Physics Exam: 11th Grade
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Questions and Answers

Which of the following position-time graphs correctly represents a body in uniform motion?

  • Graph C
  • Graph B (correct)
  • Graph A
  • Graph D

What is the dimensional formula for the Gravitational constant?

  • $M^{-1}L^{1}T^{-2}$
  • $M^{-1}L^{3}T^{-2}$ (correct)
  • $MLT$
  • $M^{-1}L^{-1}T^{-1}$

A particle in circular motion about the origin sweeps out equal areas in equal times. Which quantity remains constant?

  • Speed (correct)
  • Acceleration
  • Tangential Acceleration
  • Velocity

The work done by an external force on a system equals the change in which of the following?

<p>Total Energy (C)</p> Signup and view all the answers

A 2.0 kg block slides on a frictionless surface with a constant speed of 3.0 m/s. It then encounters a rough patch with a coefficient of kinetic friction of 0.25, and slows down. What is the work done by friction as the block slows to 1.0 m/s?

<p>-8.0 J (C)</p> Signup and view all the answers

Where is the center of mass of the Earth-Moon system located?

<p>Close to the Earth. (C)</p> Signup and view all the answers

At which location on Earth is the value of gravitational acceleration (g) the highest?

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

In the relation $E = \sigma T^4$, what does '$\sigma$' represent?

<p>Stefan's constant (B)</p> Signup and view all the answers

What condition is necessary for a heat engine to achieve 100% efficiency?

<p>The sink should be at 0 K. (C)</p> Signup and view all the answers

If the volume of a gas is increased by a factor of 4, which of the following must be true?

<p>At constant pressure, the temperature must be increased four times. (C)</p> Signup and view all the answers

At what position(s) is the potential energy of a simple pendulum maximum?

<p>Extreme position (D)</p> Signup and view all the answers

Which of the following readings is the most accurate?

<p><code>7 x 10^3 m</code> (B)</p> Signup and view all the answers

A force of 3000 dyne acts on a mass of 300g for 10 seconds. What is the kinetic energy of the body in ergs after 10 seconds, assuming it starts from rest and moves in one dimension?

<p>$1.5 \times 10^6$ ergs (D)</p> Signup and view all the answers

A car moving at 126 km/h is brought to rest within 200 m with uniform retardation. What is the retardation of the car?

<p>12.25 m/s² (C)</p> Signup and view all the answers

A car moving at 126 km/h is brought to rest within 200 m with uniform retardation. How long does it take for the car to stop?

<p>5.71 s (D)</p> Signup and view all the answers

What is the angle of banking required for a smooth curved road of radius 100 m to allow a vehicle to safely travel at a speed of 108 km/hr?

<p>$arctan(0.918)$ (C)</p> Signup and view all the answers

A pump on the ground floor of a building can pump water to fill a tank of volume 30 m³ in 15 minutes. If the tank is 40 m above the ground and the pump's efficiency is 30%, how much electric power is consumed by the pump?

<p>43.56 kW (D)</p> Signup and view all the answers

Which of the following statements accurately describes the relationship between angular momentum and external torque?

<p>External torque causes a change in angular momentum. (B)</p> Signup and view all the answers

Which of Kepler's laws describes the relationship between the period of a planet's orbit and its average distance from the star?

<p>Kepler's Third Law (Law of Periods) (A)</p> Signup and view all the answers

Which of the following is NOT a limitation of Bernoulli's Theorem?

<p>It is applicable for viscous fluids (D)</p> Signup and view all the answers

What significance does the second law of thermodynamics hold in natural processes?

<p>It defines the direction in which processes naturally occur. (D)</p> Signup and view all the answers

Flashcards

Position-Time Graph (Uniform Motion)

A graph showing position vs. time for an object moving with constant velocity; it's a straight line.

Gravitational Constant (G) Dimensions

M⁻¹L³T⁻²

Speed in Uniform Circular Motion

The rate at which a particle covers distance along its circular path.

Work Done by External Force

The change in kinetic energy of the system.

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Centre of Mass

Location around which the mass of a system is equally distributed.

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Maximum 'g' Location

The acceleration due to gravity is greatest at the Earth's poles because they are closer to the Earth's center.

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Stefan's Constant

A fundamental constant relating energy emitted by a black body to its temperature.

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100% Efficient Engine

A theoretical engine that would convert all heat energy into work (not possible in reality).

