MHT-CET PCM PAPER 1

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5. Dimensions of Gyromagnetic ratio are

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7. If ∝ is the coefficient of performance of a refrigerator and 'Q1' is heat released to the hot
reservoir, then the heat extracted from the cold reservoir 'Q2' is

8. A metal sphere of radius 'R' and density 'ϱ1' is dropped in a liquid of density 'σ' moves with
terminal velocity 'V'. Another metal sphere of same radius and density 'ϱ2' is dropped in the
same liquid, its terminal velocity will be

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10. If a star emitting yellow light is accelerated towards earth, them to an observer on earth it will
appear

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12. In biprism experiment ,the distance between source and eyepiece is 1.2 m,the distance
between two virtual sources is 0.84 mm. Then the wavelength of light used if eyepiece is to
be moved transversely through a distance of 2.799 cm to shift 30 fringes is

13. A body is projected vertically from the surface of the earth of radius 'R' with velocity equal to
half of the escape velocity. The maximum height reached by the body is

14. A thin hollow prism of refracting angle 3o, filled with water gives a deviation of 1o.The
refractive index of water is

15. Two capillary tubes of different diameters are dipped in water .The rise of water is

16. A clock pendulum having coefficient of linear expansion α = 9×10ˆ-7/°C has a period of 0.5 s at
20o
C. If the clock is used in a climate where the temperature is 30o
C , how much time does
the clock lose in each oscillation?(g=constant)

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18. The dimensions of torque are same as that of

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22. A telescope has large diameter of the objective.Then its resolving power is

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24. Work done in stretching a wire through 1mm is 2J. What amount of work will be done for
elongating another wire of same material, with half the length and double the radius of cross
section, by 1 mm?

25. The wave length of the first line in Balmer series in the hydrogen spectrum is 'λ'. What is the
wavelength of the second line in the same series?

26. The angle made by orbital angular momentum of electron with the direction of the orbital
magnetic moment is

27. A galvanometer has resistance of 100Ω and a current of 10mA produces full scale deflection
in it. The resistance to be connected to it in series, to get a voltmeter of range 50 volt is

28. A particle executes the simple hormonic motion with an amplitude ' A '. The distance travelled
by it in one periodic time is

29. The Kinetic Energy of  a revolving satellite ( mass 'm' ) at a height equal to thrice the radius of earth( R ) is

30. A transverse wave is propagating on the string.The linear density of a vibrating string is 10-3
kg/m. The equation of the wave is Y = 0.05 sin(x+15t) where x and Y are in metre and time in
second.The tension in the string is

31. A layer of atmosphere that reflects medium frequency radio waves which is ineffective during
night, is

32. Two parallel conductors carrying unequal currents in the same direction __________

33. In air, a charged soap bubble of radius 'R' breaks into 27 small soap bubbles of equal radius 'r'.
Then the ratio of mechanical force acting per unit area of big soap bubble to that of a small
soap bubble is

34. For a metallic wire, the ratio of voltage to corresponding current is

35. If radius of the solid sphere is doubled by keeping its mass constant, the ratio of their
moment of inertia about any of its diameter is

36. Two small drops of mercury each of radius 'R' coalesce to form a large single drop. The ratio
of the total surface energies before and after the change is

37. In fundamental mode,the time required for the sound wave to reach upto the closed end of a
pipe filled with air is 't' second .The frequency of vibration of air column is

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41. Two identical wires of substances 'P' and 'Q' are subjected to equal stretching force along the
length. If the elongation of 'Q' is more than that of 'P', then

42. In moving coil galvanometer, strong horse shoe magnet of concave shaped pole pieces is
used to

43. Bohr model is applied to mass 'm' , charge 'q' moving in a plane under the influence of a  transverse magnetic field 'B'. The energy of the charged particle in the nth level will be ?( h = Planck's Constant)

44. Which of the following combinations of 7 identical capacitors each of 2µF gives a resultance capacitance of 10/11 µF ?

45. The quantity which does not vary periodically for a particle performing S.H.M. is

46. In a series LCR circuit R=300Ω ,L=0.9H,C=2µF , ω =1000rad/s. The impedance of the circuit is

47. Two open pipes of different lengths and of same diameter in which the air column vibrates
with fundamental frequencies 'n1', and 'n2' respectively. When both pipes are joined to form a
single pipe, its fundamental frequency will be

48. The radius of the earth and the radius of orbit around the sun are 6371 km and 149×10⁶
km respectively . The order of magnitude of the diameter of the orbit is greater than that of earth
by

49. Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according
to equation I = 5 sin 200πt. The maximum value of e.m.f induced in the second coil is

50. A stone of mass 1kg is tied to a string 2m long and is rotated at constant speed of 40 ms-1 in
a vertical circle . The ratio of the tension at the top and the bottom is [Take g = 10ms-2]

1. Aqueous solution of a salt (A) forms a dense white precipitate with BaCl₂ solution. The precipitate dissolves in dilute HCl to produce a gas (B) which decolourises acidified KMnO₄ solution. A and B respectively are

