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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
1. |
`K_(f)` for water is `1.86 K kg mol^(-1)`. IF your automobile radiator holds `1.0 kg` of water, how many grams of ethylene glycol `(C_(2)H_(6)O_(2))` must you add to get the freezing point of the solution lowered to `-2.8^(@)C` ?A. 72gB. 93gC. 39gD. 27g |
Answer» Correct Answer - B | |
2. |
`underset("Cold" NaNO_(2))overset(dil HCl)rarrX` `X` is mixed with a mixture of phenol and aniline in acidic medium. The product obtained isA. B. C. D. |
Answer» Correct Answer - A |
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3. |
Which of the following arrangements shows schematic alignment of magnetic moments of antiferromagnetic substances?A. B. C. D. |
Answer» Correct Answer - C | |
4. |
In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct ?A. Every object that is weighted using this balance appears lighter than its actual weightB. Left arm is shorter than the right armC. Both the arms are of same lengthD. Left arm is longer than the right arm |
Answer» Correct Answer - B | |
5. |
In the given circuit diagram, the currents, `I_1=-0.3A,I_4=0.8A` and `I_5=0.4A`, are flowing as shown. The currents `I_2,I_3` and `I_6` respectively, are : A. `1.1A,-0.4A,0.4A`B. `1.1A,0.4A,0.4A`C. `0.4A,1.1A,0.4A`D. `-0.4A,0.4A,1.1A` |
Answer» Correct Answer - A | |
6. |
Percentage of free space in cubic close packed struchure and in body centred structure are respectively.A. `30% and 26%`B. `26% and 32%`C. `32% and 48%`D. `48% and 26%` |
Answer» Correct Answer - B | |
7. |
The intermolecular interaction that is dependent on the inverse cube of distance between the molecules isA. ion - dipole interactionB. London forceC. hydrogen bondD. ion - ion interaction |
Answer» Correct Answer - A | |
8. |
With reference to Valence Bond Theory in co-ordination compounds which of the following statements is//are, correct? I. `VBT` does not explain the colour exhibited by co-ordination compounds. II. `VBT` explains and gives quantitative interpetation of magnetic data. III. `VBT` does not distinguish between weak field ligand and strong field ligand.A. `I,II,III`B. `I,II`C. `II,III`D. `I,III` |
Answer» Correct Answer - D |
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9. |
If `K_(sp)` of `Ag_(2)CO_3` is `8xx10^(-12)`, the molar solubility of `Ag_2CO_3` in `0.1M AgNO_3` is:A. `8xx10^(-12)M`B. `8xx10^(-11)M`C. `8xx10^(-10)M`D. `8xx10^(-13)M` |
Answer» Correct Answer - A | |
10. |
The density of a solution prepared by dissolving 120 g of urea (mol. Mass=60 u) in 1000 g of water is 1.15 g/mL. The molarity if this solution isA. 0.50 MB. 1.78 MC. 1.02 MD. 2.05 M |
Answer» Correct Answer - D | |
11. |
A thin uniform rod of mass M and length L. Find the radius of gyration for rotation about an axis passing through a point at a distance of`(L )/(4 )` from centre and perpendicular to rod.A. `sqrt((7)/(48)L)`B. `sqrt((5)/(48)L)`C. `sqrt((7)/(24)L)`D. `sqrt((19)/(24)L)` |
Answer» Correct Answer - A | |
12. |
Which one of the following complexes shows optical isomerism?A. `NO_(2) and NO`B. `NO and N_(2)O`C. `NO_(2) and N_(2)O`D. `N_(2)O and NO_(2)` |
Answer» Correct Answer - D | |
13. |
Which one of the following complexes shows optical isomerism ?A. `cis[Co(en)_(2)"Cl"_(2)]"Cl" `B. `trans[Co(en)_(2)"Cl"_(2)]"Cl" `C. `[Co(NH_(3))_(4)"Cl"_(2)]"Cl"`D. `[Co("NH"_(3))_(3)"Cl"_(3)]` |
Answer» Correct Answer - A | |
14. |
`3sin^-1x=sin(3x-4x^3), x in [-1/2,1/2] ` |
Answer» Let `x = siny` Then, `L.H.S. = 3sin^-1x = 3sin^-1(sin y) = 3y` `R.H.S. = sin^-1(3x-4x^3) = sin^-1(3siny-4sin^3y)` `=sin^-1(sin3y) = 3y` Hence, `L.H.S. = R.H.S.` |
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15. |
