Capítulo 2: Sensores de gas basados en LMR: Estado del arte
2.4. Fundamentos y conceptos básicos sobre LMR
deceleration so that at any moment of time its tangential and normal acceleration are equal in magnitude. At the initial moment t = 0, the velocity of body is v0 then the velocity of body will be -
This section contains 2 paragraphs; each has 3 multiple choice questions. (Questions 15 to 20) Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Mark your response in OMR sheet against the question number of that question. + 4 marks will be given for each correct answer and –1 mark for each wrong answer.
Passage # 1 (Ques. 15 to 17)
A narrow tube is bent in the form of circle of radius R as shown. Two small holes S and D are made in the tube at the positions right angles to each other. A source placed at S generates a wave of intensity I0
which is equally divided into two parts. One part travels along the longer path, while the other travels along the shorter path. Both the part waves meet at point D where a detector is placed.
D S R
15. Maximum intensity produced at D is given by -
(A) 4I0 (B) 2I0
(C) 3I0 (D) I0
16. The maximum value of wavelength λ to produce a maximum at D its given by -
17. The maximum value of wavelength λ to produce a minimum at D is given by -
A metal sphere of radius R, carrying charge q1 is surrounded by a thick concentric metal shell (inner radius a, outer radius b). The shell carries no net charge.
19. The potential at the centre, using infinity at the reference point : (potential is zero at infinity)
(A)
20. Now the outer surface is touched to a grounding wire, which lowers its potential to zero. Now the potential at the centre : (Assume at infinity also potential is zero)
This section contains 2 questions (Questions 21, 22).
Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in Column I have to be matched with statements (P, Q, R, S) in Column II. The answers to these questions have to be appropriately bubbled as illustrated in the following example. If the correct matches are A-P, A-S, B-Q, B-R, C-P, C-Q and D-S, then the correctly bubbled 4 × 4 matrix should be as follows :
A B C D
P
Q R S
S P
P P Q R
R R Q Q
S S P Q R S
Mark your response in OMR sheet against the question number of that question in section-II. + 6 marks will be given for complete correct answer and No Negative marks for wrong answer. However, 1 mark will be given for a correctly marked answer in any row.
21. Match Column-I with Column-II in the light of possibility of occurrence of phenomena listed in Column-I using the systems in Column-II
Column-I Column-II
(A) Interference (P) Non-mechanical waves (B) Diffraction (Q) Electromagnetic waves (C) Polarisation (R) Visible light waves (D) Reflection (S) Sound waves
22. A satellite is revolving around earth in a circular orbit of m radius r0 with velocity v0. a particle of mass is projected from satellite in forward direction with relative velocity v =
–1 4
5 v0. During subsequent motion of particle match the following (assume M = mass of earth)
Column-I Column-II
(A) Magnitude of total energy of (P) 8 0
3 r GMm
Patrticle
(B) Minimum distance of particle (Q) r0 from earth
(C) Maximum distance of particle (R) 5 3r0
from eath
(D) Minimum kinetic energy of (S) r0
8 GMm 5
particle
CHEMISTRY
Questions 1 to 9 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE is correct. Mark your response in OMR sheet against the question number of that question. + 3 marks will be given for each correct answer and – 1 mark for each wrong answer.
1. The equilibrium constant for the reaction in aqueous solution –
H3BO3 + glycerin (H3BO3 – glycerin) is 0.90.
How many moles of glycerin should be added per litre of 0.10 M H3BO3 so that 80% of the H3BO3 is converted to the boric acid glycerin complex ? (A) 0.08 (B) 4.44 (C) 4.52 (D) 3.6
2. If optical rotation produced by the compound (i) is –30°, then rotation produced by compound (ii) is
(i)
CH3
H OH
HO H
CH3
(ii)
CH3 H OH H OH
CH3
(A) + 30° (B) –30°
(C) zero (D) unpredictable
3. A mixture of CO and CO2 having a volume of 20 ml is mixed with x ml of oxygen and electrically sparked. The volume after explosion is (16 + x) ml under the same conditions. What would be the residual volume if 30 ml of the original mixture is treated with aqueous NaOH ?
