1

IIT-JEE 1999 Screening

MCQ (More than One Correct Answer)
The coordinates of a particle moving in a plane are given by x(t) = a cos(pt) and y(t) = b sin(pt) where a, b (< a) and p are positive constants of approprite dimensions. Then
A
the path of the particle is an ellipse
B
the velocity and acceleration of the particle are normal to each other at t = ${\pi \over {2p}}$
C
the acceleration of the particle is always directed towards a focus
D
the distance traveled by the particle in time interval t = 0 to t = ${\pi \over {2p}}$ is a
2

IIT-JEE 1993

MCQ (More than One Correct Answer)
A particle of mass m moves on the x-axis as follows: it starts from rest at t = 0 from the point x = 0, and come to rest at t = 1 at the point x = 1. NO other information is available about its motion at intermediate times ( 0 < t < 1 ). If $\alpha$ denotes the instantaneous acceleration of the particle, then:
A
$\alpha$ cannot remain positive for all t in the interval $0 \le t \le 1$
B
$\left| \alpha \right|$ cannot exceed 2 at any point in its path.
C
$\left| \alpha \right|$ must be $\ge$ 4 at some point or points in its path.
D
$\alpha$ must be change sign during the motion, but no other assertion can be made with the information given.
3

IIT-JEE 1982

MCQ (More than One Correct Answer)
A particle is moving eastwards with a velocity of 5 m/s. In 10s the velocity changes to 5 m/s northwards. The average acceleration in this time is
A
zero
B
${1 \over {\sqrt 2 }}m/{s^2}$ towards north-west
C
${1 \over {\sqrt 2 }}m/{s^2}$ towards north-east
D
${1 \over 2}m/{s^2}$ towards north

On those following papers in MCQ (Multiple Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2020 Paper 2 Offline (1)
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IIT-JEE 1999 Screening (1)
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IIT-JEE 1993 (1)
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IIT-JEE 1982 (1)
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