BITSAT 2024 Question Paper

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

If you measure two quantities, A = 1.0 m ± 0.2 m and B = 2.0 m ± 0.2 m, how should you report the value for $\sqrt{AB}$?

  • 1.41 m ± 0.15 m (correct)
  • 1.4 m ± 0.4 m
  • 1.4 m ± 0.2 m
  • 1.4 m ± 0.3 m

The dimensional formula for latent heat is:

  • [M^{0}L^{2}T^{-2}] (correct)
  • [M^{1}L^{2}T^{-2}]
  • [M^{1}L^{1}T^{-2}]
  • [M^{0}L^{0}T^{-2}]

What are the dimensions of the coefficient of self-inductance?

  • [MLT^{-2}A^{-2}]
  • [ML^{2}T^{-2}A^{-2}] (correct)
  • [MLT^{-2}A^{-1}]
  • [ML^{2}T^{-2}A^{-1}]

A particle moves in a straight line with its position, $x$, given by $x = t^3 - 6t^2 + 20t + 15$. What is the velocity of the particle when its acceleration is zero?

<p>8 m/s (B)</p> Signup and view all the answers

A particle starts from rest and moves with an acceleration of $\frac{4}{3} \text{ ms}^{-2}$. What is the distance traveled by the particle in the third second?

<p>$\frac{10}{3}$ m (C)</p> Signup and view all the answers

A projectile is launched with a velocity of 40 m/s at an angle $\theta$ with the horizontal. If $R$ is the horizontal range and after $t$ seconds the inclination with the horizontal becomes zero, what is the value of $\cot \theta$?

<p>$\frac{R}{20t^2}$ (D)</p> Signup and view all the answers

A rigid body rotates about a fixed axis with variable angular velocity $\omega = \alpha - \beta t$ at time $t$, where $\alpha$ and $\beta$ are constants. What is the angle through which it rotates before it stops?

<p>$\frac{\alpha^2}{2\beta}$ (B)</p> Signup and view all the answers

The range of a projectile projected at an angle of 15° with the horizontal is 50 m. If the projectile is projected with the same velocity at an angle of 45°, what will its range be?

<p>100 m (C)</p> Signup and view all the answers

A particle of mass $m$ is projected with a velocity $u$ at an angle of 30° with the horizontal. What is the magnitude of the angular momentum of the projectile about the point of projection when the particle is at its maximum height?

<p>$\frac{\sqrt{3}mu^3}{16g}$ (A)</p> Signup and view all the answers

A body is thrown with a velocity of 9.8 m/s making an angle of 30° with the horizontal. After what time will it hit the ground?

<p>1.0 s (B)</p> Signup and view all the answers

A light string passing over a smooth light pulley connects two blocks of masses $m_1$ and $m_2$ (where $m_2 > m_1$). If the acceleration of the system is $\frac{g}{\sqrt{2}}$, what is the ratio $\frac{m_1}{m_2}$?

<p>$\frac{\sqrt{2}-1}{\sqrt{2}+1}$ (D)</p> Signup and view all the answers

A block of mass 1 kg is pushed up a surface inclined to the horizontal at an angle of 60° by a force of 10 N parallel to the inclined surface. When the block is pushed up by 10 m along the inclined surface, what is the work done against the frictional force?

<p>5$\sqrt{3}$ J (C)</p> Signup and view all the answers

A force of $F = 0.5$ N is applied to the lower block as shown in the figure. What is the work done by the lower block on the upper block for a displacement of 3 m of the upper block with respect to the ground? Assume a coefficient of friction $\mu = 0.1$ and $g = 10 m/s^2$.

<p>-0.5 J (D)</p> Signup and view all the answers

A pendulum of mass 1 kg and length $l = 1$ m is released from rest at an angle $\theta = 60°$. What is the power delivered by all the forces acting on the bob at angle $\theta = 30°$? (Take $g = 10 m/s^2$).

<p>13.4 W (D)</p> Signup and view all the answers

An ideal massless spring $S$ can be compressed 1 m by a force of 100 N in equilibrium. The same spring is placed at the bottom of a frictionless inclined plane inclined at 30° to the horizontal. A 10 kg block $M$ is released from rest at the top of the incline and brought to rest momentarily after compressing the spring by 2 m. What is the speed of the mass just before it touches the spring? Assume $g = 10 m/s^2$.

<p>$\sqrt{20}$ m/s (C)</p> Signup and view all the answers

A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m, and finally rolls down to a horizontal base at a height of 20 m above the ground. What is the velocity attained by the ball?

<p>10$\sqrt{30}$ m/s (A)</p> Signup and view all the answers

A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6 m. The height of the table from the ground is 0.8 m. If the angular speed of the particle is 12 rad/s, what is the magnitude of its angular momentum about a point on the ground directly under the center of the circle?

<p>20.16 kg m²s⁻¹ (A)</p> Signup and view all the answers

A ball falling freely from a height of 4.9 m hits a horizontal surface. If $e = \frac{3}{4}$, after what time will the ball hit the surface the second time?

<p>1.5 s (B)</p> Signup and view all the answers

Two bodies of mass 1 kg and 3 kg have position vectors $\hat{i} + 2\hat{j} + \hat{k}$ and $-3\hat{i} - 2\hat{j} + \hat{k}$ respectively. The magnitude of the position vector of the center of mass of this system will be similar to the magnitude of which vector?

<p>$-2\hat{i} - \hat{j} + 2\hat{k}$ (B)</p> Signup and view all the answers

What is the moment of inertia of a cube of mass $m$ and side $a$ about one of its edges?

<p>$\frac{2}{3}ma^2$ (D)</p> Signup and view all the answers

A body which is initially at rest at a height $h = R$ above the surface of the Earth of radius $R$, falls freely towards the Earth. What is the velocity on reaching the surface of the Earth?

<p>$\sqrt{gR}$ (B)</p> Signup and view all the answers

The distance between the Sun and Earth is $R$. What would be the duration of a year if the distance between the Sun and Earth becomes 3$R$?

<p>3$\sqrt{3}$ years (A)</p> Signup and view all the answers

For a particle inside a uniform spherical shell, what is the gravitational force on the particle?

<p>Zero (B)</p> Signup and view all the answers

The kinetic energy of a satellite in its orbit around Earth is $E$. What should be the kinetic energy of the satellite to escape Earth's gravity?

<p>2E (D)</p> Signup and view all the answers

Two wires of the same material (Young's modulus $Y$) and same length $L$ but radii $R$ and $2R$ respectively, are joined end to end and a weight $W$ is suspended from the combination. What is the elastic potential energy in the system?

<p>$\frac{5W^2L}{8\pi R^2Y}$ (C)</p> Signup and view all the answers

What happens to the Young's modulus of elasticity with a rise in temperature?

<p>Decreases (A)</p> Signup and view all the answers

Young's modulus of a material of a wire of length $'L'$ and cross-sectional area $A$ is $Y$. If the length of the wire is doubled and the cross-sectional area is halved, what will the Young's modulus be?

<p>$Y$ (C)</p> Signup and view all the answers

The pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. What is the ratio of their volumes?

<p>8:1 (C)</p> Signup and view all the answers

A cube of ice floats partly in water and partly in kerosene oil. What is the ratio of the volume of ice immersed in water to that in kerosene oil, given that the specific gravity of kerosene oil is 0.8 and the specific gravity of ice is 0.9?

<p>1:1 (A)</p> Signup and view all the answers

Flashcards

BITSAT Marking Scheme

Each correct answer awards 3 marks, and 1 mark is deducted for each incorrect answer

BITSAT Physics Subjects

Mechanics, Electromagnetism, Thermodynamics, Modern Physics

BITSAT Chemistry Subjects

Organic, Inorganic, and Physical Chemistry

BITSAT Math Subjects

(or Biology for B.Pharm candidates): Calculus, Algebra, Geometry

Signup and view all the flashcards

BITSAT English

Reading Comprehension, Vocabulary

Signup and view all the flashcards

BITSAT Logical Reasoning

Analytical and Problem-solving skills

Signup and view all the flashcards

BITSAT Exam Sections

The exam consists of four parts, each with a specific subject and number of questions: Physics (30), Chemistry (30), English (10) and Logical Reasoning (20), Mathematics OR Biology (40)

Signup and view all the flashcards

BITSAT Mode

Computer-based online test

Signup and view all the flashcards

BITSAT Duration

3 hours (180 minutes)

Signup and view all the flashcards

BITSAT Total Marks

390

Signup and view all the flashcards

Coefficient of Volume Expansion (α)

Ratio of change in volume to original volume for 1°C change

Signup and view all the flashcards

Young's Modulus of Elasticity

Property of a material to resist deformation

Signup and view all the flashcards

Longitudinal Strain

Ratio of change in length to original length.

