Free IIT JEE IIT - JEE Mains Worksheets

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Sample IIT JEE IIT - JEE Mains Worksheet Questions

1.

The compressibility factor (Z) of an ideal gas is always

1.

0

2.

1

3.

>1

4.

<1

2.

The radius vector of point x relative to origin varies with time as
r=a cos(kt)i+b sin(kt)j
Where a and b are constants and i and j are vectors along x and y axis. Which one of the following is the mean velocity vector?

1.
1. [a cos(kt)- b sin(kt)j]/t
2.
1. [a cos(kt)+ b sin(kt)j]
3.
1. [a cos(kt)- b sin(kt)j]
4.
1. [a cos(kt)+b sin(kt)j]/t
3.

When NaCl dissolved in water

1.

Hydrolysed

2.

Oxidised

3.

Reduced

4.

Hydrated

4.

Reaction between sodium and water is a

1.

Redox reaction

2.

Reduction

3.

Oxidation

4.

Neutralisation

5.

The best and latest technique for isolation, purification and separation of organic compounds is:

1.

Crystallisation

2.

Distillation

3.

Sublimation

4.

Chromatography

6.

Length of a simple pendulum is 2m and mass of its bob is 0.2 kg. If the tension in the string exceeds 4N, it will break. If the bob is whirled in horizontal plane, the maximum angle the string can make with vertical during rotation is

1.

30 deg

2.

45 deg

3.

60 deg

4.

90 deg

7.

Two metal balls of equal mass (100 g) are separated by a distance (d). In state 1, shown in the figure, the left ball has a charge of +20 µC, while the right ball has a charge of –20 µC. In state 2, both balls have an identical charge of –40 µC.

An experimenter claims that he took the balls from state 1 to state 2 without causing them to contact anything other than each other. Which of the following statements provides correct evidence for the reasonability of this claim?

1.

The claim is not reasonable, because there was more net charge in the two-ball system in state 2 than in state 1.

2.

The claim is not reasonable, because there was identical charge on each ball in state 2.

3.

The claim is reasonable, because in both states, each ball carried the same magnitude of charge as the other.

4.

The claim is reasonable, because the positive charge in state 1 could have been canceled out by the available negative charge.

8.

When the block topples about A, the normal force :

1.

1) passing through centre mass

2.

2) is zero

3.

3) shifts to the right and pass through rightmost edge containing A

4.

4) is zero if the surface is smooth

9.

A chain of 100 links is 1m long and has a mass of 2kg. With the ends fastened together it is set rotating at 3000 rpm, in a horizontal plane.The centripetal force on each link is

1.

3140N

2.

3.14N

3.

31.4N

4.

314N

10.

The magnitude of displacement and average velocity of the top of the seconds hand of a clock of dial Radius R = 25 cm during t = 10s.

1.

1/2 and 1/40

2.

1/4 and 1/20

3.

1/4 and 1/40

4.

1/2 and 1/30

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