Brilliant Pala 2029
2 hours · 240 marks

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Learn the pattern, not just the answer.

Real questions from Brilliant Study Centre Pala's IIT/AIIMS screening tests, with answers and short explanations for revision on a phone.

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Section A: 15 MCQs per subject, +4 correct and -1 incorrect.

Section B: 10 numerical questions per subject, attempt any 5, no negative marks.

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1 December 2024 booklet, Code A

Choose a subject

25 questions · A: 15 MCQ · B: 10 numerical

0 understood

ElectricitySection A
1 December 2024 · Q1 · +4 / -1

The SI unit of electric current is

  1. 1Coulomb
  2. 2Ampere
  3. 3Henry
  4. 4Farad

ElectricitySection A
1 December 2024 · Q2 · +4 / -1

Power dissipated in a resistor is given by

  1. 1P = I^2 R
  2. 2P = V / R
  3. 3P = IR^2
  4. 4P = V^2 / R^2

ElectricitySection A
1 December 2024 · Q3 · +4 / -1

1 kWh is equal to how many joules?

  1. 13.6 x 10^4
  2. 23.6 x 10^5
  3. 33.6 x 10^6
  4. 43.6 x 10^7

GravitationSection A
1 December 2024 · Q4 · +4 / -1

Acceleration due to gravity on the surface of Earth is given by (R is radius, M is mass, G is gravitational constant)

  1. 1GR^2 / M
  2. 2GM^2 / R^2
  3. 3GR^2 / M^2
  4. 4GM / R^2

GravitationSection A
1 December 2024 · Q5 · +4 / -1

Two spheres of masses 20 kg and 16 kg are separated by 2 m. The gravitational force between them is (G is gravitational constant)

  1. 180G
  2. 260G
  3. 340G
  4. 420G

KinematicsSection A
1 December 2024 · Q6 · +4 / -1

An object is dropped from a height of 10 m. With g = 9.8 m/s^2, the speed with which it hits the ground is

  1. 110 m/s
  2. 212 m/s
  3. 314 m/s
  4. 4Zero

MagnetismSection A
1 December 2024 · Q7 · +4 / -1

An electron enters a magnetic field at right angles to it, as shown in the source figure. The direction of force acting on the electron will be

Magnetic fieldElectron
  1. 1To the right
  2. 2To the left
  3. 3Out of the page
  4. 4Into the page

Laws of MotionSection A
1 December 2024 · Q8 · +4 / -1

The rate of change of momentum with respect to time is called

  1. 1Acceleration
  2. 2Energy
  3. 3Power
  4. 4Force

WavesSection A
1 December 2024 · Q9 · +4 / -1

The speed of light in vacuum is

  1. 13 x 10^8 cm/s
  2. 23 x 10^8 m/s
  3. 33 x 10^8 km/s
  4. 43 x 10^8 km/h

SoundSection A
1 December 2024 · Q10 · +4 / -1

A sound wave in air is

  1. 1Transverse
  2. 2Longitudinal
  3. 3Electromagnetic
  4. 4Either longitudinal or transverse

OpticsSection A
1 December 2024 · Q11 · +4 / -1

An object is placed 20 cm from a convex mirror of focal length 10 cm. The image is formed at a distance

  1. 120 cm in front
  2. 26.66 cm in front
  3. 320 cm behind
  4. 46.66 cm behind

ElectricitySection A
1 December 2024 · Q12 · +4 / -1

Which of the following is a conductor of electricity?

  1. 1Air
  2. 2Dried wood
  3. 3Water
  4. 4Rubber

Heating EffectSection A
1 December 2024 · Q13 · +4 / -1

A 2 A current flows through a 40 ohm conductor for one minute. The heat generated is

  1. 19.6 x 10^3 J
  2. 296 x 10^3 J
  3. 3960 x 10^3 J
  4. 49600 x 10^3 J

SoundSection A
1 December 2024 · Q14 · +4 / -1

The frequency range of audible sound for humans is

  1. 10 Hz - 30 Hz
  2. 220 Hz - 20 kHz
  3. 320 kHz - 20,000 kHz
  4. 420 kHz - 20 MHz

OpticsSection A
1 December 2024 · Q15 · +4 / -1

If an object is placed 15 cm from a concave mirror of focal length 10 cm, the image is

  1. 1Magnified and inverted
  2. 2Magnified and erect
  3. 3Small and inverted
  4. 4Small and erect

WavesSection B
1 December 2024 · Q16 · +4 / no negative

A wave travels at 960 m/s. If 3600 waves pass a point in 1 minute, find its wavelength in metres.

Work out the number first. Section B answers are from 0 to 999.

ReflectionSection B
1 December 2024 · Q17 · +4 / no negative

Find the angle of reflection in degrees from the source figure.

40°r
Work out the number first. Section B answers are from 0 to 999.

ResistanceSection B
1 December 2024 · Q18 · +4 / no negative

Find the equivalent resistance between A and B in the given source figure, in ohms.

A16Ω16ΩB
Work out the number first. Section B answers are from 0 to 999.

ElectricitySection B
1 December 2024 · Q19 · +4 / no negative

Calculate the current drawn from the cell in amperes using the given source circuit.

12V
Work out the number first. Section B answers are from 0 to 999.

Work and EnergySection B
1 December 2024 · Q20 · +4 / no negative

A 5 kg body is thrown vertically upward with kinetic energy 490 J. At what height, in metres, does its kinetic energy become half the original value? Use g = 9.8 m/s^2.

Work out the number first. Section B answers are from 0 to 999.

GravitationSection B
1 December 2024 · Q21 · +4 / no negative

If the distance between two spherical bodies is increased four times, by how many times must the mass of one body change to maintain the same gravitational force?

Work out the number first. Section B answers are from 0 to 999.

OpticsSection B
1 December 2024 · Q22 · +4 / no negative

A concave mirror has radius of curvature 24 cm. Find the magnitude of object distance if the image is virtual and three times the object size.

Work out the number first. Section B answers are from 0 to 999.

OpticsSection B
1 December 2024 · Q23 · +4 / no negative

The radius of curvature of a convex mirror is 2 m. Find its focal length in metres.

Work out the number first. Section B answers are from 0 to 999.

ElectricitySection B
1 December 2024 · Q24 · +4 / no negative

A 6 ohm resistor is connected across a 12 V battery. Find the current drawn in amperes.

Work out the number first. Section B answers are from 0 to 999.

ResistanceSection B
1 December 2024 · Q25 · +4 / no negative

Find the effective resistance between P and Q in the given source figure, in ohms.

P48Ω48Ω48ΩQ
Work out the number first. Section B answers are from 0 to 999.