A class consist of 30 boys and 20 girls of which half the girls have blue eyes. Find the probability that a certain student chosen at random is a boy or has blue eyes. |
Answer» Total number of boys `= 30` Total number of girls ` = 20` Total number of students ` = 30+20 = 50` Total number of students having blue eyes ` = 30/2+20/2 = 25` Total number of students who are boys and have blue eyes ` = 30/2= 15` Probability that a student chosen is boy, `P(A) = 30/50 = 3/5` Probability that a student chosen is blue eyed, `P(B) = 25/50 = 1/2` Probability that a student chosen is a boy and blue eyed, `P(AnnB) = 15/50 = 3/10` Probability that a student chosen is a boy or blue eyed, `P(AuuB) = P(A)+P(B)-P(AnnB) = 3/5+1/2-3/10 = 8/10 = 4/5` |
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16. |
The species in which the N-atom is in a state of sp hybridisation isA. `NO_(2)^(-)`B. `NO_(3)^(-)`C. `NO_(2)`D. `NO_(2)^(+)` |
Answer» Correct Answer - D | |
17. |
Which of the following , upon treatment with tert-BuONa followed by addition of bromine water , fails to decolourise the colour of bromine ?A. B. C. D. |
Answer» Correct Answer - D | |
18. |
Which of the following statement is correct ?A. Brownian motion of colloidal particles does not depend on the size of particles.B. Adsorption is endothermic process.C. Colloidal medicines are beter because of their small surface area.D. Electrophoresis can be used for ppt of lyophobic colloid. |
Answer» Correct Answer - D |
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19. |
An organic compound A ( mol wt = 180) is acylated with `CH_3 COCl` to get acylated compound of mol wt. 390. What is the number of amino groups present per molecule of the compound A?A. 5B. 4C. 6D. 2 |
Answer» Correct Answer - A | |
20. |
Addition of sodium hydroxide solution to a weak acid (HA) results in a buffer of pH 6. If ionisation constant of HA is `10^(-5)`, the ratio of salt to acid concentration in the buffer solution will be :A. `10:1`B. `4:5`C. `5:4`D. `1:4` |
Answer» Correct Answer - A | |
21. |
Given `E_(Cl_(2)//Cl^(-))^(@)=1.36V,E_(Cr^(3+)//Cr)^(@)=-0.74V` `E_("Cr_(2)O_(7)^(2-)//Cr^(3+))^(@)=1.33V,E_(MnO_(4)^(-)//Mn^(2+))^(@)=1.51V` Among the following, the strongest reducing agent isA. `Mn^(2+)`B. `Cr^(3+)`C. `Cl^(-)`D. `Cr` |
Answer» Correct Answer - D | |
22. |
The increasing order of reactivity of the following halides for the `S_(N)1` reaction is I.`CH_(3)CH(CI)CH_(2)CH_(3)` `II . CH_(3)CH_(2)CH_(2)Cl` III. `p. -H_(3)CO-C_(6)H_(4)-CH_(2)Cl`A. IIltIltIIIB. IltIIIltIIC. IIltIIIltID. IIIltIIltI |
Answer» Correct Answer - A | |
23. |
Which in the correct structure of Nylon-6A. B. C. D. |
Answer» Correct Answer - B |
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24. |
The element that shows greater ability to form `p^(pi)-p^(pi)` multiple bonds is :A. SnB. CC. GeD. Si |
Answer» Correct Answer - A | |
25. |
The correct match for given in clumn A with column B is `{:("Column-A" , "Column-B"),((i) Nylon-6,(a)"Zeigler nattan catalyst"),((ii) "Novolac",(b) "peroxide catalyst"),((iii) "high density polythene",(c) "condensation at high T & P"),((iv). "poly acrylonitrile",(d) "catalysed by acid/base"):}`A. (i)-d, (ii)-1, (iii) ,c (iv)-bB. (i)-1, (ii)-c, (iii)-b, (iv)-dC. (i)-c, (ii)-d, (iii)-a, (iv)-bD. (i)-b, (ii)-v, (iii)-a, (iv)-d |
Answer» Correct Answer - C |
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26. |
The two monomers for the synthesis of Nylon `6,6` are :A. `HOOC(CH_2)_4COOH,H_2N(CH_2)_(6)NH_2`B. `HOOC(CH_2)_6COOH,H_2N(CH_2)_(6)NH_2`C. `HOOC(CH_2)_4COOH,H_2N(CH_2)_(4)NH_2`D. `HOOC(CH_2)_6COOH,H_2N(CH_2)_(4)NH_2` |
Answer» Correct Answer - A | |
27. |
Given : (i) `C("graphite") +O_2(g)toCO_2(g)DeltarH^(Theta)="x kj "mol^(-1)` (ii)`C("graphite") +(1)/(2)O_2(g)toCO_2(g),DeltarH^(Theta)="y kj "mol^(-1)` (iii) `CO(g) +(1)/(2)O_2(g) toCO_2(g),DeltarH^(theta)="zkj" mol^(-1)` Based on the above thermochemical equations, find out which one of the following algebraic relationships is correct ?A. `x=y+z`B. `z=x+y`C. `y=2z-x`D. `x=y-z` |
Answer» Correct Answer - A | |
28. |
Which one of the following reaction of xenon compounds is not Feasible?A. `XeO_(3) + 6HF rArr Xe F_(6) + 3H_(2)O`B. `3Xe F_(4) + 6H_(2)O rarr 2Xe + XeO_(3) + 12 HF + 1.5 O_(2)`C. `2Xe F_(2) + 2H_(2)O rarr 2Xe + 4HF + O_(2)`D. `Xe F_(6) + RbF rarr Rb (XeF_(7)]` |
Answer» Correct Answer - A | |
29. |
The aldehydes which will not form Grignard prodcut with one equivalent Grignard reagents are :A. B. C. D. |
Answer» Correct Answer - A | |
30. |
In the conversion of `O_(2)toO_(2)^(-)` electron enter in which molecular orbital?A. `pi_(2px)^(+)`B. `pi_(2px)`C. `sigma_(2pz)^(+)`D. `sigma_(2pz)` |
Answer» Correct Answer - A |
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31. |
The correct sequence of reagents for the following conversion will be: A. `CH_(3)MgBr,H^(+)//CH_(3)OH,[Ag(NH_(3))_(2)]^(+)OH^(-)`B. `CH_(3)MgBr,[Ag(NH_(3))_(2)]^(+)OH^(-),H^(+)//CH_(3)OH`C. `[Ag(NH_(3))_(2)]^(+)OH^(-),CH_(3)MgBr, H^(+)//CH_(3)OH`D. `[Ag(NH_(3))_(2)]^(+)OH,H^(+)//CH_(3)OH,CH_(3)MgBr` |
Answer» Correct Answer - D | |
32. |
When chlorine reacts with cold and dilute solution of sodium hydroxide, the products obtained areA. `ClO_(2)^(-) and ClO_(3)^(-)`B. `Cl^(-) and ClO^(-)`C. `Cl^(-) and ClO_(2)^(-)`D. `ClO^(-) and ClO_(3)^(-)` |
Answer» Correct Answer - B | |
33. |
Which method of purification is represented by the following equation? `Ti(s)+2I_(2)(g)overset(523K)(to) Til_(4)(g)overset(1700K)(to)Ti(s)+2I_(2)(g)`A. zone refiningB. cupellationC. PolingD. Van Arkel |
Answer» Correct Answer - D | |
34. |
In the of the following pairs of molecules /ions both the species are not likely to exist?A. `H_(2)^(-),He_(2)^(2-)`B. `H_(2)^(2+),He_(2)`C. `H_(2)^(-)He_(2)^(2+)`D. `H_(2)^(+),He_(2)^(2-)` |
Answer» Correct Answer - B | |
35. |
In amplitude modulation, sinusoidal carrier frequency used is denoted by `omega_(c)` and the signal frequency is denoted by `omega_(m)`. The bandwidth `(Deltaomega_(m))` of the signal is such that `Deltaomega_(m)ltltomega_(c)`. Which of the following frequency is no =t contained in the modulated wave.A. `omega_(c)-omega_(m)`B. `omega_(m)`C. `omega_(c)`D. `omega_(m)+omega_(c)` |
Answer» Correct Answer - B | |
36. |
An object A of mass `m` with initial velocity `u` collides with a statinary object B after elestic collision A moves with `(u)/(4)` calculate mass of B.A. `(7m)/(5)`B. `(3m)/(5)`C. `(9m)/(5)`D. `(4m)/(5)` |
Answer» Correct Answer - B |
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37. |
A particle A of mass m and initial velocity v collides with a particle of mass `m//2` which is at rest. The collision is head on, and elastic. The ratio of the de-broglie wavelength `lambda_(A) and lambda_(B)` after the collision isA. `(lamda_(A))/(lamda_(B))=(1)/(2)`B. `(lamda_(A))/(lamda_(B))=(1)/(3)`C. `(lamda_(A))/(lamda_(B))=2`D. `(lamda_(A))/(lamda_(B))=(2)/(3)` |
Answer» Correct Answer - C | |
38. |
In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is :A. `(v_(@))/(sqrt(2))`B. `(v_(@))/(4)`C. `sqrt(2)v_(@)`D. `(v_(@))/(2)` |
Answer» Correct Answer - C | |
39. |
A uniform disc of radius R and mass M is free to rotate only about its axis. A string is wrapped over its rim and a body of mass m is tied to the free end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body is A. `(2Mg)/(2m +M)`B. `(2Mg)/(2M+m)`C. `(2mg)/(2M +m)`D. `(2mg)/(2m + M)` |
Answer» Correct Answer - D | |
40. |
An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy. The total distance covered as `t to oo` is -A. 2hB. `oo`C. `(5)/(3)h`D. `(8)/(3)`h |
Answer» Correct Answer - A | |
41. |
If the earth has no rotational motion, the weight of a person on the equation is W. Detrmine the speed with which the earth would have to rotate about its axis so that the person at the equator will weight `(3)/(4)` W. Radius of the earth is 6400 km and g = 10 `m//s^(2)`.A. `0.63xx10^(-3)` rad/sB. `0.28 xx 10^(-3)` rad/sC. `1.1xx10^(-3)` rad/sD. `0.83xx10^(-3)` rad/s |
Answer» Correct Answer - A | |
42. |
On the basis of the following thermochemical data : `(Delta H_(f)^(0)H_((aq))^(+)=0)` `H_(2)O(l)rarr H^(+)(aq) , Delta H = 57.32 kJ` `H_(2)(g)+(1)/(2)O_(2)(g)rarr H_(2)O(l) , Delta H = -286.20 kJ` The value of enthalpy of formation of `OH^(-)` ion at `25^(@)C` is :-A. `-22.88 kJ`B. `-228.88 kJ`C. `+228.88 kJ`D. `-343.52 kJ` |
Answer» Correct Answer - B | |
43. |
The transtion from the state `n = 4 to n = 3 ` in a hydrogen like atom results in ultraviolet radiation Infrared rediation will be obtained in the transition from :A. `2 rarr 1`B. `3 rarr 2`C. `4 rarr 2`D. `5 rarr 4` |
Answer» Correct Answer - D | |
44. |
A thin uniform rod of length `l` and mass `m` is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is `omega`. Its centre of mass rises to a maximum height of -A. `(1)/(3) (l^(2) omega^(2))/(g)`B. `(1)/(6) (l omega)/(g)`C. `(1)/(2) (l^(2) omega^(2))/(g)`D. `(1)/(6) (l^(2) omega^(2))/(g)` |
Answer» Correct Answer - D | |
45. |
A `(3,0,-1),B(2,10,6)` and `(1,2,1)` are the vertices of a triangle. M is the mid point of the line segment joining AC and G is a point on line segment BM dividing `2:1` ratio internally find `cos(angleGOA)`A. `(2)/(sqrt(5))`B. `(1)/(sqrt(15))`C. `(1)/(sqrt(10))`D. `(1)/(sqrt(3))` |
Answer» Correct Answer - B |
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46. |
A triangle ABC is given where vertex A is (1, 1) and the orthocenter is (2, 4). Also sides AB and BC are members of the family of lines `ax + by + c = 0` where `a, b, c` are in `A.P.` Based on above written, solve the following questions. The vertex B is |
Answer» ax+by+c=0 -(1) 2b=a+c a-2b+c=0 -(2) `x/1=y/-2=1/1` co-ordinates of B x=1 and y=-2 |
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47. |
The vertices of a triangle are A(1, 1), B(4,5) and C(6, 13) Find cos A. |
Answer» `a=sqrt(68)` `b=13``c=5``Cos(A)= (b^2 +c^2- a^2)/(2*b*c)``Cos(A)=0.969` |
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48. |
Show that the relation R on R defined as `R= {(a,b): a |
Answer» `R = {(a,b): a le b}` If the relation is reflexive, then `(a,a) in R` Here, `a le a` `:. f(a,a)` is true. So, relation is reflexive. If the relation is symmetric, then if `(a,b) in R` then`(b,a) in R`. Here, if `a le b` then `b le a` For `a =2, b= 5`, `2 lt 5` and `5 gt 2` `:.` Relation is not symmetric. Let `(a,b) in R and (b,c) in R` `=> (a le b)` & `(b le c)`. `=> (a le c)` . `:. (a,c) in R`. `:. R` is transitive. |
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49. |
The arithmetic mean of two numbers is 6 and their geometric mean G andharmonic mean H satisfy the relation `G^2+3H=48`.Find the two numbers. |
Answer» let two number be a, b given that `(a+b)/2 = 6` --eqn(1) also, `G^2 + 3*H = 48` so, `a*b + 3*(2*a*b)/(a+b) = 48 ` `a*b + (3*a*b)/6 = 48` `ab(1+ 1/2) =48 ` `ab(3/2) = 48` `ab= (48*2)/3 = 32` so, a = 8 , b=4As, `(a+b)/2` = `(8+4)/2 = 6` is also satisfied. |
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50. |
If `R`is a relation on the set `A={1,2,3,4,5,6,7,8,9}`given by `x R y y=3x` then `R=`A. {(3,1),(6,2),(9,3)}B. {(1,3),(3,9)}C. {(1,3),(2,6),(3,9)}D. None of these |
Answer» Correct Answer - C |
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