



In an enzyme-catalyzed reaction, the velocity of the reaction increases with increasing substrate concentration until the enzyme becomes saturated. At saturation, all active sites of the enzyme are occupied by substrate molecules, and the reaction reaches its maximum velocity (Vmax). Further increases in substrate concentration do not increase the velocity because there are no free active sites available.
This relationship is described by the Michaelis-Menten equation and is graphically represented by a hyperbolic curve, as shown in option (1).
Match the LIST I (Enzyme) with LIST II (Catabolic Products)
| LIST-I | LIST-II | ||
|---|---|---|---|
| (Enzyme) | (Catabolic Products) | ||
| A | \(\beta\)-galactosidase | III | Galactose + glucose |
| B | Lecithinase | I | Choline + H$_3$PO$_4$ + fat |
| C | Urease | IV | CO$_2$ + NH$_3$ |
| D | Lipase | II | Glycerol + fatty acids |
Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity) 
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
Among the following, choose the ones with an equal number of atoms.
Choose the correct answer from the options given below:
In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency ω(t) and average amplitude A(t) of the system change with time t. Which one of the following options schematically depicts these changes correctly? 