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PES PESSAT Sample Question

Chemistry Questions

1. Volume of 75% H2SO4 by weight (density=1.8 g/ml) required to prepare 1L of 0.5 M solution is
(a) 36 ml (b)3.6 ml
(c) 39 ml (d) 33 ml

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2. A certain buffer solution contains equal concentrations of X- and HX. If Kb for X- is !0-10,calculate pH of the buffer.
(a) 4 (b) 10
(c) 7 (d) 14
3. Reagents required for conversion of benzene to hexachlorobenzene are
(a) excess Cl2 , AlCl3 (b) sunlight , excess Cl2
(c) excess Cl2, ZnCl2 (d) sunlight, CaCl2
4. The compressibility factor for a real gas at high pressure is
(a) 1+RT/pb (b) 1
(c) 1+ pb/RT (d) 1- pb/RT
5. Two electrolytic cells containing CuSO4 and AgNO3 are connected in series. Current of 2 A was passed till 10.8 g of Ag got deposited. (At.wt. of Cu = 63,Ag = 108). The amount of Cu deposited in the same time will be
(a) 6.3 g (b) 1.575 g
(c) 10.8 g (d) 3.15 g
6. In a Lechlanche cell which of the following takes place
(a) Reduction of Zn2+ to Zn (b) Reduction of Mn4+ to Mn3+
(c) Reduction of Mn4+ to Mn2+ (d) Oxidation of Mn3+ to Mn4+
7. Standard heat of formation of CH4 , CO2 and H2O(g) are -76.2 , -394.8 and -241.6 kJ/mol respectively. The amount of heat evolved on burning 1 m3 of CH4 measured at STP is
(a) 801 kJ (b) 36 kJ
(c) 36000 kJ (d) 954 kJ
8. Which of the following is NOT true about glucose
(a) Reduces Fehling’s solution (b) Gives Schiff’s test
(c) Has aldehyde group (d) Reduces Tollen’s reagent
9. The order of intermolecular forces in the following polymers is
(a) Nylon 6,6 < PVC < Polyethylene (b) Nylon 6,6 < Polyethylene < PVC
(c) PVC < Polyethylene < Nylon 6,6 (d) Polyethylene < PVC < Nylon 6,6
10. The rate of a reaction doubles when temperature changes from 27oC to 37oC. The activation energy is
(a) 53.6 kJ mol-1 (b) 57.6 x 10 J mol-1
(c) 53600 kJ mol-1 (d) 123.4 kJ mol-1
11. Hall-Heroult process is used for the extraction of
(a) Ni (b) Al
(c) Fe (d) Cu
12. The equilibrium mixture for 2 SO2(g) + O2 (g) à 2SO3(g) present in 1 litre vessel at 600oC contains 0.50, 0.12 and 5.0 mole of SO2, O2 and SO3 respectively.The Kp for the reaction is
(a) 22000 atm-1 (b) 833 atm -1
(c) 11.6 atm -1 (d) 0.114 atm-1
13. As per IUPAC nomenclature ,the complex [Co(NH3)2(H2O)4]Cl3
(a) Tetraaquadiaminecobalt(III)chloride (b) Tetraaquadiamminecobalt(III)chloride
(c) Diaminetetraaquacobalt(III)chloride (d) Diamminetetraaquacobalt(III)chloride
14. The solubility product (Ksp) of CuS , Ag2S and HgS are 10-31,10-44 and 10-54 respectively. The order of their solubility in water is
(a) CuS<Ag2S<HgS (b) Ag2S <HgS<CuS
(c) HgS< CuS<Ag2S (d) CuS< HgS <Ag2S
15. Which of these salts can be converted into alkyne by Kolbe’s method?
(a) Sodium succinate (b) Sodium maleate
(c) Sodium formate (d) Sodium acetate

Numerical Answer Questions

16. If the plot of Rate vs Concentration of reactants is a line parallel to x-axis, the order of the reaction is 0
17. Vant Hoff’s factor for Na2SO4 in very dilute solution is 3
18. The covalency of Nitrogen in N2O5 is 4
19. A 37% (w/w) HCl stock solution has density of 1.18 g/ml. The molecular weight of HCl is 36.5 g/mol. The volume of stock solution required to prepare 100 ml solution of 6M HCl is 50
20. The total number of lone pair of electrons in melamine is 6