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Newton to Dyne Conversion

Force in dynes required to accelerate a mass of one gram at a rate of one centimeter per second squared.

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Kinetic Energy

Energy an object possesses due to its motion, calculated as 1/2 * mass * velocity^2.

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Angular Momentum

Measure of an object's resistance to changes in its rotation, conserved when no external torque acts.

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Root Mean Square Velocity

The measure of average molecular speed.

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Time Period (Pendulum)

The time for one complete oscillation of a simple pendulum.

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Newton's First Law

Newton's first law: An object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction unless acted upon by a force.

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Newton's Second Law

Newton's second law: Force equals mass times acceleration (F=ma).

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Newton's Third Law

Newton's third law: For every action, there is an equal and opposite reaction.

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Conservation of Angular Momentum

Angular momentum is conserved in a closed system, meaning the total angular momentum remains constant if no external torque acts on the system.

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Kepler's First Law

Planets move in elliptical orbits with the Sun at one focus.

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Kepler's Second Law

A line joining a planet and the Sun sweeps out equal areas during equal intervals of time.

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Kepler's Third Law

The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit (T^2 ∝ a^3).

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Study Notes

  • The physics exam is for Class 11th.
  • The exam duration is 3 hours.
  • The maximum marks for the exam are 70.
  • All questions are compulsory.

Exam Sections

  • Section A has 10 very short answer questions, each worth 1 mark (1x10 = 10 marks).
  • Section B contains 9 very short answer questions, each worth 2 marks, to be answered in 20-30 words (2x9 = 18 marks).
  • Section C contains 9 short answer questions, each worth 3 marks, to be answered in 50-70 words (3x9 = 27 marks).
  • Section D contains 3 long answer questions, each worth 5 marks, to be answered in 100-150 words (5x3 = 15 marks).
  • Use of log tables is allowed if necessary.
  • Use of scientific calculators is not allowed.

Section A Topics

  • Position-time graph for a body in uniform motion.
  • Dimensional formula for the gravitational constant.
  • The position vector of a particle in circular motion sweeps out equal area in equal time.
  • Work done by an external force on a system equals the change in total energy.
  • Center of mass of the Earth-Moon system's location.
  • Value of g (acceleration due to gravity) is maximum at the poles.
  • In the relation E = 6T⁴, "6" is called Stefan's constant.
  • For a heat engine to have 100% efficiency, the temperature of the sink must be 0°K.
  • If the volume of a gas is increased by 4 times, at constant pressure, the temperature must be increased four times.
  • Potential energy of a simple pendulum is maximum at the extreme position.

Section B Topics

  • Determining the most accurate measurement among given options.
  • Using dimensional analysis to convert 1 Newton into dyne.
  • Calculating the kinetic energy of a body after 10 seconds, given a force of 3000 dyne acting on a mass of 300 g for 10 seconds.
  • Explanation of why angular momentum is conserved in the rotation of an electron around the nucleus and planets around the Sun.
  • Determining the potential energy of an artificial satellite moving in a circular orbit around the Earth, given its total energy E.
  • Stating the second law of thermodynamics.
  • Finding the root mean square velocity of smoke particles in Brownian motion at N.T.P.
  • Calculating the speed of the transverse wave in a steel wire under tension.

Section C Topics

  • Deriving the relationship for the time period of a simple pendulum.
  • Calculating the retardation of a car brought to rest and the time it takes to stop.
  • Calculating the angle of banking for a curved road to safely travel a vehicle.
  • Stating Newton's three laws of motion.
  • Calculating the electric power consumed by a pump to fill a tank.
  • Stating the law of conservation of angular momentum.
  • Stating and explaining Kepler's three laws of planetary motion.
  • Discussing the three limitations of Bernoulli's Theorem.
  • Importance of the second law of thermodynamics.
  • Writing the postulates of the kinetic theory of gases.

Section D Topics

  • Defining projectile motion and derive expressions for max height, time of flight and horizontal range.
  • Finding the time and height of a body's fall if it travels half its path in the last second, starting from rest.
  • Defining Young's modulus of elasticity, its units, and how to measure it experimentally.
  • Explaining Wein's displacement law and its applications.
  • Deriving the expression for average kinetic energy of a particle executing Simple Harmonic Motion.
  • Defining what wave motion is and describing the characteristics of wave motion.

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Description

Physics exam for 11th-grade students. The exam includes multiple sections with varying question types and marks. Topics range from motion graphs and dimensional formulas to energy and thermodynamics.

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