BITSAT Practice Set 1

A ball is thrown vertically upward with a velocity of 20 m/s from the top of a building 60 m high. The time taken by the ball to reach the ground is (g = 10 m/s²):

1. A.2 s
2. B.4 s
3. C.6 s✓
4. D.8 s

Correct answer: C

A block of mass 5 kg is placed on a rough inclined plane making an angle of 30° with the horizontal. If the coefficient of friction is 1/√3, the acceleration of the block sliding down the plane is (g = 10 m/s²):

1. A.5 m/s²
2. B.2.5 m/s²
3. C.0 m/s²✓
4. D.g m/s²

Correct answer: C

A body of mass 4 kg moving with velocity 6 m/s collides with another body of mass 2 kg at rest. If the collision is perfectly inelastic, the kinetic energy lost in the collision is:

1. A.12 J
2. B.24 J✓
3. C.36 J
4. D.48 J

Correct answer: B

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of inclination θ. The acceleration of the centre of mass is:

1. A.gsinθ
2. B.gsinθ/2
3. C.2gsinθ/3✓
4. D.gsinθ/3

Correct answer: C

The gravitational potential energy of a body of mass m at a height h above the surface of the Earth (radius R) is -mgR. The escape velocity from height h is (given h = R):

1. A.vₑ/2
2. B.vₑ/√2✓
3. C.vₑ√2
4. D.2vₑ

Correct answer: B

Three capacitors of 2 μF, 3 μF, and 6 μF are connected in series across a 12 V battery. The charge on each capacitor is:

1. A.6 μC
2. B.12 μC✓
3. C.24 μC
4. D.36 μC

Correct answer: B

A wire of resistance 12 Ω is bent into a circle. The effective resistance between two diametrically opposite points is:

1. A.12 Ω
2. B.6 Ω
3. C.3 Ω✓
4. D.1.5 Ω

Correct answer: C

A circular coil of 200 turns and radius 10 cm carries a current of 2 A. The magnetic field at the centre of the coil is:

1. A.4π × 10⁻⁴ T
2. B.8π × 10⁻⁴ T✓
3. C.2π × 10⁻⁴ T
4. D.16π × 10⁻⁴ T

Correct answer: B

A concave mirror of focal length 20 cm produces a real image that is three times the size of the object. The object distance is:

1. A.20 cm
2. B.80/3 cm✓
3. C.40 cm
4. D.60 cm

Correct answer: B

In a common-emitter transistor amplifier, the input resistance is 1 kΩ, the output resistance is 5 kΩ, and the current gain (β) is 100. The voltage gain of the amplifier is:

1. A.100
2. B.200
3. C.500✓
4. D.1000

Correct answer: C

How many moles of oxygen are present in 64 g of O₂?

1. A.1
2. B.2✓
3. C.3
4. D.4

Correct answer: B

The maximum number of electrons that can be accommodated in the 3d subshell is:

1. A.6
2. B.8
3. C.10✓
4. D.14

Correct answer: C

Among BF₃, NH₃, NF₃, and BCl₃, the molecules with zero dipole moment are:

1. A.BF₃ and NH₃
2. B.NH₃ and NF₃
3. C.BF₃ and BCl₃✓
4. D.BF₃ and NF₃

Correct answer: C

The pH of a 0.001 M HCl solution is:

1. A.1
2. B.2
3. C.3✓
4. D.4

Correct answer: C

The standard enthalpy of formation of CO₂(g) is -393.5 kJ/mol. The enthalpy change when 24 g of carbon (graphite) is completely burnt in excess oxygen is:

1. A.-393.5 kJ
2. B.-787.0 kJ✓
3. C.-196.75 kJ
4. D.-1574 kJ

Correct answer: B

In the electrochemical series, the metal that is the strongest reducing agent is:

1. A.Sodium
2. B.Potassium
3. C.Lithium✓
4. D.Caesium

Correct answer: C

The element that shows the maximum number of allotropes in the p-block is:

1. A.Sulphur
2. B.Carbon✓
3. C.Phosphorus
4. D.Tin

Correct answer: B

The IUPAC name of the complex [Co(NH₃)₅Cl]Cl₂ is:

1. A.Pentaamminechloridocobalt(III) chloride✓
2. B.Chloridopentaamminecobalt(III) chloride
3. C.Pentaamminechloridocobalt(II) chloride
4. D.Pentachloridoamminecobalt(III) chloride

Correct answer: A

The number of isomers possible for the alkene C₄H₈ is:

1. A.2
2. B.3✓
3. C.4
4. D.5

Correct answer: B

Which of the following amino acids is NOT essential for the human body?

1. A.Valine
2. B.Leucine
3. C.Alanine✓
4. D.Isoleucine

Correct answer: C

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, then A ∩ B is:

1. A.{1, 2, 3, 4, 5, 6}
2. B.{3, 4}✓
3. C.{1, 2, 5, 6}
4. D.{1, 2}

Correct answer: B

If one root of the equation x² - 5x + k = 0 is 2, then the value of k is:

1. A.4
2. B.5
3. C.6✓
4. D.7

Correct answer: C

The coefficient of x³ in the expansion of (1 + x)¹ is:

1. A.56
2. B.84✓
3. C.120
4. D.126

Correct answer: B

The sum of the first 20 terms of the arithmetic progression 3, 7, 11, 15, ... is:

1. A.780
2. B.820✓
3. C.860
4. D.900

Correct answer: B

The value of sin²(π/6) + cos²(π/3) + tan²(π/4) is:

1. A.1
2. B.3/2✓
3. C.2
4. D.5/2

Correct answer: B

The slope of the line passing through the points (2, 3) and (5, 9) is:

1. A.1
2. B.2✓
3. C.3
4. D.1/2

Correct answer: B

The value of lim(x→0) (sin 5x)/(3x) is:

1. A.1
2. B.3/5
3. C.5/3✓
4. D.0

Correct answer: C

The value of ∫₀² (3x² + 2x) dx is:

1. A.8
2. B.10
3. C.12✓
4. D.14

Correct answer: C

A bag contains 5 red and 3 blue balls. If two balls are drawn at random without replacement, the probability that both are red is:

1. A.5/14✓
2. B.5/8
3. C.25/64
4. D.10/28

Correct answer: A

If A is a square matrix of order 3 such that |A| = 5, then |2A| is:

1. A.10
2. B.20
3. C.40✓
4. D.80

Correct answer: C