Physics Questions

1. A ball A is thrown upfrom the edge of cliff and it lands below on the ground. Another indentical ball B is thrown down from the cliff with the same velocity as that of A. If the velocity of the ball A just before hitting the ground is vA and the velocity of B just before hitting the ground is vB then
(a) vA = vB, (b) vA > vB (c) vA < vB (d) nothing can be said about their velocities
2. Water drips from the nozzle of a shower onto the floor 2m below. The drops fall at regular intervals of time, the first drop striking the floor at the instant the fourth drop begins to fall. What is the location of the second drop from the floor? 8/9m
3. Three vectors , and are given. What is the value of 3C.(2A X B)? 540
4. A person walks up a stalled 20m long escalator in 120s. When standing on the moving escalator he is carried up the same distance in 80 seconds. The time required to walk up the moving escalator is
(a) 24s (b) 48s (c) 72s (d) 96s
5. A passenger of mass 80Kg stands on the floor of an elevator. If the elevator moves up with an acceleration 2m/s2 then the normal reaction of the floor of the elevator on the man is (assume g=10m/s2) is
(a) 800N (b) 640N (c) 960N (d) 160N
6. A 10Kg monkey climbs up a massless rope that runs over a frictionless branch of a tree and back down to a 15Kg package on the ground. The magnitude of the least acceleration the monkey must have if it is to lift the package off the ground is
(a) 9.8m/s2 (b) 19.6m/s2 (c) 4.9m/s2 (d) 2.45m/s2
7. A worker wishes to pile a cone of sand onto a circular area of radius 2m. The coefficient of static coefficient of friction between each layer of sand along the slope and the sand beneath it is 0.7 then assuming no slip the greatest height that the pile of sand can have is
(a) 2m (b) 1.4m (c) 1m (d) 0.7m
8. A disc of mass 1kgslides along a circular path of radius 1m, on a frictionless table while attached to a hanging block of mass 10kg through a hole in the table. The speed that can keep the block at rest is (assume g = 10m/s2)
(a) 1m/s (b) 5m/s (c) 10m/s (d) 20m/s
9. A helicopter lifts a 70Kg diver from the sea by means of a cable 50m long. The acceleration of the diver is g/20. How much work is done on the diver by the force from the helicopter? (take g as 10m/s2) 1750J
10. The force on a particle is directed along the x-axis and given by F = 240[(x/5)2 – 1]. The work done by the force in moving the particle from x = 0 to x = 20 is
(a) 18.8kJ (b) 19.8kJ (c) 20.8kJ (d)21.8kJ
11. A 50Kg bungee cord jumper is on a cliff 50m high above a stream. The elastic bungee cord has a relaxed length of 40m. The feet of the bungee jumper stops 2m above the stream. Assume that the cord obeys Hooke’s law the spring constant of the cord is (assume g = 10m/s2)
(a) 250N/m (b) 500N/m (c) 750N/m (d) 1000N/m
12. A 5kg block is dropped from a height of 20cm onto a spring of force constant 2000N/m. The distance moved by the block after coming in contact with the spring is
(a) 5cm (b) 10cm (c)15cm (d)20cm
13. An object is placed on top of a hemispherical mound of ice of radius 6m. The object is given a small push after which it starts sliding. The height above the ground when the object leaves the hemispherical mound is
(a) 3m (b) 6m (c) 1m (d) 4m
14. A 4kg block is placed on a horizontal surface and is connected to a spring of force constant 800N/m. The spring is compressed and then released. After the spring attains the relaxed length the block travels over the surface for a distance 10m. If the coefficient of kinetic friction for the surface is 0.4 the heat generated is
(a) 100J (b) 120J (c)140J (d) 160J
15. The coordinates of three masses 1kg, 3kg and 6kg are (1,1), (3,3) and (6,6) respectively. The coordinate of the centre of mass is
(a) (2,2) (b) (3,3) (c) (4,4) (d) (5,5)