JEE Practice Test

Question 1

Three projectiles A, B and C are thrown from the same point in the same plane. Their trajectories are shown in the figure.
Which of the following statements is true?

Accepted Answer

All of the above.

Answer

The time of flight is same for all the three projectiles.

Answer

The launch speed is greatest for projectile C.

Answer

The horizontal velocity component is greatest for projectile C.

Question 2

Assertion (A): Path of a projectile with respect to another projectile is straight line.
Reason (R): Acceleration of a projectile with respect to another projectile is zero.

Accepted Answer

Both, (A) and (R), are true and (R) is the correct explanation of the assertion

Answer

Both, (A) and (R), are true but (R) is not the correct explanation of assertion

Answer

If (A) is true but (R) is false

Answer

If (A) is false but (R) is true

Question 3

The x and y coordinates of a particle at any time t are given by x = 7t + 4t² and y = 5t, where x and y are in m and t in s. The acceleration of the particle at 5s is

Accepted Answer

8 m/s²

Answer

zero

Answer

20 m/s²

Answer

40 m/s²

Question 4

The equation of a projectile is y = √3x - gx²/2.
Find the angle of projection.

Accepted Answer

60°

Answer

30°

Answer

45°

Answer

None of these

Question 5

A ball is thrown up at an angle with the horizontal. Then the total change of momentum by the instant it returns to ground is

Accepted Answer

weight of the ball × total time of flight

Answer

acceleration due to gravity × total time of flight

Answer

weight of the ball × half the time of flight

Answer

weight of the ball × horizontal range

Question 6

In which of the following graphs, the total change in momentum is zero?

Accepted Answer

C

Answer

Answer

Answer

Answer

Question 7

A block of mass 5 kg resting on a horizontal surface is connected by a cord, passing over a light frictionless pulley to a hanging block of mass 5 kg. The coefficient of kinetic friction between the block and the surface is 0.5. Tension in the cord is (g = 9.8 m/s²)

Accepted Answer

36.75N

Answer

49N

Answer

Zero

Answer

12.75N

Question 8

Block B is moving towards right with constant velocity v₀. Velocity of block A with respect to block B is - (Assume all pulleys and strings are ideal)

Accepted Answer

v₀/2 right

Answer

v₀/2 left

Answer

3/2 v₀ right

Answer

3/2 v₀ left

Question 9

Figure shows a 5 kg ladder hanging from a string that is connected with a ceiling and is having a spring balance connected in between. A boy of mass 25 kg is climbing up the ladder at acceleration 1 m/s². Assuming the spring balance and the string to be massless and the spring to show a constant reading, the reading of the spring balance is: (Take g = 10 m/s²)

Accepted Answer

32.5 kg

Answer

30 kg

Answer

35 kg

Answer

37.5 kg

Question 10

As shown in the figure, two equal masses each of 2 kg are suspended from a spring balance. The reading of the spring balance will be

Accepted Answer

2 kg

Answer

Zero

Answer

4 kg

Answer

Between zero and 2 kg

Question 11

A projectile is thrown horizontally from a height of 10 m with velocity of √2 m/s. The projectile will fall, from the foot of projection at distance (g = 10 m/s²)

Accepted Answer

2 m

Answer

1 m

Answer

3 m

Answer

√2 m

Question 12

A body of mass 10 kg is suspended by two massless strings making angles 45° and 30° with horizontal as shown in the figure then

Accepted Answer

√2T₁ - √3T₂ = 0

Answer

√2T₁ + 3T₂ = 0

Answer

2T₁ - √3T₂ = 0

Answer

√2T₁ - 3T₂ = 0

Question 13

A wooden block of mass m resting on a rough horizontal table (coefficient of friction = μ) is pulled by a force F as shown in figure. The acceleration of the block moving horizontally is:

Accepted Answer

F / m (cosθ + µ sinθ) - µg

Answer

F cos θ / m

Answer

µF cos θ / m

Answer

None

Question 14

At a given instant, A is moving with velocity of 5 m/s upwards. What is velocity of B at that time?

Accepted Answer

15 m/s↓

Answer

15 m/s↑

Answer

5 m/s↓

Answer

5 m/s↑

Question 15

A force of 100 N is applied on a block of mass 3 kg as shown in figure. The coefficient of friction between the surface and the block is 1/4. Then the friction force acting on the block is

Accepted Answer

20 N downwards

Answer

15 N downwards

Answer

25 N upwards

Answer

30 N upwards

Question 16

A block placed on a rough inclined plane of inclination (θ = 30°) can just be pushed upwards by applying a force "F" as shown. If the angle of inclination of the inclined plane is increased to (θ = 60°), the same block can just be prevented from sliding down by application of a force of same magnitude. The coefficient of friction between the block and the inclined plane is

Accepted Answer

(√3-1) / (√3+1)

Answer

(√3+1) / (√3-1)

Answer

(2√3-1) / (√3+1)

Answer

None of these

Question 17

In the figure shown, the coefficient of static friction between the block A of mass 20 kg and horizontal table is 0.2. What should be the minimum mass of hanging block just beyond which blocks start moving?

