Which of the following reactions is the metal displacement reaction? Choose the right option.
Noble gases have large positive values of electron gain enthalpy
Noble gases are sparingly soluble in water
Noble gases have very high melting and boiling points
Noble gases have weak dispersion forces
First, let's clarify the concept of a metal displacement reaction. In chemistry, a metal displacement reaction is a type of redox reaction. It involves a metal in a compound being displaced by another metal. This typically occurs because the displacing metal is more reactive than the metal being displaced. A typical example is when zinc displaces copper from copper sulfate solution:
\(Zn + CuSO_4 \rightarrow ZnSO_4 + Cu \)
Now, examining the given options, none of them are related to metal displacement reactions. In fact, all four options describe properties of noble gases:
Based on the above explanations, none of the options provided describe a metal displacement reaction. The correct option related to properties of noble gases was incorrectly identified. The correct factual statement about noble gases is:
This reinforces the understanding that noble gases typically have low melting and boiling points. Conclusively, if we are strictly discussing the options' correctness, it would be option mentioning weak dispersion forces relative to noble gases.
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is : 
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:
The rate of a chemical reaction is defined as the change in concentration of any one of the reactants or products per unit time.
Consider the reaction A → B,
Rate of the reaction is given by,
Rate = −d[A]/ dt=+d[B]/ dt
Where, [A] → concentration of reactant A
[B] → concentration of product B
(-) A negative sign indicates a decrease in the concentration of A with time.
(+) A positive sign indicates an increase in the concentration of B with time.
There are certain factors that determine the rate of a reaction: