Compare the pysical properties (`mu`,b.p, m.p., & stability) in the geometrical isomers of `CH_2-CH=CH-CN`.Choose from the following options:

Options

A. `{:(mu,b.p,m.p.,"stability"),(cisgttrans,cisgttrans,transgt cis,transgtcis):}`
B. `{:(mu,b.p,m.p.,"stability"),(cisgttrans,transgtcis,transgt cis,transgtcis):}`
C. `{:(mu,b.p,m.p.,"stability"),(cisgttrans,cisgttrans,transgt cis,cisgttrans):}`
D. `{:(mu,b.p,m.p.,"stability"),(transgtcis,transgtcis,transgt cis,transgtcis):}`

Explanation

To compare the physical properties (dipole moment, boiling point, melting point, and stability) of the geometrical isomers of `CH2=CH-CH-CN`, we will analyze the cis and trans forms of the compound step by step.

### Step 1: Draw the Structures
1. **Cis Isomer**: In the cis isomer, the CN group and the CH3 group are on the same side of the double bond.
- Structure:
```
H CN
\ /
C
/ \
CH2 CH
```

2. **Trans Isomer**: In the trans isomer, the CN group and the CH3 group are on opposite sides of the double bond.
- Structure:
```
CN
|
C
/ \
CH2 CH
\
H
```

### Step 2: Compare Dipole Moments
- **Cis Isomer**: The dipole moments from the CH3 to the CN will partially cancel out due to their orientation. The overall dipole moment will be lower.
- **Trans Isomer**: The dipole moments from CH3 to CN will add up, resulting in a higher overall dipole moment.
- **Conclusion**: The dipole moment of the trans isomer is greater than that of the cis isomer.

### Step 3: Compare Boiling Points
- The boiling point is influenced by the dipole moment; higher dipole moments lead to stronger intermolecular forces.
- **Cis Isomer**: Lower dipole moment results in weaker intermolecular forces, leading to a lower boiling point.
- **Trans Isomer**: Higher dipole moment results in stronger intermolecular forces, leading to a higher boiling point.
- **Conclusion**: The boiling point of the trans isomer is greater than that of the cis isomer.

### Step 4: Compare Melting Points
- The melting point is affected by the packing efficiency of the molecules in the solid state.
- **Cis Isomer**: Poor packing due to steric hindrance leads to a lower melting point.
- **Trans Isomer**: Better packing due to less steric hindrance leads to a higher melting point.
- **Conclusion**: The melting point of the trans isomer is greater than that of the cis isomer.

### Step 5: Compare Stability
- Stability is influenced by steric hindrance.
- **Cis Isomer**: The proximity of the CH3 and CN groups leads to steric hindrance, making it less stable.
- **Trans Isomer**: The CH3 and CN groups are further apart, leading to less steric hindrance and greater stability.
- **Conclusion**: The trans isomer is more stable than the cis isomer.

### Final Summary
- **Dipole Moment**: Trans > Cis
- **Boiling Point**: Trans > Cis
- **Melting Point**: Trans > Cis
- **Stability**: Trans > Cis