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Class XI Physics Chapter wise Revision Test – Gravitation and Waves






Questions 1 to 5 carries one mark each

Questions 5 to 10 carries 2 marks each

Questions 10 to 15 carries 3 marks each

Questions 16 and 17 carries 5 marks each


  1. What are mechanical waves?
  2. The time period of a vibrating source producing sound is 0.01 s. If the velocity of sound is 340 ms -1 calculate wave length
  3. State the principle of superposition of waves
  4. Why is gravitational potential energy negative?
  5. What is geosynchronous satellite?
  6. Derive a relation between wave velocity, frequency and wavelength
  7. What are transverse and longitudinal wave motions? Give an example for each type
  8. What is the effect of pressure on the speed of sound? Justify your answer.
  9. What is a progressive wave? Write an expression which represents a progressive wave.
  10. State the conditions necessary for a satellite to appear stationary.
  11. Define orbital velocity. Derive an expression for it.
  12. Define acceleration due to gravity. Show that the value of ‘g’  decreases with altitude or height
  13. State the laws of vibrations of stretched strings.
  14. Derive an expression for the escape velocity of a satellite projected from the surface of the earth.
  15. What is the maximum value of potential energy that can be possessed by a heavenly body? Give the general expression for potential energy of an object  near the surface of earth
  16. State Kepler’s law of planetary motion. Deduce Newton’s law of gravitation from Kepler’s law.
  17. (a)What is Doppler Effect?  (b) Derive an expression for the apparent frequency when a source moves towards a stationary observer.  (c) A policeman on duty detects a drop of 15% in the pitch of the horn of a motor car as it crosses him. Calculate the speed of car, if the velocity of sound is 330 m/s


Class XI Physics Revision Tests – Thermodynamics



Max marks 35

Time 1 ½ hrs

Questions 1 to 5: 1 mark  each

Questions 6 to 10: 2 marks each

Questions 11 to 15: 3 marks each

Question 16: 5 marks

  1. What is an isochoric process?
  2. On what factors does the efficiency of a Carnot engine depend?
  3. State second law of thermodynamics. (Any one statement)
  4. State zeroth law of thermodynamics.
  5. What is a heat engine?
  6. State first law of thermodynamics and apply it to an isothermal process.
  7. Explain why a balloon is cooler after it bursts.
  8. What is a PV diagram? What does the area between the PV curve and the volume axis signify?
  9. State the conditions for two bodies to be in thermal equilibrium.
  10. State Carnot’s theorem and explain its significance.
  11. What is a cyclic process? Show that the work done in a cyclic process is equal to the area enclosed by the loop representing the cyclic process.
  12. Why gases have two principal specific heat capacities? Define them
  13. Why Cp > Cv? Prove that Cp – Cv = R
  14. Define the coefficient of performance of a heat pump. (refrigerator) and obtain a relation for it in terms of temperature T1 and T2
  15. A sample of gas (γ = 1.5) is compressed adiabatically from a volume of 1600 cm3 to 400 cm3.  If the initial pressure is 150 kPa, what is the final pressure and how much work is done on the gas in the process?
  16. Explain the construction and various operations involved in a Carnot’s heat engine with neat labeled diagram. Draw Carnot’s cycle and write expression for efficiency of a Carnot’s heat engine.



Alternating Current Circuits and EM Waves Test Paper (KV Pattom)

Download the test paper from Alternating Current and Electromagnetic Waves (Class XII Physics)

AC & EM Waves Test Paper

Optional Proficiency Test for Class-X

CBSE is conducting an optional proficiency test in all the five main subjects from next year.

The proposed Proficiency Test is being conducted with the broad objectives of :

  • acting as a benchmark in testing of skills and higher mental abilities of students
  • providing motivation to students for academic excellence in the respective subject
  • providing feedback to students and parents on how well the students have achieved the desired learning objectives.
  • providing feedback to schools on levels of learning of their students and setting
  • goals, priorities and targets in their future educational plan.


