KTG & Oscillation
16 August 2021
Test Instructions:
- This Mock test contains 30 MCQ questions of 15 questions each chapter.
- Choice and sequence for attempting questions will be as per the convenience of the candidate.
- Read each question carefully.
- Determine the one correct answer out of the four available options given for each question.
- Each question awards you 1 point for each question.
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17 August (Tomorrow) –Physics ( Thermodynamics & Superpositions )Chemistry ( Electrochemistry & Chemical Kinetics)Biology ( Inheritance and Variation & Origin and Evolution of Life )Mathematics ( Pair of Straight Lines & Lines and Planes )
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Question 1 of 30
1. Question
1 point(s)Which of the following is simple harmonic function ?
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Question 2 of 30
2. Question
1 point(s)Which of the following is not simple harmonic function ?
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Question 3 of 30
3. Question
1 point(s)Two particles are executing SHM of same amplitude and frequency along the same straight line path. They pass each other when going in opposite directions, each time their displacement is half of their amplitude. What is the phase difference between them ?
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Question 4 of 30
4. Question
1 point(s)A particle of mass 100 g is executing SHM with amplitude of 10 cm. When the particle passes through the mean position at t = 0 its kinetic energy is 8 mJ. What is the equation of simple harmonic motion if initial phase is zero ?
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Question 5 of 30
5. Question
1 point(s)A mass m is attached to a rigid support and oscillates in vertical plane. The mean position of the mass is at a distance y from the point of suspension. If the spring oscillates in the horizontal plane, the mean position’ of mass is at a distance x from the mean position. What is the time period of oscillations in case of vertical oscillations ?
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Question 6 of 30
6. Question
1 point(s)The time period of a SHM is 16 seconds. It starts its motion from the equilibrium position. After two seconds its velocity is ⎍ m/s. What is its displacement amplitude ?
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Question 7 of 30
7. Question
1 point(s)Two pendulums of lengths l metre and 16 metres start vibrating one behind the other on the same stand with the same amplitude. At t = 0 both are at mean position and in the same phase. After, what minimum time will they again be one behind the other and in the same phase ? Given that the time period of shorter pendulum is T.
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Question 8 of 30
8. Question
1 point(s)The angular frequency and amplitude of a simple pendulum are ⍵ and A respectively. At the displacement y from the mean position, the kinetic energy is K and potential energy is U. What is the ratio K/ U ?
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Question 9 of 30
9. Question
1 point(s)A simple pendulum of length l has maximum 15. angular displacement θ. The kinetic energy of the pendulum at the mean position will be :
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Question 10 of 30
10. Question
1 point(s)The variation of the potential energy of a harmonic oscillator is as shown in the figure below.
What is the force constant of the oscillator if amplitude of oscillations is 20 mm ?
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Question 11 of 30
11. Question
1 point(s)The bob of a simple pendulum is replaced by a magnet. The oscillations are set along length of the magnet. If a copper coil is now added so that one pole of the magnet passes in and out of it, and the coil is short-circuited, the effect will be :
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Question 12 of 30
12. Question
1 point(s)Two small balls P and Q are suspended from inextensible strings of equal lengths ‘l‘ each. The ball P is raised up to the suspension point. The ball Q with a taught spring is displaced by a small amount so that its oscillation may be regarded as simple harmonic. They are let go simultaneously. The ratio of their time period will be :
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Question 13 of 30
13. Question
1 point(s)In the above question what is the value of total energy of the oscillator ?
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Question 14 of 30
14. Question
1 point(s)What is the relation between particle velocity (v), the wave velocity (c) and the slope (S) of the wave ?
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Question 15 of 30
15. Question
1 point(s)In question 13, what is the maximum value of kinetic energy of the oscillator ?
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Question 16 of 30
16. Question
1 point(s)With same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways the work done by gas is W1, if the process is isothermal, W2 if isobaric and W3 if adiabatic, then
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Question 17 of 30
17. Question
1 point(s)To what temperature should the hydrogen at 327ºC be cooled at constant pressure, so that the root mean square velocity of its molecules becomes half of its previous value?
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Question 18 of 30
18. Question
1 point(s)In the expression for Boyle’s laws , the product ‘PV’ has dimensions of
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Question 19 of 30
19. Question
1 point(s)For a gas R/ Cv =0.4, where ‘R’ is the universal gas constant and ‘Cv’ is molar specific heat at constant volume. The gas is made up of molecules which are
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Question 20 of 30
20. Question
1 point(s)Two spherical black bodies have radii ‘r1’ and ‘r2’. Their surface temperatures are ‘T1’ and ‘T2’ . If they radiate same power then r2/r1 is
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Question 21 of 30
21. Question
1 point(s)Heat energy is incident on the surface at the rate of 100 J/min. If coefficient of absorption is 0.8 and coefficient of reflection is 0.1 then heat energy transmitted by the surface in 5 minute is
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Question 22 of 30
22. Question
1 point(s)The r.m.s. speed of oxygen molecule in a gas is ‘u’. If the temperature is doubled and the molecules dissociate into two atoms, the r.m.s speed will be
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Question 23 of 30
23. Question
1 point(s)An iron nail changes its colour from red to orange red and then to bluish white, when heated strongly in flames. This change of colour can be explained on the basis of
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Question 24 of 30
24. Question
1 point(s)The mean energy of a molecule of an ideal gas is
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Question 25 of 30
25. Question
1 point(s)An office room contains about 2000 moles of air. The change in the internal energy of this much air when it is called from 34℃ to 24ºC at a constant pressure of 1.0 atm is (Use ♈︎air = 1.4 and Universal gas constant = 8.314 J/mol K)
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Question 26 of 30
26. Question
1 point(s)The value of ♈︎ ( = C⍴/Cv) for hydrogen, helium and other ideal diatomic gas X (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to
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Question 27 of 30
27. Question
1 point(s)A sphere at 600 K is losing heat due to radiation. At this temperature its rate of cooling is R. The rate of cooling of this sphere at 400 K is (temperature of surroundings is 200 K)
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Question 28 of 30
28. Question
1 point(s)A cylinder of fixed capacity 67.2 litres contains helium gas at STP. The amount of heat needed to rise the temperature of the gas in the cylinder by 20℃ is (R = 8.31 J mol-1 k-1)
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Question 29 of 30
29. Question
1 point(s)A solid cube and a solid sphere of the same material have equal surface area. Both are at the same temperature 120℃, then
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Question 30 of 30
30. Question
1 point(s)H2 , O2 , N2 and He are enclosed in identical containers under the similar conditions of pressure and temperature. The gases will have