Accepted Answer

4 kg

Answer

2 kg

Answer

3 kg

Answer

5 kg

Question 18

In the figure shown, the two projectiles are fired simultaneously. Find the minimum distance between them during their flight.

Accepted Answer

10 m

Answer

20 m

Answer

30 m

Answer

None of these

Question 19

Two trains are each 50 m long moving parallel towards each other at speeds 10 ms⁻¹ and 15 ms⁻¹ respectively, at what time will they pass each other?

Accepted Answer

4s

Answer

8s

Answer

2s

Answer

6s

Question 20

An aeroplane is travelling horizontally at a height of 2000 m from the ground. The aeroplane, when at a point P, drops a bomb to hit a stationary target Q on the ground. In order that the bomb hits the target, what angle must the line PQ make with the vertical? (Take, g = 10 ms⁻²)

Accepted Answer

45°

Answer

30°

Answer

60°

Answer

90°

Question 21

Three blocks of masses m₁, m₂ and m₃ are connected by massless string as shown kept on a frictionless table. They are pulled with a force T₃ = 40 N. If m₁ = 10 kg, m₂ = 6 kg and m₃ = 4 kg, the tension T₂ (in N) will be

Question 22

A man walks in rain with a velocity of 5 km h⁻¹. The rain drops strike at him at an angle of 45° with the horizontal. Velocity of rain if it is falling vertically downward is _________ km/h.

Question 23

A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water (in km/hr) is _________

Question 24

A football player throws a ball with a velocity of 50 metre /sec at an angle 30 degrees from the horizontal. The ball remains in the air for _________ s. (g = 10 m/s²)

Question 25

The velocity of block A (in m/s) is _________

Question 26

What is the maximum value of the force F (in N) such that the block shown in the arrangement, does not move? [g = 10 m/s²]

Question 27

A projectile fired at 30° to the ground is observed to be at same height at time 3s and 5s after projection, during its flight. The speed of projection of the projectile is _________ ms⁻¹ (Given g = 10 ms⁻²)

Question 28

A body is projected with a velocity v₁ from the point A as shown in the figure. At the same time, another body is projected vertically upwards from B with velocity v₂. The point B lies vertically below the highest point. For both the bodies to collide, v₂/v₁ should be 1/x, then x = _________

Question 29

An arrow is shot into the air. Its range is 200 metres and its time of flight is 5 s. If the value of g is assumed to be 10 ms⁻², then the horizontal component of the velocity of arrow is 200/x m/s. Find x _________

Question 30

A block of mass m placed on an inclined plane of angle of inclination 45° slides down the plane with constant speed. The coefficient of kinetic friction between block and inclined plane is _________

Question 31

The octet rule is observed in:

Accepted Answer

CO₂

Answer

PCl₅

Answer

BCl₃

Answer

SF₆

Question 32

Element X is strongly electropositive and Y is strongly electronegative. Both are univalent. Then the formula of the compound formed would be:

Accepted Answer

X⁺Y⁻

Answer

X-Y

Answer

XY'

Answer

X → Y

Question 33

Which among the following is an electron deficient compound?

Accepted Answer

BH₃

Answer

NH₃

Answer

CO₂

Answer

CH₄

Question 34

Which of the following species is tetrahedral?

Accepted Answer

CH₄

Answer

SF₄

Answer

ICl₄⁻

Answer

XeF₄

Question 35

The correct order of increasing bond angles in the following species is:

Accepted Answer

SO₂ < SO₃ < CO₂

Answer

CH₄ < NH₃ < H₂O

Answer

CO₂ < SO₂ < SO₃

Answer

CH₄ < H₂O < NH₃

Question 36

Which of the following structures of a molecule is expected to have three bond pairs and one lone pair of electrons?

Accepted Answer

Pyramidal

Answer

Trigonal Planar

Answer

Tetrahedral

Answer

Octahedral

Question 37

In NO₃⁻ ion, the number of bond pairs and lone pairs of electrons on N atom are:

Accepted Answer

4,0

Answer

2,2

Answer

3,1

Answer

1,3

Question 38

A π-bond is formed by the overlap of:

Accepted Answer

p-p orbitals in sideways manner

Answer

s-s orbital

Answer

s-p orbital

Answer

p-p orbital in head on manner

Question 39

The hybridization of S in SO₄²⁻ is same as:

Accepted Answer

P in PO₄³⁻

Answer

I in ICl₄⁻

Answer

S in SO₃

Answer

N in NO₃⁻

Question 40

The correct geometry and hybridization for XeF₄ are:

Accepted Answer

Square planar, sp³d²

Answer

Trigonal planar, sp³d³

Answer

Octahedral, sp³d²

Answer

Trigonal bipyramidal, sp³d

Question 41

Lewis structure of the elements M and Z are shown below.
·M· ·Z·
Compound formed is:

Accepted Answer

MZ

Answer

M₅Z₃

Answer

M₂Z₃

Answer

MZ₃

Question 42

Which of the following is the most polar?

