1

IIT-JEE 1996

Subjective

+5

-0

Two guns, situated on the top of a hill of height 10 m, fire one shot each with the same speed $$5\sqrt 3 $$ m s

^{-1}at some interval of time. One gun fires horizontally and other fires upwards at an angle of $$60^\circ $$ with the horizontal. The shots collide in air at a point P. Find(i) the time interval between the firings, and

(ii) the coordinates of the point P.

Take origin of the coordinate system at the foot of the hill right below the muzzle and trajectories in x-y plane.2

IIT-JEE 1979

Subjective

+4

-0

The dispalcement x of particle moving in one direction, under the action of a constant force is related to the time t by the equation $$t = \sqrt x + 3$$

where x is in meters and t in seconds. Find

where x is in meters and t in seconds. Find

(i) The displacement of the particle when its velocity is zero, and

(ii) The work done by the force in the first 6 seconds.

3

IIT-JEE 1979

Subjective

+4

-0

Answer the following giving reason in brief:

Is the time variation of position, shown in the figure observed in nature?

4

IIT-JEE 1978

Subjective

+4

-0

A car accelerates from rest at a constant rate $$\alpha $$ for some time after which it decelerates at a constant rate $$\beta $$ to come to rest. If the total time lapse is t seconds, evaluate.

(i) maximum velocity reached, and

(ii) the total distance travelled.

Questions Asked from Motion (Subjective)

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced Subjects

Physics

Mechanics

Units & Measurements
Motion
Laws of Motion
Work Power & Energy
Impulse & Momentum
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
Gravitation

Electricity

Optics

Modern Physics

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry
Structure of Atom
Redox Reactions
Gaseous State
Equilibrium
Solutions
States of Matter
Thermodynamics
Chemical Kinetics and Nuclear Chemistry
Electrochemistry
Solid State & Surface Chemistry

Inorganic Chemistry

Periodic Table & Periodicity
Chemical Bonding & Molecular Structure
Isolation of Elements
Hydrogen
s-Block Elements
p-Block Elements
d and f Block Elements
Coordination Compounds
Salt Analysis

Organic Chemistry

Mathematics

Algebra

Quadratic Equation and Inequalities
Sequences and Series
Mathematical Induction and Binomial Theorem
Matrices and Determinants
Permutations and Combinations
Probability
Vector Algebra and 3D Geometry
Statistics
Complex Numbers

Trigonometry

Coordinate Geometry

Calculus