The correct order of radiii is/are:

Options

A. `Pb gt Pb^(2+) gt Pb^(4+)`
B. `In^(+) gt Sn^(2+) gt Sb^(3+) gt Te^(4+)`
C. `Co gt Ni gt Cu gt Zn`
D. `K^(+) gt Li^(+) gt Mg^(2+) gt Al^(3+)`

Explanation

To determine the correct order of radii for the given elements, we need to analyze the trends in atomic radii across periods and down groups in the periodic table. Here’s a step-by-step breakdown of the solution:

### Step 1: Understanding Atomic Radius
The atomic radius is the distance from the nucleus to the outermost shell of electrons. It generally decreases across a period from left to right due to increasing nuclear charge, which pulls the electrons closer to the nucleus. Conversely, it generally increases down a group due to the addition of electron shells.

### Step 2: Analyzing Lead (Pb) and its Ions
1. **Neutral Lead (Pb)**: This has the largest radius because it has the most electrons.
2. **Lead(II) Ion (Pb²⁺)**: When two electrons are removed, the radius decreases because there is less electron-electron repulsion and the effective nuclear charge increases.
3. **Lead(IV) Ion (Pb⁴⁺)**: Removing two more electrons results in an even smaller radius for the Pb⁴⁺ ion.

**Order**: Pb > Pb²⁺ > Pb⁴⁺

### Step 3: Analyzing Indium (In), Tin (Sn), Antimony (Sb), and Tellurium (Te)
1. **Indium (In)**: Has the largest radius among these because it is the furthest left in the group.
2. **Tin (Sn)**: Smaller than In due to increased nuclear charge.
3. **Antimony (Sb)**: Smaller than Sn.
4. **Tellurium (Te)**: The smallest among these due to the highest nuclear charge.

**Order**: In > Sn > Sb > Te

### Step 4: Analyzing Cobalt (Co), Nickel (Ni), Copper (Cu), and Zinc (Zn)
1. **Cobalt (Co)**: Largest radius in this group.
2. **Nickel (Ni)**: Smaller than Co.
3. **Copper (Cu)**: Smaller than Ni.
4. **Zinc (Zn)**: The smallest radius due to the highest nuclear charge.

**Order**: Co > Ni > Cu > Zn

### Step 5: Analyzing Potassium (K), Magnesium (Mg), Lithium (Li), and Aluminum (Al)
1. **Potassium (K)**: Largest radius because it is at the bottom of the group.
2. **Magnesium (Mg)**: Smaller than K.
3. **Lithium (Li)**: Smaller than Mg.
4. **Aluminum (Al)**: The smallest among these.

**Order**: K > Mg > Li > Al

### Conclusion
The correct orders of radii for the given elements are:
1. Pb > Pb²⁺ > Pb⁴⁺
2. In > Sn > Sb > Te
3. Co > Ni > Cu > Zn
4. K > Mg > Li > Al