Class 12th

Consider the following sulphur based oxoacids.

H₂SO₃, H₂SO₄, H₂S₂O₈ and H₂S₂O₇.

Amongst these oxoacids, the number of those with peroxo (O-O) bond is______________.

Sum of oxidation state (magnitude) and coordination number of cobalt in $Na\left[Co\left(bpy\right)C{l}_4\right]$  is___________.

For the curve C : $\left(x^2+y^2-3\right)+{\left(x^2-y^2-1\right)}^5=0,$  the value of $3y\text{'}-y^{3}y",$  at the point (a, a), a > 0, on C, is equal to……….

Assuming 1 $\mu g$ of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is __________* 10^-1 $\mu g$  

[Given: In 10 = 2.303; log 2 = 0.30]

A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is $ta{n}^{-1}\frac{3}{4}.$  Water is poured in it a constant rate of 6 cubic meter per hour. The rate (in square meter per hour), at which the wet curved surface area of the tank is increasing, when the depth of water in the tank is 4 meters, is……….

For a cell,   $Cu\left(s\right)\left|C{u}^{2+}\left(0.001M\right)\right|\left|A{g}^{+}\left(0.01M\right)\right|Ag\left(s\right)$

The cell potential is found to be 0.43V at 298 K. The magnitude of standard electrode potential for Cu²⁺ / Cu is______________ * 10^-2V.

$\left[Given:E_{A{g}^{+}/Ag}^{\Theta }=0.80Vand\frac{2.303RT}{F}=0.06V\right]$            

 1.80g of solute A was dissolved in 62.5cm³ of ethanol and freezing point of the solution was found to be 155.1 K . The molar mass of solute A is __________g mol^-1.

[Given: Freezing point of ethanol is 156.0 K. Density of ethanol is 0.80 g cm^-3. Freezing point depression constant of ethanol is 2.00 K kg mol^-1]

Consider a matrix A = $\left[\begin{array}{ccc}\hfill \alpha \hfill & \hfill \beta \hfill & \hfill \gamma \hfill \\ \hfill {\alpha }^2\hfill & \hfill {\beta }^2\hfill & \hfill {\gamma }^2\hfill \\ \hfill \beta +\gamma \hfill & \hfill \gamma +\alpha \hfill & \hfill \alpha +\beta \hfill \end{array}\right]$ $\begin{array}{ccc}\hfill \hfill & \hfill \hfill & \hfill \hfill \\ \hfill {}^{}\hfill & \hfill {}^{}\hfill & \hfill {}^{}\hfill \\ \hfill \hfill & \hfill \hfill & \hfill \hfill \end{array}$ , where , , $\gamma$  $$ are three distinct natural numbers.

If $\frac{det\left(adj\left(adj\left(adj\left(adjA\right)\right)\right)\right)}{{\left(\alpha -\beta \right)}^{16}{\left(\beta -\gamma \right)}^{16}{\left(\gamma -\alpha \right)}^{16}}=2^{32}*3^{16},$ $\frac{}{{}^{}{}^{}{}^{}}{}^{}{}^{}$ then the number of such 3 – tuples (, , $\gamma$ $$ ) is…………

In the below reaction, 5g of toluene is converted into benzaldehyde with 92% yield. The amount of benzaldehyde produced is____________* 10^-2 g. (Nearest integer)

The spin only magnetic moment of the complex present in Fehling's reagent is __________B.M.

(Nearest Integer)