VITEEE Practice Set 1

VITEEE · 2026 · with answers and explanations

questions
30
Total marks
32
Duration
150 minutes
Negative marking
−1

Subjects: Science · Physics · Chemistry · Mathematics

Question 1

Science · 3 marks · −1

The SI unit of force is:

  1. A.Joule
  2. B.Watt
  3. C.Newton
  4. D.Pascal

Correct answer: C

Explanation: Force is measured in newton (N); joule is energy, watt is power, pascal is pressure.

Question 2

Physics · 1 marks

A car starts from rest and accelerates uniformly at 2 m/s². The distance covered by the car in the first 5 seconds is:

  1. A.10 m
  2. B.20 m
  3. C.25 m
  4. D.50 m

Correct answer: C

Explanation: Using s = ut + ½at² with u = 0: s = 0 + ½(2)(5²) = 25 m.

Question 3

Physics · 1 marks

Newton's first law of motion defines the concept of:

  1. A.Force
  2. B.Momentum
  3. C.Inertia
  4. D.Energy

Correct answer: C

Explanation: Newton's first law states that a body continues in its state of rest or uniform motion unless acted upon by an external force. This defines the concept of inertia.

Question 4

Physics · 1 marks

The speed of sound in air at room temperature is approximately:

  1. A.3 × 10⁸ m/s
  2. B.340 m/s
  3. C.1500 m/s
  4. D.5100 m/s

Correct answer: B

Explanation: The speed of sound in air at room temperature (around 20°C) is approximately 343 m/s, which is close to 340 m/s.

Question 5

Physics · 1 marks

Which of the following electromagnetic waves has the longest wavelength?

  1. A.Gamma rays
  2. B.X-rays
  3. C.Microwaves
  4. D.Radio waves

Correct answer: D

Explanation: Radio waves have the longest wavelength in the electromagnetic spectrum, ranging from about 1 mm to over 100 km.

Question 6

Physics · 1 marks

The work function of a metal is 4 eV. The threshold wavelength for photoelectric emission is approximately (hc = 1240 eV·nm):

  1. A.310 nm
  2. B.620 nm
  3. C.155 nm
  4. D.496 nm

Correct answer: A

Explanation: Threshold wavelength λ₀ = hc/φ = 1240/4 = 310 nm.

Question 7

Physics · 1 marks

Two resistors of 6 Ω and 3 Ω are connected in parallel. The equivalent resistance is:

  1. A.9 Ω
  2. B.2 Ω
  3. C.4.5 Ω
  4. D.1 Ω

Correct answer: B

Explanation: For parallel combination: 1/R = 1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2. So R = 2 Ω.

Question 8

Physics · 1 marks

The electric field at a point on the equatorial line of an electric dipole at a large distance r from the centre of the dipole is proportional to:

  1. A.1/r
  2. B.1/r²
  3. C.1/r³
  4. D.1/r⁴

Correct answer: C

Explanation: The electric field on the equatorial line of a dipole at large distance is E = kp/r³, where p is the dipole moment. So E ∝ 1/r³.

Question 9

Physics · 1 marks

In an n-type semiconductor, the majority charge carriers are:

  1. A.Holes
  2. B.Electrons
  3. C.Protons
  4. D.Neutrons

Correct answer: B

Explanation: In an n-type semiconductor, pentavalent impurity atoms are added which contribute extra electrons. Hence electrons are the majority charge carriers.

Question 10

Physics · 1 marks

The coefficient of viscosity has dimensions of:

  1. A.[ML⁻¹T⁻²]
  2. B.[ML⁻¹T⁻¹]
  3. C.[MLT⁻²]
  4. D.[ML²T⁻¹]

Correct answer: B

Explanation: Viscosity η = F/(A × dv/dx), so [η] = [Force]/([Area][velocity gradient]) = [MLT⁻²]/([L²][T⁻¹]) = [ML⁻¹T⁻¹].