• (A) 12 ml (B) 10 ml
• (C) 9 ml (D) 8 ml
4. Rutherford’s experiment, which estabilished the nuclear model of the atom, used a beam of -
(A) β–particles, which impinged on a metal foil and got absorbed
(B) γ–rays, which impinged on a metal foil and ejected electrons
(C) helium atoms, which impinged on a metal foil and got scattered
(D) helium nuclei, which impinged on a metal foil and got scattered
5. The correct order of acidic strength is – (A) Cl2O7>SO2>P4O10
(B) CO2>N2O5 <SO3 (C) Na2O>MgO>Al2O3
(D) K2O>CaO>MgO
6. A reaction follows the given concentration (C) vs time graph. The rate for this reaction at 20 seconds will be –
0.5 0.4
0.3 0.2 0.1
0 20 40 60 80 100 Time/second
(A) 4 × 10–3 Ms–1 (B) 8 × 10–2 Ms–1 (C) 2 × 10–2 Ms–1 (D) 7 × 10–3 Ms–1 7. The potential of the Daniell cell,
Zn (1M) ZnSO4
) M 1 ( CuSO4
Cu was reported by Buckbee, Surdzial, and Metz as
Eº = 1.1028 – 0.641 × 10–3 T + 0.72 × 10–5 T2, where T is the celcius temperature. Calculate ∆Sº for the cell reaction at 25º C –
(A) – 45.32 (B) – 34.52 (C) – 25.43 (D) – 54.23
8. In a hypothetical solid C atoms form CCP lattice with A atoms occupying all the Tetrahedral voids and B atoms occupying all the octahedral voids. A and B atoms are of the appropriate size such that there is no distortion in the CCP lattice. Now if a plane is cut (as shown) then the cross section would like –
Plane
CCP unit cell
(A)
C C
C C
B
B B B
A
A
B
(B)
C C
C
B B B
C C
C C
(C) C
C
B B B
C C
C C
A A A A
(D)
C C
C
B B B
C C
C C
9. The favourable conditions for a spontaneous reactions are-
(A) T ∆S > ∆H, ∆H = ⊕, ∆S = ⊕ (B) T ∆S > ∆H, ∆H = ⊕, ∆S = Θ (C) T ∆S = ∆H, ∆H = Θ, ∆S = Θ (D) T ∆S = ∆H, ∆H = ⊕, ∆S = ⊕
Questions 10 to 14 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which MULTIPLE (ONE OR MORE THAN ONE) is correct. Mark your response in OMR sheet against the question number of that question. + 4 marks will be given for each correct answer and –1 mark for each wrong answer.
10. A sample of water has a hardness expressed as 77.5 ppm Ca2+. This sample is passed through an ion exchange column and the Ca2+ is replaced by H+. Select correct statement(s)
(A) pH of the water after it has been so treated is 2.4 (B) Every Ca2+ ion is replaced by one H+ ion (C) Every Ca2+ ion is replaced by two H+ ions (D) pH of the solution remains unchanged
11. Consider a sample of He gas and Ne gas both at 300 K and 1 atmosphere. Assuming ideal behaviour which of the following quantities are equal for two samples ?
(A) Root mean square speed of molecules
(B) Mean translational kinetic energy of molecules (C) Number density of molecules
(D) Kinetic energy of molecules
12. Which of the following samples of reducing agents is/are chemically equivalent to 25 mL of 0.2 N KMnO4, to be reduced to Mn2+ + H2O ?
(A) 25 mL of 0.2 M FeSO4 to be oxidized to Fe3+
(B) 50 mL of 0.1 MH3AsO3 to be oxidized to H3AsO4
(C) 25 mL of 0.2 M H2O2 to be oxidized to H+ and O2
(D) 25 mL of 0.1 M SnCl2 to be oxidized to Sn4+
13. Which of the following statement is/are correct ? (A) [Ni(CO)4] is tetrahedral, paramagnetic, sp3
hybridised
(B) [Ni(CN)4]2– is square planar, diamagnetic, dsp2 hybridised
(C) [Ni(CO)4] is tetrahedral, diamagnetic, sp3 hybridised
(D) [NiCl4]2– is tetrahedral, paramagnetic, sp3 hybridised
14. Consider the reaction
C – OH O
EtOH ) ( NH , Na3
→
l A
2 2
2 3
Cl CH
S Me , O→
B + C
D ∆ Identify the correct representation of structure of the products -
(A) A is
COOH
(B) The intermediate formed in the conversion of B to D is enol
(C) The structure of C is O O
(D) A can also be formed from the reaction
This section contains 2 paragraphs; each has 3 multiple choice questions. (Questions 15 to 20) Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Mark your response in OMR sheet against the question number of that question. + 4 marks will be given for each correct answer and –1 mark for each wrong answer.
Passage # 1 (Ques. 15 to 17)
218
85
15
56
473 K 573 K 647 K
673 K J
G F C
A H 1 Pressure
in atm
Vm (in cm3/mol) B E
In the given figure P-Vm isotherm of H2O is shown.
The line (……) represent, the vanderwaals plot for H2O at 473 K. The vanderwaals constant of H2O is represented by a and b.
15. What is the equation of the dotted line (- - - ) A I C F B ?
(A) =0
m T
dV
dP and 0
dV P d
T m2 2 =
(B) P =
+
m Vm
b V
a 2
2 1
(C) P =
m Vm
b V
a2 1– 2
(D)
m T
dV P d
2 2
= 0
16 As per the vanderwaals line I H G F (- - - -) which of the following section against the behaviour of gas-
(A) I H (B) H G
(C) G F (D) All of the given 17. For H2O which of the following is / are correct- (A) For H2O, compressibility factor (Zc) is equal to
0.23.
(B) For H2O, compressibility factor (Zc) is lesser than 0.375 because of stronger intermolecular attraction among H2O molecules.
(C) For H2O if reduced pressure, reduced volume and reduced temperature are 20, 0.6 and 2 respectively then intermolecular force of repulsion predominate over intermolecular H-bonding among H2O molecules.
(D) All of the above are correct.
Passage # 2 (Ques. 18 to 20)
A useful method to convert oxime to substituted amide is Beckmann rearrangement which occurs through following steps,
Ph
C = N
CH3 OH (I)
H→
+ Ph
C = N
Me OH+ 2
) II (
O H2
→
− CH3−C⊕=N−Ph
) III (
O H →2
CH3 –C = N–Ph OH
(IV) CH3 –C–NH–Ph O
18. Rate determining step in Beckmann rearrangement is