Which of the following compounds can exhibit geometrical isomerism, and why?
1) 2-butene
2) 1-butene ?
3) Pent-2-ene
4) But-2-yne
Understanding Geometrical Isomerism:
Geometrical (cis-trans) isomerism is a type of stereoisomerism that arises due to the restricted rotation around a double bond (C=C).
For geometrical isomerism to occur:
• The molecule must contain a C=C double bond.
• Each carbon involved in the double bond must be attached to two different groups.
Let’s evaluate each option:
1) 2-butene (CH3CH=CHCH3)
- Each double-bonded carbon has different groups attached (CH3 and H).
Can exhibit geometrical isomerism (cis and trans forms).
2) 1-butene (CH2=CHCH2CH3)
- The terminal carbon of the double bond has two hydrogen atoms attached.
Cannot exhibit geometrical isomerism.
3) Pent-2-ene (CH3CH=CHCH2CH3)
- Both double-bonded carbons are bonded to different groups.
Can exhibit geometrical isomerism.
4) But-2-yne (CH3C≡CCH3)
- Triple bonds do not allow geometrical isomerism as they are linear and have no restricted rotation about C≡C.
Cannot exhibit geometrical isomerism.
Therefore:
Only compounds 1 (2-butene) and 3 (pent-2-ene) can show geometrical isomerism.
Final Answer: Option 2: Only 1 and 3
The compounds and constitute a pair of:
The integral is:
If a random variable X has the following probability distribution values:
X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|---|
P(X) | 1/12 | 1/12 | 1/12 | 1/12 | 1/12 | 1/12 | 1/12 | 1/12 |
Then P(X ≥ 6) has the value: