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Exam Details

IIT JEE 1999 SCREENING

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Questions 3
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 3 questions in this paper.

Subject distribution

Physics
3 Qs

Topic distribution

Mechanics
3 Qs

Subtopic distribution

Simple Harmonic Motion
1 Qs
Work Power And Energy
1 Qs
Motion
1 Qs

Difficulty distribution

Medium 2 66.7%
Easy 1 33.3%

Question type distribution

Multiple Choices 3 100%

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
1999 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 1999 SCREENING
A particle free to move along the x-axis has potential energy given by \(U\left( x \right) = k\left[ {1 - \exp \left( { - {x^2}} \right)} \right]\) for \(- \infty \le x \le - \infty\), where k is a positive constant of appropriate dimensions. Then
A
at points away from the origin, the particle is in unstable equilibrium
B
for any finite nonzero value of x, there is a force directed away from the origin
C
if its total mechanical energy is \({k \over 2}\), it has its minimum kinetic energy at the origin
D
for small displacement from x = 0, the motion is simple harmonic
2
1999 · Physics · Mechanics · Work Power And Energy
IIT JEE 1999 SCREENING
A spring of force-constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of
A
\(\left( {{2 \over 3}} \right)k\)
B
\(\left( {{3 \over 2}} \right)k\)
C
3 k
D
6 k
3
1999 · Physics · Mechanics · Motion
IIT JEE 1999 SCREENING
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