Some of the specific objectives of the proposed test include assessing students;

  • abilities and skills to apply concepts and principles of the subject to everyday life situations.
  • abilities to apply understanding of concepts to interpret data, diagrams, maps, graph etc.
  • skills to create and devise methods for solving subject related problems.
  • abilities to analyse, synthesise and evaluate a given situation on the basis of learning in the subject.


What is a Proficiency Test?
A proficiency Test measures an individual’s abilities and skills in a domain or subject to know how well he/she has learned, understood and internalised the related concepts and principles. Such a test in language e.g may assess a student’s skills in reading, writing, listening, speaking or vocabulary. Similarly a test in Science may focus on assessing students’ abilities to apply concepts and principles to analyse a given situation, solve a given problem and conduct practical work efficiently. A test in Mathematics may similarly assess problem solving abilities and skills of mathematical thinking, mathematical reasoning and procedural techniques followed by students. Thus, the proposed Proficiency Test will mainly focus on assessing students’ abilities and skills to apply knowledge and understanding of any subject to new and unfamiliar everyday life situations.
The core testing element of such a test will include observing, comparing, classifying, solving, translating, interpreting, analyzing, synthesising, creating, composing, deducing, justifying and judging/evaluating.

General Features of the Test
It will be optional in nature. Only those students who wish to take this test willingly may appear.
There will be separate test in each of the five main subjects viz English, Hindi, Social Science, Mathematics and Science.
A student may appear in one or more subject (s) according to his/her choice. One test will be held on a single day.
It will be a paper-pen test to be administered on the same day across all willing schools in the country.
The proposed test is likely to be conducted in the month of May/June next year (2011).

Students wishing to appear in the test will have to pay separate examination fee for the same. This fee is likely to be in the range of Rs.500/- to Rs.1000/- for all the subjects. The schools will be informed about the exact amount of fee and its submission mode at a later stage.
Any student studying in Secondary or Senior secondary school affiliated to CBSE and has appeared in Class-X final examination (School conducted or Board conducted ) is eligible for this test.
Students appearing in the test will be issued a joint certificate by CBSE and the collaborating agency indicating percentile rank.
Design of the Question Paper
The duration of the test in every subject will be 2½ hours.
Question paper in every subject will carry 100 marks
All questions will be of multiple choice type with only single correct answer.
The test will be based on classes IX-X syllabus in the subject prescribed by CBSE

The typology of questions will be different from the type of questions asked in conventional final examination conducted by the Board at the end of Class-X. The test will not include any direct recall, information-based or memory –based questions. It will only include questions to assess students’ skills and abilities to apply understanding of concepts to analyse a given situation or an unfamiliar
everyday life problem.
The total number of questions may vary from one subject to another.
The questions included in the question paper will be of varying difficulty level.
Negative marks will be awarded for wrong answers

Numericals from Kinematics


  1. A particle is projected at 60º to the horizontal with a kinetic energy K. What is the kinetic energy at the highest point
  2. Which of the following statements is false for a particle moving in a circle with a constant angular speed?
    (a) the velocity vector is tangent to the circle
    (b) the acceleration vector is tangent to the circle
    (c) the acceleration vector points to the centre of the circle
    (d) the velocity and acceleration vectors are perpendicular to each other
  3. A car is moving in a circular horizontal track of radius 10.0 m with a constant speed of 10.0m/s.A plumb bomb is suspended from the roof of the car by a light rigid rod of length1.00m. What is the angle made by the rod with the track is (g= 10 m/s²)
  4. The distance traveled by an object along the axes are given by x=2t², y = t² – 4, z = 3 t – 5. What is the initial velocity of the particle
  5. A boy playing o the roof of 10m high building throws a ball with a speed of 10 m/s at an angle of 30º the horizontal. How far from the throwing point will the ball be at the height of 10m from the ground?
  6. If a body travels half of its path in the last second of its fall from rest; find the time and height of its fall?
  7. An object A is kept fixed at the point x = 3m and y=1.25m on a moving along the +x direction with an acceleration 1.5 m/s. At the same instant a stone hitting the object during its downward motion at an angle pf 45º to the horizontal .all the motions are in X-Y plane .Find u and time after which stone hits the object. Take g = 10m/s²
  8. Three particles a, b and c are situated at the vertices of an equilateral triangle ABC of side d at t=0. Each of the particles moves with constant speed v. A always has its velocity along BC and C along CA. At what time will the particles meet each other?
  9. A man standing on road has to hold his umbrella at 30º with the vertical to keep the rain away he throws the umbrella and starts running at 10 km/h. he finds that  raindrops with respect to [a]the road, [b] the moving man.