Signup and view all the flashcards

Coefficient of Viscosity

Measure of internal friction in a fluid.

Signup and view all the flashcards

Latent Heat

Energy required to change a substance's phase.

Signup and view all the flashcards

Moment of Inertia

Tendency of an object to resist changes in its rotational state

Signup and view all the flashcards

Center of Mass

The point where resultant torque is zero.

Signup and view all the flashcards

Gibbs Free Energy

The total energy of a system that can do work.

Signup and view all the flashcards

Excitation energy

Energy required to remove a proton

Signup and view all the flashcards

RMS speed

The speed of gas molecule

Signup and view all the flashcards

Adiabatic condition

Heat exchange in the atmosphere

Signup and view all the flashcards

Excitation energy

Minimum energy molecule can have

Signup and view all the flashcards

Excitation energy

Minimum energy molecule can have

Signup and view all the flashcards

Nitrogen Oxide

Can damage plats at high altitude in the atmosphere.

Signup and view all the flashcards

Study Notes

  • This document is a BITSAT 2024 question paper.
  • The exam allots 3 hours
  • There are 130 questions
  • The maximum score is 390 marks

General Instructions For The BITSAT 2024 Exam

  • Read the instructions carefully and follow them strictly.
  • The exam is a computer-based online test.
  • The duration of the exam is 3 hours (180 minutes).
  • There are four sections in the exam.
    • Part I: Physics (30 questions)
    • Part II: Chemistry (30 questions)
    • Part III: English Proficiency (10 questions) and Logical Reasoning (20 questions)
    • Part IV: Mathematics (40 questions) or Biology (for B.Pharm candidates)
  • The total marks for the exam are 390.
  • Each correct answer awards 3 marks.
  • 1 mark is deducted for each incorrect answer.
  • The subjects covered in the exam are:
    • Physics: Mechanics, Electromagnetism, Thermodynamics, Modern Physics
    • Chemistry: Organic, Inorganic, and Physical Chemistry
    • Mathematics: Calculus, Algebra, Geometry (or Biology for B.Pharm candidates)
    • English Proficiency: Reading Comprehension, Vocabulary
    • Logical Reasoning: Analytical and Problem-solving skills

Physics - Example Questions

  • If A = 1.0 m ± 0.2 m and B = 2.0 m ± 0.2 m, the value for √AB should be reported as 1.4 m ± 0.2 m
  • The dimensional formula for latent heat is [M⁰L²T⁻²].
  • The dimensions of the coefficient of self-inductance are [ML²T⁻²A⁻²].
  • For a particle moving in a straight line with position x = t³ − 6t² + 20t + 15, the velocity when acceleration is zero is 8 m/s.
  • A particle starting from rest with acceleration 4/3 ms⁻² travels 19/3 m in the third second.
  • For a projectile launched at 40 m/s, the value of cot θ after t seconds, when its inclination becomes zero, is R/10t², where R is the horizontal range.
  • A rigid body rotates with angular velocity ω = α − βt; the angle it rotates through before stopping is α²/2β.
  • For a projectile with a range of 50 m at a 15° launch angle, the range at a 45° angle with the same initial velocity is 100 m.
  • For a particle of mass m projected at velocity u at 30°, the angular momentum at its maximum height h is (√3/16)(mu³/g).

