Select the incorrect statement.
( i ) The essence of the Darwinian theory of evolution in natural selection
(ii) Evolution is a directed process in the sense of determinism
(III) The geological history of the earth is not related to the biological history of the earth
(IV ) During evolution ,the rate of appearance of new forms is linked to the life cycle

Options

A. (i) and (ii)
B. (ii) and (iii)
C. (i) and (iv)
D. (ii) and (iv)

Answer

To solve the question, we need to evaluate each of the statements provided and identify which one is incorrect.

### Step 1: Analyze Statement (i)
**Statement (i):** "The essence of the Darwinian theory of evolution is natural selection."
- This statement is **correct**. Darwin's theory fundamentally revolves around the concept of natural selection, where organisms that are better adapted to their environment tend to survive and reproduce.

**Hint for Step 1:** Remember that Darwin's theory primarily focuses on natural selection as the mechanism of evolution.

### Step 2: Analyze Statement (ii)
**Statement (ii):** "Evolution is a directed process in the sense of determinism."
- This statement is **incorrect**. Evolution is not a directed process; it is influenced by random mutations and environmental factors. There is no predetermined outcome in evolution.

**Hint for Step 2:** Consider how evolution involves random mutations rather than a predetermined path.

### Step 3: Analyze Statement (iii)
**Statement (iii):** "The geological history of the earth is not related to the biological history of the earth."
- This statement is **incorrect**. Geological history and biological history are interconnected. The Earth's geological changes have influenced the evolution and distribution of life forms.

**Hint for Step 3:** Think about how geological events, like continental drift, affect the evolution of species.

### Step 4: Analyze Statement (iv)
**Statement (iv):** "During evolution, the rate of appearance of new forms is linked to the life cycle."
- This statement is **correct**. The appearance of new forms is often linked to the life cycles of organisms, as changes can accumulate over generations.

**Hint for Step 4:** Reflect on how evolutionary changes can occur over multiple generations and are often tied to reproductive cycles.

### Conclusion
After analyzing all the statements, we find that statements (ii) and (iii) are incorrect. However, since the question asks for a single incorrect statement, we can conclude that:

- The most clearly incorrect statement is **(ii)**: "Evolution is a directed process in the sense of determinism."

### Final Answer
The incorrect statement is **(ii)**.