Which among the following oxoacids of phosphorus will have P-O-P bonds?
I. H4P2O5
II. H4P2O6
III. H4P2O7
IV. (HPO3)3
\(II, IV\)
The phosphorus oxoacids \(\text{H}_4\text{P}_2\text{O}_7\) and (\(\text{HPO}_3\))\(_3\) contain P-O-P bonds in their molecular structure. These acids have phosphoric acid groups that form bonds between phosphorus atoms, creating a P-O-P linkage. The oxoacids \(\text{H}_4\text{P}_2\text{O}_5\) and \(\text{H}_4\text{P}_2\text{O}_6\) do not form P-O-P bonds in their molecular structures.
1 g of \( XY_2 \) is dissolved in 20 g of \( C_6H_6 \). The \( \Delta T_f \) of the resultant solution is 2.318 K.
When 1 g of \( XY_4 \) is dissolved in 20 g of \( C_6H_6 \), its \( \Delta T_f \) is found to be 1.314 K.
What are the atomic masses of X and Y respectively?
(\( k_f \) of \( C_6H_6 \) is 5.1 K kg \( mol^{-1} \))
What is $R_f$ of B in the following reaction?
A constant force of \[ \mathbf{F} = (8\hat{i} - 2\hat{j} + 6\hat{k}) \text{ N} \] acts on a body of mass 2 kg, displacing it from \[ \mathbf{r_1} = (2\hat{i} + 3\hat{j} - 4\hat{k}) \text{ m to } \mathbf{r_2} = (4\hat{i} - 3\hat{j} + 6\hat{k}) \text{ m}. \] The work done in the process is:
A ball 'A' of mass 1.2 kg moving with a velocity of 8.4 m/s makes a one-dimensional elastic collision with a ball 'B' of mass 3.6 kg at rest. The percentage of kinetic energy transferred by ball 'A' to ball 'B' is:
A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 9 g, are kept one above the other at the 10 cm mark, the scale is found to be balanced at 35 cm. The mass of the metre scale is:
A body of mass \( m \) and radius \( r \) rolling horizontally with velocity \( V \), rolls up an inclined plane to a vertical height \( \frac{V^2}{g} \). The body is: