝑣 is the speed of the particle and 𝐿 is the magnitude of its angular momentum about 𝑂, which of the following statements is (are) true?

A.𝑣= √𝑘 2𝑚 𝑅
B.𝑣= √𝑘 𝑚 𝑅
C.𝐿= √𝑚𝑘 𝑅2
D.𝐿= √𝑚𝑘 2 𝑅2
Q2Section 1 – Single Correct

Consider a body of mass 1.0 𝑘𝑔 at rest at the origin at time 𝑡= 0. A force 𝐹⃗= (𝛼𝑡 𝑖̂ + 𝛽 𝑗̂) is applied on the body, where 𝛼= 1.0 𝑁𝑠−1 and 𝛽= 1.0 𝑁. The torque acting on the body about the origin at time 𝑡= 1.0 𝑠 is 𝜏⃗. Which of the following statements is (are) true?

A.|𝜏⃗| = 1 3 𝑁 𝑚
B.The torque 𝜏⃗ is in the direction of the unit vector + 𝑘̂
C.The velocity of the body at 𝑡= 1 𝑠 is v⃗⃗= 1 2 (𝑖̂ + 2𝑗̂) 𝑚 𝑠−1
D.The magnitude of displacement of the body at 𝑡= 1 𝑠 is 1 6 𝑚
Q3Section 1 – Single Correct

A uniform capillary tube of inner radius 𝑟 is dipped vertically into a beaker filled with water. The water rises to a height ℎ in the capillary tube above the water surface in the beaker. The surface tension of water is 𝜎. The angle of contact between water and the wall of the capillary tube is 𝜃. Ignore the mass of water in the meniscus. Which of the following statements is (are) true?

A.For a given material of the capillary tube, ℎ decreases with increase in 𝑟
B.For a given material of the capillary tube, ℎ is independent of 𝜎
C.If this experiment is performed in a lift going up with a constant acceleration, then ℎ decreases
D.ℎ is proportional to contact angle 𝜃

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