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1. Which of the following configurations corresponds to an alkaline earth metal?a. Ne2s22p2 b. Ar3d24s2
c. Ar3d104s2 d. Ar 4s2
2. Reason for alkali metals to be soft is: a. They are less metallic in nature b. There is only one valency electron per atom c. They do not have close packed structuresd. They have high I.E.
3. Which of the following is correct for thermal stability?a. K2CO3 < MgCO3 <CaCO3 < BeCO3
b. BeCO3 < MgCO3 < CaCO3 <K2CO3
c. BeCO3 < MgCO3 < K2CO3 < CaCO3 d. none of these
4. Which of the following statements is incorrect for Be?a. most of its compounds are largely covalent b. it forms a covalent chloride BeCl2 which has bridge covalent structure and is a linear molecule.c. none of thesed. it forms Be2+ ions because of the lower value the sum of 1st and 2nd I. E.
5. The pair of compounds which cannot exist together in solution isa. NaHCO3 and NaOH b. NaHCO3and H2O
C. NaHCO3 and Na2CO3 d.NONE OF THESE
6. Which compound possesses the highest lattice energy?a. CsI b. KFc. LiF d. NaCl
7. The formula of plaster of Paris is: a. CaSO4. 11/2H2O b. CaSO4. 2H2O c. 2.CaSO4.H2O d. CaSO4. H2O
8. Which of the following has correct increasing basic strength?a. MgO < BeO < CaO < BaOb. BeO < MgO < CaO < BaOc. BaO < CaO < MgO < BaOd. none of these
9. Baking power has one of the following constituents a. Na2CO3 b. Na2SO4
c. NaHCO3 d. K2CO3
10.For two ionic solids CaO and KI, identify the wrong statements among the following?a. Lattice energy of CaO is much higher then that of KI
b. KI is soluble in benzene c. CaO has high m.p. d. KI is soluble in water.
11. In the reaction 21H+31H→4
2He+1
0n ,if the binding energies of
21H ,31Hand
42He are
respectively a, b, and c then the energy released is a. a + b + c b. a + b – cc. c – a – b d. c + a – b
12.A star converts He to oxygen. Find the energy released in each reaction of oxygen. Mass of He = 4.0026 aum and mass of O = 15.9994aum a. 7.26 MeV b. 7 MeVc. 10.24 MeV d. 5.12 MeV
13.A . It is not possible to use 35Cl as the fuel for fusion energy R. The binding energy of Cl is too small a. Both A and R the correct and R is correct explain of A b. both A and R false c. A is true but R is false d. none of these
14.22286A→210
84B . In this reaction how many α and 𝛽 emissions have occurred
a. 6α, 3𝛽 b. 3α, 4𝛽c. 4α, 3𝛽 d. 3α, 6𝛽
15.Consider two nuclei of same radioactive nuclide. One of the nuclei was created in a supernova explosion 5 billion years ago. The other was created in a nuclear reactor 5 minutes ago. The probability of decay during the next time is a. different for each nuclei b. nuclei created in explosion decays firstc. nuclei created in the reactor decays firstd. independent of time of creation
16.The correct relation between the packing fraction P and mass number A is
a. P = A
M−Ab .P=M−A
A
c. P=A
M+A d. P=M+AA
17. In the fusion process there are a. isotopes b. isotopes of hydrogen c. isotopes of carbon d. isotopes of helium
18. If 200 MeV energy is obtained per fission of 92U235 then the number of fission per second to produce 1 kW power will be a. 3.125 x 1013 b. 0.125 x 1013
c. 1.25 x 1018 d. 3.2 x10-8
19.Atomic reactor is based on
a. nuclear fission b. controlled chain reaction c. nuclear fission d. none of these
20.The energy of thermal neutrons is nearly a. 0.025Jule b. 0.25eVc. 0.025eV d. 200MeV
21.The line xa+ yb=1touches the curve y = be-x/a at the point
a. ( - a, ba) b. (a, a/b)c. (a, b/a) d. none of these
22. If h (x) = f (x) + f (-x), then h(x) has got an extreme value at a point where f’ (x)is a. even function b. odd function c. zero d. none of these
23.The two curves x3 – 3xy2 +2 = 0 and 3x2y – y3 – 2 = 0a. cut at right angles b. touch each other
c. cut at an angle π3
d. cut at an angle π4
24.∫dx
x2(1+ x4)34
is equal to
a. – ¿¿ + C b. ¿¿c. – ¿¿ + C c. none of these
25.∫ dx
cosx √cos2 x is equal to
a. √2(√ tan x+ 15 tan52)+C b. √2(√cot x+ 15 tan
52 )+C
c. √2(√ tan x−15 tan52)+C d. none of these
26.∫ dx
cos3 x √sin 2 x is equal to
a. √2(√cot x+ 15 tan52 x)+C b. √2(√ tan x+ 15 tan
52 x )+C
c. √2(√ tan x−15 tan52 x )+C d. none of these
27. If f (x) = ∫ (x¿¿2+sin2 x)1+x2
¿ sec2x dx and f (0) = 0then f(1)=
a. 1 - π4
b. π4
- 1
c. tan 1- π4
d. none of these
28.∫ dx
√sin3 xsin(x+a) is equal to
a. 2 cosec α √cosα+sinα cot x +C b.- 2 cosec α √cosα+sinα cot x +Cc. cosec α √cosα+sinα cot x +Cd. none of these
29. If ∫ x2
(x sinx+cosx )2dx =
f (x )x sin x+cos x
+ tan x+Cthen
a. f (x)=xcosx
b. f(x) = cox xx
c. f (x)=−xcosx
d. none of these
30.∫ ex (1+sinx)(1+cosx)
dx is equal to
a.ex cot x b. sin (log x)
c.ex tan
x2
d. log tan x