2. β-pleated sheets of polypeptide chains are present in

3. Which of the following is NOT an antiseptic compound?

4. Which hydride among the following is strongest reducing agent ?

5. The bond line formula of 1-iodo -2,3-dimethyl pentane is

6. Which of following is NOT a property of red phosphorus ?

7. What happens when ionic hydrides of S-block elements in molten state are electrolysed?

8. If the Vant Hoff factor for 0.1 M Ba(NO3)2
solution is 2.74, the degree of dissociaion is

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10. For a process, entropy change of a system is expressed as

11. Which among the following reaction is an example of a zero order reaction?

12. Bassemerization is used in the extraction of

13. Which among the following is NOT a semi-synthetic polymer.

14. For the elementary reaction 2SO2(g) + O2(g) → 2SO3(g), identify the correct among the
following relations

15. Which among the following oxides of nitrogen is called nitrogen sesquioxide?

16. Which among the following group 15 elements does not exhibit allotropy ?

17. 3
4
For the conversion of oxygen to ozone in the atmosphere, nitric oxide in gaseous phase acts
as

18. ' K ' is Henry's constant and has the unit

19. What is the H-S-H bond angle in H2S?

20. Which among the following sets of compounds is used as raw material for the preparation of
sodium carbonate by solvay process?

21. Calculate Vant Hoff factor for 0.2 m aqueous solution of KCl which freezes at -0.6800C.
(Kf=1.86 K kg mol-1)

22. ∝ - butylene when subjected to hydroboration oxidation reaction, yields

23. What is the percentage of carbon in urea ? ( At mass C=12, H=1, N=14,O=16 )

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25. The ionic charges on chromate ion and dichromate ion respectively is

26. Mandelonitrile is obatined by the reaction between hydrogen cyanide and

27. Two electrolytic cells are connected in series containing CuSO4
solution and molten AlCl3. If
in electrolysis 0.4 moles of 'Cu' are deposited on cathode of first cell. The number of moles of
'Al ' deposited on cathode of the second cell is

28. Which among the following compounds in crystalline form is used for making Nicol's prism?

29. Which of the following sets of components form homogeneous mixture?

30. Which of following bonds has maximum bond length ?

31. Nitroalkanes are obtained in laboratory from primary or secondary alkyl halides by the action
of

32. The bacteriostatic antibiotic from the following is

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34. A cold drink bottle contains 200 mL liquid in which CO2
is 0.1 molar . Considering CO2
as an
ideal gas the volume of the dissolved CO2
at S.T.P is

35. Which among the following solids shows Frenkel defect ?

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37. The conductivity of an electrolytic solution decreases on dilution due to

38. Calculate the difference between heat of combustion of carbon monoxide gas at constant
pressure and at constant volume at 27°C? ( R = 2Cal K-1 mol-1)

39. Which among the following compounds is used as selective weed killer?

40. Which among the following pairs of compounds is NOT isomorphous?

41. Which among the following is used in the treatment of cancer?

42. Three moles of an ideal gas are expanded isothermally from a volume of 300 cm3
to 2.5 L at
300 K against a pressure of 1.9 atm. The work done in joules is

43. Which of the following polymer is used in paints ?

44. When CuSO4
solution in water is treated with concentrated HCl it turns

45. Which complex among the following gives a white precipitate on treatment with an aqueous
solution of barium chloride?

46. Which among the following compounds is used to decaffeinate coffee?

47. Action of hydrogen iodide on anisole gives,

48. How many isoprene units are present in abscisic acid ?

49. In the reaction, MnO4(aq) + Br¹(aq) → MnO2(s) + BrO3(aq), the correct change in oxidation number of the species involved isIn the reaction, MnO4(aq) + Br¹(aq) → MnO2(s) + BrO3(aq), the correct change in oxidation number of the species involved is

50. Which of following methods is used to separate wolframite and stannic oxide present in
cassiterite?

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31. When propene reacts with HCl in presence of peroxide, the product is

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33. If G ( 3 , -5 , r ) is centroid of triangle ABC where A ( 7,-8,1) , B (p , q , 5) and C (q+1 , 5p , 0 )
are vertices of a triangle then values of p , q , r are respectively …....

34. If A is non-singular matrix such that (A-2I) (A-4I) = 0 then A+8A-1 = …...

35. The general solution of the differential equation of all circles having centre at A ( -1 , 2 ) is …...

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39. A stone is dropped into a pond. Waves in the form of circles are generated and radius of 3
outermost ripple increases at the rate of 5 cm/sec. Then area increased after 2 seconds is …..

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41. A bag contain 6 white and 4 black balls. Two balls are drawn at random. The probability that
they are of the same colour is …..

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44. Q8. The area of the region bounded by the curve y=2x-x² and the line y=x is ...............square unit.

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46. Q.6 It is observed that 25 % of the cases related to child labour reported to the police station are
solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved is
…..

47. Q5. Which of the following function is not continuous at x =
0 ?

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49. The order of the differential equation of all circles whose radius is 4 , is …..

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