The value of cot (cosec^-1 5/3 + tan^-1 2/3) is

1) 4/17
2) 5/17
3) 6/17
4) 3/17

The minimum voltage needed to carry out electrolysis in the reaction is 

 (F= 96500 Cmol^-1)
 

1) 2.14
2) 4.28
3) 6.42
4) 8.56

How many stereoisomers are therefor tartaric acid?

1) 2
2) 3
3) 4
4) 5

The compound if contains an even number 'n' of chiral carbons, but the molecule can be divided into two equal and si,ilar halves , then how many optical active form it will have :

1) 2ⁿ
2) 2⁽ⁿ⁻¹⁾
3) 2^(n−1)/2
4) 2⁽ⁿ⁻¹⁾−2^(n−1)/2

The area of the region described by $$\left\{ \left( x,y \right) /{ x }^{ 2 }+{ y }^{ 2 }\le and\quad  { y }^{ 2 }\le 1-x \right\} $$ is

1) $$\frac { \pi }{ 2 } -\frac { 2 }{ 3 } $$

2) $$\frac { \pi }{ 2 }+\frac { 2 }{ 3 } $$

3) $$\frac { \pi }{ 2 } +\frac { 4 }{ 3 } $$

4) $$\frac { \pi }{ 2 } -\frac { 4 }{ 3 } $$

A monochromatic light of frequency $$v = \frac{1}{6.63} \times 10^{16}$$ Hz is produced by a laser. The power emitted is $$P = 10^{-2}$$ W. The average number of photos per second emitted by the source is

1) $$\frac{1}{(6.63)^2} \times 10^{16}$$
2) $$(6.63)^2 \times 10^{16}$$
3) $$10^{20}$$
4) $$10^{16}$$

The number of S-S bonds in sulphur trioxide trimer, (S₃O₉) is

1) 3
2) 2
3) 1
4) 0

 Marsh test is used for

1)  arsenic

2)  potassium

3)  barium

4)  aluminium

The solubility product of PbI₂ is 7.47×10⁻⁹ at 15^oC and 1.39×10⁻⁸ at 25^oC. Calculate the molar heat of solution of PbI₂.

1) 443KJ/mol
2) 0.443KJ/mol
3) 4.43KJ/mol
4) 44.3KJ/mol

A biased coin with probability $$p$$, (0$$< p < $$1) of showing head is tossed until a head appears for the first time. If the probability that the number of tosses required is odd is $$\displaystyle \frac{7}{11}$$  then $$p$$ =

The name written on the card is the name of a boy.

1) $$\displaystyle \frac{4}{7}$$
2) $$\displaystyle \frac{3}{7}$$
3) $$\displaystyle \frac{4}{11}$$
4) $$\displaystyle \frac{2}{3}$$