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JEE Physics Solved Question Paper 2004

Multiple Choice Questions

Which one of the following represents the correct dimensions of the coefficient of viscosity?

ML⁻¹ T⁻²
MLT⁻¹
ML⁻¹ T⁻¹
ML⁻¹ T⁻¹

403 Views

2.
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

x²

e^x

x

x

x²

In this problem acceleration (a) is given in terms of displacement (x) to determine the velocity with respect to position or displacement we have to apply integration method.
From given information a =-kx, where a is acceleration, x is displacement and k is proportionality constant.

$vdx over dx space equals space minus space kx space open square brackets therefore space dv over dt space equals space fraction numerator begin display style dv end style over denominator dx end fraction open parentheses dx over dt close parentheses space equals space straight v dv over dx close square brackets straight v space dv space equals space minus kx space dx$
Let for any displacement from 0 to x , the velocity changes from v_o to v

$integral subscript straight v subscript straight o end subscript superscript straight v space vdv space equals space minus integral subscript 0 superscript straight x space kx space dx rightwards double arrow space integral subscript 0 superscript straight x space kx space dx rightwards double arrow space fraction numerator straight v squared minus straight v subscript 0 superscript 2 over denominator 2 end fraction space equals space minus space kx squared over 2 rightwards double arrow space straight m space open parentheses fraction numerator straight v squared minus space straight v subscript 0 superscript 2 over denominator 2 end fraction close parentheses space equals space fraction numerator negative mkx squared over denominator 2 end fraction increment straight K space proportional to space straight x squared$

493 Views

A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds?

h/9 metres from the ground
7h/9 metres from the ground
8h/9 metres from the ground
8h/9 metres from the ground

267 Views

If space straight A with rightwards arrow on top space straight x space straight B with rightwards arrow on top space equals space straight B with rightwards arrow on top space straight x space straight A with rightwards arrow on top

then the angle between A and B isπ

π
π/3
π/2
π/2

163 Views

A projectile can have the same range R for two angles of projection. If T₁ and T₂ be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

1/R²
1/R
R
R

271 Views

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

The velocity vector is tangent to the circle.
The acceleration vector is tangent to the circle.
The acceleration vector points to the centre of the circle.
The acceleration vector points to the centre of the circle.

165 Views

An automobile travelling with speed of 60 km/h, can brake to stop within a distance of 20 cm. If the car is going twice as fast, i.e 120 km/h, the stopping distance will be

20 m
40 m
60 m
60 m

168 Views

A machine gun fires a bullet of mass 40 g with a velocity 1200 ms⁻¹. The man holding it can exert a maximum force of 144 N on the gun. How many bullets can he fire per second at the most?

one
Four
Two
Two

265 Views

Two masses m₁ = 5 kg and m₂ = 4.8 kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift free to move?
(g = 9.8 m/s² )

0.2 m/s²
9.8 m/s²
5 m/s²
5 m/s²

543 Views

10.

A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain on the table?