### CUSAT SAMPLE PAPER

Actual paper will have following number of questions

 English Physics Chemistry Mathematics 10 questions 25 questions 25 questions 30 questions Q1.  If vectors A, B and C are such that AxB=C, then C is normal to A only. normal to B only. normal to both A and B. neither normal to A nor to B. Q2. A car accelerates on a straight road from rest to a speed of 50ms-1 in 25s.The distance covered by the car in this time is 1m. 100m. 625m. 1250m. Q3. On being slightly displaced, if the distance between the centre of gravity of a body and the ground remains unchanged, the body is in stable equilibrium. in neutral equilibrium. in unstable equilibrium. not in equilibrium at all. Q4. A ball moving to and fro about the lowest point of a smooth hemispherical bowl is able to rise upto a height of 45 cm on either side. Its speed at the lowest point is (g=10ms-2) 0.45ms-1. 3ms-1. 4.5ms-1. 9ms-1. Q5. The gain in potential energy of a body of masses M raised from the surface of the Earth to a height equal to radius R of the Earth is 2MgR. MgR. MgR/2. MgR/4. Q6. Two bodies of unequal masses moving with velocities V1 and V2, respectively, have same kinetic energy. The ratio of their linear momenta is    Q7. For a particle executing uniform circular motion velocity is transverse, acceleration is radial. velocity is radial, acceleration is transverse. both velocity and acceleration are transverse. both velocity and acceleration are radial. Q8. Consider the Earth moving around the Sun in a circular orbit. Which of the following statements is true? The Earth does some work while moving in its orbit. The Earth does no work while moving in its orbit. The kinetic energy of the Earth changes during the motion. The potential energy of the Earth changes during the motion. Q9.  In a thermodynamic process, the pressure of a fixed mass of gas is changed in such a manner that the gas releases 20 J of heat and 8J of work is done on the gas. If the initial internal energy of the gas was 30J, the final internal energy is 2 J. 10 J. 18 J. 58 J. Q10. The lowest possible temperature on the Kelvin scale is 0K. AT this temperature which of the following statements is true? The volume of the gas becomes zero. The pressure of the gas becomes zero. The mass of the gas becomes zero. All the molecular motion ceases. Q11. The length of a simple pendulum is increased by 44%. Its time period will increases by 10%. 20%. 40%. 44%. Q12. If two simple harmonic waves of the same frequency are superimposed, the resultant wave is simple harmonic wave of half the frequency. simple harmonic wave of the same frequency. simple harmonic wave of double the frequency. not a simple harmonic wave. Q13. The electric field inside a charged metallic hollow sphere is zero. same as that on the surface. less than that on the surface. greater than that on the surface. Q14. An electric charge in uniform motion produces magnetic field only. electric field only. neither electric field nor magnetic field. both electric field  and magnetic field. Q15. Which of the following statements regarding  image formation is true  for the laws of reflection? they hold for plane mirror only. they hold for convex mirror only. they hold for concave mirror only. they hold for all-plane, convex and concave mirrors. Q16.  In a double slit interference pattern, the first maxima for infrared light would  be at the same place as that for the green light.  be farther from the center than that for the green light.  be closer to the center than that for the green light . not be formed at all as infrared light does not produce interference pattern. Q17. After two hours (1/16)th of the initial amount of a radioactive specimen remains undecayed. The half life of the specimen is 15m. 30m. 45m. 1h. Q18. When a metallic surface is illuminated with a light of frequency ν,  the stopping potential for the photocurrent is 3V. When the same surface is illuminated with  light of frequency ν/2, the stopping potential  becomes  1V. The threshold frequency for the surface is ν ν/3 ν/4. ν/5. Q19. The value of equals –i 1 -1 i          Q20. The condition for polynomial equation to be a quadratic is a>0 a<0  Q21. If a,b,c are in A.P. then equals    Q22. The median of the following data 11,29,17,21,13,31,39,19 32  19 21  20 Q23.  Value of is -1 1 2 0 Q24. tan3x is periodic with periodic 2  /2 /3 Q25. The coefficient of in the expansion of is 1  n  n Q26. The function has a stationary point at x=e x=1/e x=1/2 x=e+1 Q27. is equal to log( )+c  log( )+c - log( )+c log(x)+c Q28. The differential equation satisfied by is    Q29. Three lines px+qy+r=0,qx+ry+p=0 and rx+py+q=0 ae concurrent if p+q+r=0 p-q+r=0 p+q-r=0 2p+q+r=0 Q30.   