Accepted Answer

C-F

Answer

Cl-Cl

Answer

N-F

Answer

O-F

Question 43

Nitrogen does not form NF₅ because:

Accepted Answer

It does not contain d-orbitals.

Answer

Nitrogen is a member of V group.

Answer

The bond energy of N ≡ N is very high.

Answer

Inert pair effect exists in the molecules.

Question 44

Which of the following statements are correct based on given Lewis dot structure?
H H
8e 8e
8e 8e 8e
8e 8e

Accepted Answer

:N:::N:

Answer

H-C(::)C-H

Answer

:O:C::O:

Answer

H-O-C-O-H

Answer

(i) and (iv) represents formation of triple bond.

Answer

Only (iii) represents formation of double bond.

Answer

Only (ii) represents formation of single bond.

Answer

(ii) and (iii) both represents formation of single bond.

Question 45

Among the following molecules:
Those having same number of lone pairs on Xe are:

Accepted Answer

(i) and (ii) only

Answer

XeO₃

Answer

XeOF₄

Answer

XeF₆

Answer

(i) and (iii) only

Answer

(ii) and (iii) only

Answer

(i), (ii) and (iii)

Question 46

Which of the following do(es) not represent correct lewis symbol?
:C: :Ö: :Ne: Be ·B·
I II III IV V

Accepted Answer

II and III

Answer

I, IV and V

Answer

II, III and IV

Answer

II only

Question 47

Shape of I₃⁻ ion is:

Accepted Answer

Angular

Answer

Linear

Answer

Tetrahedral

Answer

Trigonal planar

Question 48

Which of the following species show deviation from the octet's rule?

Accepted Answer

All of the above

Answer

AlCl₃

Answer

SF₆

Answer

NO

Question 49

Assertion: Dipole moment of NF₃ is less than that of NH₃.
Reason: Polarity of N-F bond is less than that of N-H bond.

Accepted Answer

Assertion is true statement but reason is false.

Answer

Both assertion and reason are true and reason is the correct explanation of assertion.

Answer

Both assertion and reason are true but reason is not the correct explanation of assertion.

Answer

Both assertion and reason are false statements.

Question 50

Which of the following would have a permanent dipole moment?

Accepted Answer

SF₄

Answer

BF₃

Answer

SiF₄

Answer

XeF₄

Question 51

In the lewis dot structure for NO₂⁺, total number of valence electrons around nitrogen is _________

Question 52

Based on VSEPR theory, the number of 90° F-Br-F angles in a molecule of BrF₅ is _________

Question 53

The sum of number of lone pairs of electrons present on the central atoms of XeO₃, XeOF₄, XeF₂ and XeF₆, is _________

Question 54

Number of molecules from the following which are exceptions to octet rule is _________
CO₂, NO₂, H₂SO₄, BF₃, CH₄, SiF₄, ClO₂, PCl₅, BeF₂, C₂H₆, CHCl₃, CBr₄

Question 55

The total number of molecules with zero dipole moment among CH₄, BF₃, H₂O, HF, NH₃, CO₂ and SO₂ is _________

Question 56

The number of total electrons shared between nitrogen atoms in N₂ is _________

Question 57

Calculate the number of π-d bond(s) present in SO₄²⁻ _________

Question 58

The sum of number of sigma and pi bonds formed between two carbon atoms in CaC₂ are: _________

Question 59

In OF₂, the sum of the total number of bond pairs and lone pairs are: _________

Question 60

The formal charge on the carbon atom in the carbonate ion is: _________

Question 61

Let the sequence a₁,a₂, a₃...a₂n₋₁,a₂n form an A.P. Then the value of
a₁²-a₂²+a₃²-.....+a₂n₋₁²-a₂n² is

Accepted Answer

n / (2n-1) (a₁²-a₂n)

Answer

n / (2n-1) (a₁²-a₂n²)

Answer

n / (n+1) (a₁²+a₂n)

Answer

n / (n-1) (a₁²+a₂n)

Question 62

Let a, b, c be distinct complex numbers such that (a/(1-b)) = (b/(1-c)) = (c/(1-a)) = k. Then which of the following is not the value of k?

Accepted Answer

-1

Answer

-ω

Answer

-ω²

Answer

None of these

Question 63

If z = ((√3+i)/2)⁵ + ((√3-i)/2)⁵ , then

Accepted Answer

Im(z)=0

Answer

Re(z)=0

Answer

Re(z)>0,Im(z)>0

Answer

Re(z)>0,Im(z)<0

Question 64

The value of sum 3+5+6+9+10+12+15+18+20 + ... + 100 is equal to

Accepted Answer

2418

Answer

2481

Answer

2814

Answer

2184

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