Engineering Entrance

JEE Advanced 2020 — Set 1

English

Practice the official JEE Advanced 2020 previous year question paper

Questions

3.0

Marks/Question

180 min

Duration

English

Language

About This Paper

This is the official JEE Advanced 2020 examination paper, Set 1. The paper contains 54 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

A football of radius R is kept on a hole of radius r (𝑟< 𝑅) made on a plank kept horizontally. One end of the plank is now lifted so that it gets tilted making an angle 𝜃 from the horizontal as shown in the figure below. The maximum value of 𝜃 so that the football does not start rolling down the plank satisfies (figure is schematic and not drawn to scale)

A.sin𝜃= 𝑟 𝑅

B.tan𝜃= 𝑟 𝑅

C.sin𝜃= 𝑟 2𝑅

D.cos𝜃= 𝑟 2𝑅

A light disc made of aluminium (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong magnet is held vertically at a point above the disc away from its axis. On revolving the magnet about the axis of the disc, the disc will (figure is schematic and not drawn to scale)

A.rotate in the direction opposite to the direction of magnet’s motion

B.rotate in the same direction as the direction of magnet’s motion

C.not rotate and its temperature will remain unchanged

D.not rotate but its temperature will slowly rise

A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left). It is on a horizontal floor and a meter scale is positioned horizontally on its axle with one edge of the scale on top of the axle (see figure on the right). The scale is now pushed slowly on the axle so that it moves without slipping on the axle, and the roller starts rolling without slipping. After the roller has moved 50 cm, the position of the scale will look like (figures are schematic and not drawn to scale)