Q31.  The vertex of parabola is (4,7/2) (4,9/2) (9/2,4) (1,0) Q32.  Which of the following is not an equivalence relation is an even integer  is an even integer Q33.  If A and B are two finite sets with cardinality m and n respectively,  then the number of relations from A to B is   m+n Q34. then k is equal to -2log5 -2/log5 2log5 -1/2(log5) Q35.  The probability that a leap year will have 53 Fridays or 53 Saturdays is 2/7 3/7 4/7/ 1/7 Q36. If P(A+B)=5/6, , the P(A) is equal to 2/3 1/3 ½ 2/5 Q37. For the process: Dry ice →CO2(g) ∆H is +ve ∆S is –ve Both ∆H and ∆S are negative Both ∆H and ∆S are positive ∆H is –ve whereas ∆S is +ve Q38. The oxide which possesses electrical conductivity is: V2O5 CrO2 NiO        MnO2 Q39. In the following phase of orbitals, the larger effective nuclear charge will be experienced by I. 2s and 3s              II. 4d and 4f        III. 3d and 3p 2s, 4d, 3d 3s, 4f, 3p 2s, 4f, 3d 2s, 4d, 3p Q40. Sulphuric acid molecules contains Only covalent bonds Covalent ɛ’ ionic bonds Covalent  ɛ’ coordinate bonds Covalent ionic and coordinate bonds Q41. A first order reaction is half completed in 45 minutes. How long does it need for 99.9% of reaction to be completed? 20 hrs    10 hrs 7 hrs 5 hrs Q42. The Van’t Hoff Factor for 0.1 M Ba(NO3)2 solution is 2.74. The degree of dissociation is. 91.3% 87 % 100 % 74 % Q43. Standard Eo of the half cell Fe/Fe2+ is 0.44V and Standard Eo of the half cell Cu/Cu2+  is -0.32V then: Cu oxidises Fe2+ ion Cu2+ oxidises Fe Cu reduces Fe2+ ion Cu2+ reduces Fe Q44. Which one of the following arrangements of molecules is correct on the basis of their dipole moments? BF3 > NF3 >NH3 NF3 > BF3 > NH3 NH3 > BF3 > NF3 NH3 > NF3 > BF3 Q45. The O-O bond length in ozone is: 1.27o A 1.21o A 1.34o A 1.48o A Q46. Which type of hybridization is involved in XeF4 and what is its shape? d2sp3 and octahedral sp3 and tetrahedral sp3d2 and square planar dsp2 and square planar Q47. Titanium shows magnetic moment of 1.73 B.M. in its compound. What is the oxidation number of Ti in its compound? +1 +4 +3 +2 Q48. Which of the following transition elements exhibit +8 oxidation states Cu, Zn Ru, Os Ag, Au Cu,Cr Q49. Chloroform for anesthetic purposes is tested for its purity with the reagent: Lead nitrate Mercuric chloride Silver nitrate Ammonical Cu2 Cl2 Q50. Aniline on heating with Conc. HNO3  and Conc. H2SO4  mixture yields: O- and p- nitroanilines P-nitro anilines A Black tarry matter O- nitroanilines Q51. Which of the following reagents is useful is separating aniline form a mixture of aniline and nitrobenzene? Aqueous NaOH H2O Aqueous NaHCO3 Aqueous HCl Q52. Identify the compound ‘C’ in the sequence CH3CN A B C CH3COOH CH3CH2NHOH CH3CONH2 CH3CHO Q53. Table sugar is  a Disacchoride of D-glucose and D- fructose A monosaccharide D- glucose Disaccharide of two glucose units Q54. A medicine which promotes secretion of urine is called Diuretic Antipyretic Analgesic Sedative Tick the option that is close in meaning to the given expression Q55. essay to tryto resignto write to propose Q56.  explicit inflexiblevagueclearalready quoted Choose the option that will complete the sentence Q57. My intention is ____________ my project by June. finishing finishedto finish finish Q58. The argument is centred _______ whether or not to lower the age limit. about  on over  towards Read the passage and answer the questions that follow by choosing the right option Vancouver is one of the world’s food capitals, boasting many high quality dining experiences. With so many culinary traditions to draw upon, eating out in Vancouver is a varied and relatively inexpensive affair. The city is obsessed with its restaurants, and locals make a regular habit of trying new venues to wine and dine. As the tour guide pointed out, there is not a single person walking on the streets of Vancouver without a big mug of coffee or something to munch on. Q59. Which of the following is not a reason for the people of Vancouver to eat out? the city has many restaurants the food is not very costly people love eating people like to spend money on food Q60. Why does Vancouver offer a variety of food? its restaurants prepare dishes from different cultures the country has its distinct style of cooking the restaurants keep mixing new dishes the people need different foods at different times
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