Joint Entrance Examination

Graduate Aptitude Test in Engineering

1

Subjective

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.(i) 1 sec

(ii) $$\left( {5\sqrt 3 ,5} \right)$$ in meters.

(ii) $$\left( {5\sqrt 3 ,5} \right)$$ in meters.

2

Subjective

Answer the following giving reason in brief:

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

No, not possible

From the diagram, you can see a body is present at two different position A and B at the same time which is not possible.

3

Subjective

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.

(i) 0

(ii) 0

(ii) 0

4

Subjective

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.

$$(i)\,{{\alpha \beta } \over {\alpha + \beta }}t$$

$$(ii)\,{1 \over 2}{{\alpha \beta } \over {\alpha + \beta }}{t^2}$$

On those following papers in Subjective

Number in Brackets after Paper Indicates No. of Questions

IIT-JEE 1996 (1) *keyboard_arrow_right*

IIT-JEE 1979 (2) *keyboard_arrow_right*

IIT-JEE 1978 (1) *keyboard_arrow_right*

Units & Measurements *keyboard_arrow_right*

Laws of Motion *keyboard_arrow_right*

Work Power & Energy *keyboard_arrow_right*

Impulse & Momentum *keyboard_arrow_right*

Rotational Motion *keyboard_arrow_right*

Gravitation *keyboard_arrow_right*

Properties of Matter *keyboard_arrow_right*

Heat and Thermodynamics *keyboard_arrow_right*

Waves *keyboard_arrow_right*

Motion *keyboard_arrow_right*

Electrostatics *keyboard_arrow_right*

Current Electricity *keyboard_arrow_right*

Electromagnetic Induction *keyboard_arrow_right*

Magnetism *keyboard_arrow_right*

Geometrical Optics *keyboard_arrow_right*

Wave Optics *keyboard_arrow_right*

Modern Physics *keyboard_arrow_right*

Dual Nature of Radiation *keyboard_arrow_right*

Atoms and Nuclei *keyboard_arrow_right*