1
IIT-JEE 1992
Subjective
+4
-0
For the galvanic cell
Ag | AgCl(s), KCl (0.2M) || KBr (0.001M), AgBr(s) | Ag
Calculate the EMF generated and assign correct polarity to each electrode for a spontaneous process after taking into account the cell reaction at 25oC.
[Ksp(AgCl) = 2.8 $$times$$ 10-10; Ksp(AgBr) = 3.3 $$times$$ 10-13]
2
IIT-JEE 1992
Subjective
+3
-0
An aqueous solution of NaCl on electrolysis gives H2(g), Cl2(g) and NaOH according to the reaction:
2Cl- (aq) + 2H2O = 2OH- (aq) + H2 (g) + Cl2 (g)
A direct current of 25 amperes with a current efficiency of 62 % is passed through 20 litres of NaCl solution (20% by weight). Write down the reactions taking place at the anode and cathode. How long will it take to produce 1kg of Cl2? What will be the molarity of the solution with respect to hydroxide ion? (Assume no loss due to evaporation)
3
IIT-JEE 1992
MCQ (Single Correct Answer)
+2
-0.5
In this questions there are entries in columns 1 and 2. Each entry in column 1 is related to exactly one entry in column 2. Write the correct letter from column 2 against the entry number in column 1 in your answer book.

$${{\sin \,3\alpha } \over {\cos 2\alpha }}$$ is

Column $${\rm I}$$

(A) positive

(B) negative

Column $${\rm I}$$$${\rm I}$$

(p) $$\left( {{{13\pi } \over {48}},{{14\pi } \over {48}}} \right)$$

(q) $$\left( {{{14\pi } \over {48}},\,{{18\pi } \over {48}}} \right)$$

(r) $$\left( {{{18\pi } \over {48}},\,{{23\pi } \over {48}}} \right)$$

(s) $$\left( {0,\,{\pi \over 2}} \right)$$

Options:-

A
$$\left( A \right) - r,\,\left( B \right) - q$$
B
$$\left( A \right) - r,\,\left( B \right) - p$$
C
$$\left( A \right) - s,\,\left( B \right) - r$$
D
$$\left( A \right) - p,\,\left( B \right) - q$$
4
IIT-JEE 1992
MCQ (Single Correct Answer)
+2
-0.5
$${\rm{z }} \ne {\rm{0}}$$ is a complex number

Column I


(A) Re z = 0
(B) Arg $$z = {\pi \over 4}$$

Column II


(p) Re$${z^2}$$ = 0
(q) Im$${z^2}$$ = 0
(r) Re$${z^2}$$ = Im$${z^2}$$
A
(A) - q, (B) - p
B
(A) - p, (B) - q
C
(A) - r, (B) - p
D
(A) - p, (B) - r
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