More Physics Questions

  • For a body thrown at 9.8 m/s at an angle of 30°, the time until it hits the ground is 1.0 s.
  • If two blocks of masses m1 and m2 (m2 > m1) connected by a string over a pulley have an acceleration of g/√2, then m1/m2 = (√2-1)/(√2+1).
  • For a 1 kg block pushed up a 60° incline with a 10 N force, the work done against friction over 10 m is 5√3 J, given µs = 0.1.
  • If within a lift of mass 940 kg including a person of 60 kg begins moving upwards with an acceleration of 1.0 m/s² and gravity is 10 m/s², the tension in the supporting cable is 11000 N.
  • For a F = 0.5 N force on a lower block, the work done by the lower block on the upper block for a 3 m displacement is -0.5 J, given g = 10 m/s².
  • A pendulum (mass 1 kg, length 1 m) released from rest at 60° will have zero power delivered at instantaneous angle 30°.
  • With a spring, the mass speed just before touching the spring is √40 m/s.
  • A 20 kg spherical ball has a velocity of 10√30 m/s.
  • A particle of mass 2 kg moving at 12 rad/s has an angular momentum of 20.16 kg m2 s-1.
  • A ball falling from 4.9 m hits a surface the second time after 1.5 s, with e = ¾.
  • The magnitude of the position vector of the center of mass of this system will be similar to the magnitude of vector -2î - ĵ + 2k̂.
  • The moment of inertia for a cube is ¾ ma².
  • Velocity on reaching surface of earth, √gR .
  • The distance between the sun and earth becomes 3R and lasts √3 years.
  • The gravitational force on the particle is zero
  • To escape kinetic energy of the satellite should be doubled: 2E

Physics

  • For two wires combined with radii R and 2R respectively gives an elastic potential energy in the system is 3W²L/8πR²Y
  • Young’s modulus of elasticity decreases when temperature increases.
  • Then young's modulus module will be Y
  • 1.01, 1.02 Ratio of its volume is 8:1
  • Volume of ice immersed in water vs kerosene oil has a ratio of 8:9
  • The cube volume increases by 1.2x10^5 cm³
  • The heat require will be ¾ P₀V₀
  • If path ADB is used, the heat flow into the system's is 40J
  • increases by 800w
  • increase in temperature on Fahrenheit scale 72°F
  • velocity of sound in the gas :
  • The RMS speed of the gas at 800 K will be: 2v₀
  • is 16
  • oscillation in the vertical configurations are in the ratio 1/√2 : √2 : 1/ √2
  • The time period on its return is zero

Physics formulas

  • A conducting wire will be increased by 1.6%
  • Find a new Wire of the will be 402
  • Five cells each of EMF and Internal resistance or is the same amount of current
  • magnetic field
  • In a magnetic field is changing at a rate of 50 × 10-⁶ T/s
  • In a rectangular loop

Chemistry - Example instructions

  • A 1 L closed flask containing 4 g of methane and 4.4 g of carbon dioxide has a pressure of 6.1 atm at 27°C.
  • Molality is a mode of expression where the concentration of a solution remains independent of temperature.
  • A hydrogen atom has a degeneracy of 9 at 9Rg energy, with RH = Rydberg constant
  • value in terms of mass √
  • The first orbit of Li²⁺ ion - 1.962 x 10⁻¹⁸
  • A photon - (a) 4.0 ev
  • The value of /sqrt2MeV
  • 0 changes into 0-
  • is are 1.71, 1.40 and 1.36
  • Intramolecular
  • includes a d-orbital contribution in

More Chemistry Questions

  • Magnetic moment is 3.
  • For the spin use 5
  • Pair for repellents, the following.
  • forms from one
  • the following.
  • Not displayed by or hybridization
  • cyclic process
  • XY be 400
  • A is not relationship correct
  • Standard Gibbs to produce 10(10) to the 12th power.
  • To free an ideal gas,
  • all principles don't apply
  • Reaction CO(0) + (8.8)02(0) CO2(0) to 1.0. A=1
  • Order follows

Other Chemistry Questions

  • Volume of 8.0 mL in the medium,
  • Redox but not the one
  • statements are:
  • in the ones

Term Meanings

— A - is hydrogen bonding

  • formula and I is chromium and a
  • are:
  • in the following which
  • in the circuit identify the logic gate by
  • The operation in the circuit is called

Math Equation Study Notes

  • The roots or formula equals zero.
  • Equation equals zero as following
  • roots
  • The complex formula is in the plane
  • The vertex and the triangle formulas
  • vertex - the triangle is:
  • colinear
  • The complex
  • that have a
  • root

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Java Collections Framework Quiz
30 questions
Use Quizgecko on...
Browser
Browser