Question 11

Chemistry · 1 marks

The number of atoms present in one mole of helium gas is:

  1. A.6.022 × 10²²
  2. B.6.022 × 10²³
  3. C.3.011 × 10²³
  4. D.1.204 × 10²⁴

Correct answer: B

Explanation: One mole of any substance contains Avogadro's number of particles. Since helium is monatomic, one mole of helium contains 6.022 × 10²³ atoms.

Question 12

Chemistry · 1 marks

In the modern periodic table, elements are arranged in order of their:

  1. A.Atomic mass
  2. B.Atomic number
  3. C.Electronegativity
  4. D.Electron affinity

Correct answer: B

Explanation: In the modern periodic table (Moseley's periodic law), elements are arranged in the order of increasing atomic number, not atomic mass.

Question 13

Chemistry · 1 marks

The shape of the ammonia (NH₃) molecule is:

  1. A.Tetrahedral
  2. B.Trigonal planar
  3. C.Trigonal pyramidal
  4. D.V-shaped

Correct answer: C

Explanation: NH₃ has 3 bond pairs and 1 lone pair around the central nitrogen atom (sp³ hybridised). The molecular shape is trigonal pyramidal with a bond angle of about 107°.

Question 14

Chemistry · 1 marks

Which of the following is the most electronegative element in the periodic table?

  1. A.Oxygen
  2. B.Chlorine
  3. C.Fluorine
  4. D.Nitrogen

Correct answer: C

Explanation: Fluorine is the most electronegative element in the periodic table with an electronegativity value of 4.0 on the Pauling scale.

Question 15

Chemistry · 1 marks

An organic compound that decolourises bromine water is likely to contain:

  1. A.Only single bonds
  2. B.A carbon-carbon double or triple bond
  3. C.An amino group
  4. D.A carboxyl group

Correct answer: B

Explanation: Unsaturated organic compounds (containing C=C or C≡C bonds) decolourise bromine water through an addition reaction. The brown colour of bromine disappears as it adds across the double or triple bond.

Question 16

Chemistry · 1 marks

The general formula of alkanes is:

  1. A.CₙH₂ₙ
  2. B.CₙH₂ₙ₊₂
  3. C.CₙH₂ₙ₋₂
  4. D.CₙHₙ

Correct answer: B

Explanation: Alkanes are saturated hydrocarbons with only single bonds between carbon atoms. Their general formula is CₙH₂ₙ₊₂.

Question 17

Chemistry · 1 marks

The molarity of a solution prepared by dissolving 4 g of NaOH (molar mass = 40 g/mol) in water to make 500 mL of solution is:

  1. A.0.1 M
  2. B.0.2 M
  3. C.0.4 M
  4. D.1.0 M

Correct answer: B

Explanation: Moles of NaOH = 4/40 = 0.1 mol. Volume = 500 mL = 0.5 L. Molarity = moles/volume = 0.1/0.5 = 0.2 M.

Question 18

Chemistry · 1 marks

The quantum numbers of the last electron in sodium (Z = 11) are:

  1. A.n=3, l=0, mₗ=0, mₛ=+1/2
  2. B.n=3, l=1, mₗ=0, mₛ=+1/2
  3. C.n=2, l=1, mₗ=1, mₛ=-1/2
  4. D.n=3, l=0, mₗ=1, mₛ=+1/2

Correct answer: A

Explanation: Sodium has electronic configuration 1s² 2s² 2p⁶ 3s¹. The last electron enters the 3s orbital: n = 3, l = 0, mₗ = 0, mₛ = +1/2.

Question 19

Chemistry · 1 marks

Which of the following is a reducing sugar?

  1. A.Sucrose
  2. B.Glucose
  3. C.Cellulose
  4. D.Starch

Correct answer: B

Explanation: Glucose is a reducing sugar because it has a free aldehyde group (-CHO) that can reduce Tollens' reagent and Fehling's solution. Sucrose is a non-reducing sugar.

