Statement-1: Carbocationic rearrangement is known as electrophilic rearrangement
and
Statement-2: Carbocations are stabilized by both hyperconjugation and +I effect.

Options

A. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1
B. (b) Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1
C. (c) Statement -1 is true, Statement -2 is false
D. (d) Statement -1 is false, Statement -2 is true

Answer

To analyze the statements provided in the question, we will evaluate each statement step by step.

### Step 1: Evaluate Statement-1
**Statement-1:** Carbocationic rearrangement is known as electrophilic rearrangement.

**Analysis:**
- Carbocationic rearrangement refers to the process where a carbocation (a positively charged carbon species) undergoes structural changes to achieve a more stable configuration. This can involve shifts such as hydride shifts or alkyl shifts.
- Electrophilic rearrangement typically refers to reactions where an electrophile (a species that accepts an electron pair) is involved in the rearrangement.
- While carbocation rearrangements do involve electrophilic species, the term "electrophilic rearrangement" is not commonly used to describe carbocation rearrangements specifically.

**Conclusion:** Statement-1 is **incorrect**.

### Step 2: Evaluate Statement-2
**Statement-2:** Carbocations are stabilized by both hyperconjugation and +I effect.

**Analysis:**
- Carbocations are indeed stabilized by hyperconjugation, which involves the interaction of the empty p-orbital of the carbocation with adjacent C-H or C-C sigma bonds. This electron donation helps to disperse the positive charge.
- The +I effect (positive inductive effect) refers to the electron-donating ability of alkyl groups. Alkyl groups can stabilize the positive charge on a carbocation by donating electron density through sigma bonds, reducing the overall positive charge density.
- Both hyperconjugation and the +I effect contribute to the stability of carbocations.

**Conclusion:** Statement-2 is **correct**.

### Final Conclusion
- Statement-1 is incorrect.
- Statement-2 is correct.

Thus, the answer to the question is that Statement-1 is false and Statement-2 is true.