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JEE Physics Solved Question Paper 2009

Multiple Choice Questions

The number of significant figures in the numbers 4.8000 x 10⁴ and 48000.50 are respectively

5 and 6
5 and 7
2 and 7
2 and 6

2.
A body of mass m moving along a straight line covers half the distance with a speed of 2ms^-1. The remaining half of the distance is covered in two equal time intervals with a speed of 3 ms^-1 and 5 ms^-1 respectively. The average speed of the particle for the entire journey is

$\frac{3}{8} {ms}^{- 1}$

$\frac{8}{3} {ms}^{- 1}$

$\frac{4}{3} {ms}^{- 1}$

$\frac{16}{3} {ms}^{- 1}$

$\frac{8}{3} {ms}^{- 1}$

Let the total distance travelled by the body is 2S. If t₁ is the time taken by the body to travel first half of the distance, then

$t_{1} = \frac{S}{2}$

Let t₂ be the time taken by the body for each time interval for the remaining half journey.

∴ S = 3t₂ + 5t₂ = 8t₂

So, average speed is,

$= \frac{Total distance travelled}{Total time taken} = \frac{2 S}{t_{1} + 2 t_{2}} = \frac{2 S}{\frac{S}{2} + \frac{S}{4}} = \frac{8}{3} {ms}^{- 1}$

The moment of inertia ofa circular ring of radius r and mass M about diameteris

$\frac{2}{5} {Mr}^{2}$
$\frac{{Mr}^{2}}{4}$
$\frac{{Mr}^{2}}{2}$
$\frac{{Mr}^{2}}{12}$

A body of mass 0.05 kg is observed to fall with an acceleration of 9.5 ms^-2. The opposing force of air on the body is (g = 9.8 ms^-2)

0.015 N
0.15 N
0.030 N
zero

Three concurrent co-planar forces 1 N, 2 N and 3 N acting along different directions on a body

can keep the body in equilibrium if 2 N and 3 N act at right angle
can keep the body in equilibrium if 1 N and 2 N act at right angle
cannot keep the body in equilibrium
can keep the body in equilibrium in 1 N and 3 N act at an acute angle

Two rectangular blocks A and B of masses 2 kg and 3 kg respectively are connected by a spring of spring constant 10.8 Nm^-1 and are placed on a frictionless horizontal surface. The block A was given an initial velocity of 0.15 ms^-1. in the direction shown in the figure. The maximum compression of the spring during the motion is

0.01 m
0.02 m
0.05 m
0.03 m

The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 m is

225 J
200 J
400 J
175 J

A door 1.6 m wide requires a force of 1 N to be applied at the free end to open or close it. The force that is required at a point 0.4 m distance from the hinges for opening or closing the door is