Question 20

Chemistry · 1 marks

In the standard hydrogen electrode, the reduction potential is defined as:

  1. A.-1.00 V
  2. B.0.00 V
  3. C.+1.00 V
  4. D.+0.76 V

Correct answer: B

Explanation: The standard hydrogen electrode (SHE) is the primary reference electrode. Its standard reduction potential is arbitrarily defined as 0.00 V at all temperatures.

Question 21

Mathematics · 1 marks

If f(x) = x³ - 3x + 2, the value of f(1) is:

  1. A.0
  2. B.2
  3. C.4
  4. D.-2

Correct answer: A

Explanation: f(1) = (1)³ - 3(1) + 2 = 1 - 3 + 2 = 0.

Question 22

Mathematics · 1 marks

The value of cos 60° is:

  1. A.0
  2. B.1/2
  3. C.√3/2
  4. D.1

Correct answer: B

Explanation: cos 60° = 1/2. This is a standard trigonometric value.

Question 23

Mathematics · 1 marks

The sum of the infinite geometric series 1 + 1/2 + 1/4 + 1/8 + ... is:

  1. A.1
  2. B.3/2
  3. C.2
  4. D.∞

Correct answer: C

Explanation: This is an infinite GP with first term a = 1 and common ratio r = 1/2. Sum = a/(1-r) = 1/(1 - 1/2) = 1/(1/2) = 2.

Question 24

Mathematics · 1 marks

The number of ways to arrange 4 books on a shelf is:

  1. A.4
  2. B.12
  3. C.24
  4. D.256

Correct answer: C

Explanation: The number of arrangements of 4 distinct books = 4! = 4 × 3 × 2 × 1 = 24.

Question 25

Mathematics · 1 marks

The equation of a line passing through the origin with slope 3 is:

  1. A.y = 3x
  2. B.y = x + 3
  3. C.y = x/3
  4. D.3y = x

Correct answer: A

Explanation: Using the slope-intercept form y = mx + c: the line passes through the origin so c = 0, and slope m = 3. The equation is y = 3x.

Question 26

Mathematics · 1 marks

The equation of a circle with centre (2, 3) and radius 5 is:

  1. A.(x-2)² + (y-3)² = 25
  2. B.(x+2)² + (y+3)² = 25
  3. C.(x-2)² + (y-3)² = 5
  4. D.x² + y² = 25

Correct answer: A

Explanation: Standard form of a circle with centre (h, k) and radius r is (x-h)² + (y-k)² = r². So (x-2)² + (y-3)² = 25.

Question 27

Mathematics · 1 marks

If f(x) = x², then f'(x) is:

  1. A.x
  2. B.2x
  3. C.x²
  4. D.2

Correct answer: B

Explanation: Using the power rule of differentiation: d/dx(x²) = 2x.

Question 28

Mathematics · 1 marks

The number of terms in the expansion of (a + b)⁷ is:

  1. A.7
  2. B.8
  3. C.14
  4. D.49

Correct answer: B

Explanation: By the binomial theorem, (a + b)ⁿ has (n + 1) terms. So (a + b)⁷ has 7 + 1 = 8 terms.

Question 29

Mathematics · 1 marks

A die is thrown once. The probability of getting a number greater than 4 is:

  1. A.1/6
  2. B.1/3
  3. C.1/2
  4. D.2/3

Correct answer: B

Explanation: Numbers greater than 4 on a die are 5 and 6 (2 favourable outcomes out of 6 total). Probability = 2/6 = 1/3.

Question 30

Mathematics · 1 marks

The order of the differential equation d²y/dx² + 3(dy/dx) + 2y = 0 is:

  1. A.1
  2. B.2
  3. C.3
  4. D.0

Correct answer: B

Explanation: The order of a differential equation is the order of the highest derivative present. Here the highest derivative is d²y/dx² (second derivative), so the order is 2.

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