10. A man can swim at speed of 3 km/h in still water. He wants to cross a 500 m wide river flowing at 2 km/h. he keeps himself always at an angle of 120º with the river flow while swimming. (a) Find the time he takes to cross river. (b) At what point on the opposite bank will he arrive?

11. A staircase contains three steps each 10cm high and 20 cm wide what should be the minimum horizontal velocity of a ball rolling off  the uppermost plane so as to hit directly the lowest plane?

12. A person is standing on a truck moving with a constant velocity of 14.7 m/s on a horizontal road .The man throws a ball in such a way that it returns to the truck after the truck has moved 58.8 m .find speed and the angle of projections
(a) as seen from the truck, (b) as seen from the road

13. An airplane has to go from a point A to another point B, 500 km away due 30º east of
north. a wind is blowing due north at a speed of 20 m/s (a) find the direction in which the pilot should head the plane to reach the time taken by the plane to go from A to B




1. What orientation of an electric dipole in a uniform electric field corresponds to its stable equilibrium?

2. What is the area of the plates of a parallel plate capacitor of capacitance 2F and with separation between plates 0.5 cm?

3. What is the work done in carrying a point charge 10 nC between two points separated by a distance 5 cm on an equipotential surface?

4. A parallel plate capacitor is made by stacking ‘n’ equally spaced plates connected alternatively. If the capacitance between any two plates is ‘C’, determine the resultant capacitance of the combination

5. Calculate the coulomb force between two a particles separated by a distance of 3.2 x 10-15 m

6. Draw graph showing variation of electric field with distance for a uniformly charged metallic sphere.

7. An electron and proton are free to move in an electric field. Which one will have greater acceleration? Why?

8. Sketch two equipotential surfaces for (a) a point charge. (b) between two plane sheets of charge.

9. Show that the work done in rotating an electric dipole of dipole moment p in a uniform electric field E by an angle θ from the equilibrium postition W = PE(1-cos θ)

10. The given graph shows the variation of charge ‘q’ verses potential difference for two capacitors C1 and C2 .The capacitors have same plate separation, but the plate area of C2 is double that of C1.Identify the line in the graph corresponding to C1 & C2 and why?

11. Derive an expression for the torque acting on an electric dipole placed in a uniform electric field.

12. Derive an expression for the capacitance of a parallel plate capacitor.

13. You are given three capacitors of value 2μF, 3μF, 6μF. How will you connect them to a resultant capacity of 4μF?

14. Two equally charged identical metal spheres A and B repel each other with a force of 2·0 x 10-5 N. Another identical uncharged sphere C is touched to A and then placed at the mid point between A and B. What is the net force on C?

15. A dielectric slab of thickness t introduced between the plates of a parallel plate capacitor separated by a distance d. (t < d). Derive an expression for the capacitance of the capacitor

16. Describe the principle construction and working of a Van de graff Generator with the help of a neat labeled diagram.

17. Use Gauss theorem to derive an expression for the electric field at a point due to

a. an infinite plane sheet of charge of uniform charge density σ

b. a thin infinitely long straight line  of charge of uniform charge density λ


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