How many signals would you expect each of the following molecules to have in its ${}^1\mathrm{H}$and ${}^{13}C$spectra?

a.

b.

c.

d.

e.

f.

Nuclear magnetic resonance is a method which is used to identify the number and type of hydrogen whether equivalent or non-equivalent in compound and produce the corresponding peaks for its detection.

The proton which are having a different environment and all protons give different peaks is the non-equivalent proton whereas the proton sharing the same environment and all protons giving the same singles or peaks are the equivalent protons.

As seen in the compound all the proton of the methyl group are equivalent proton that is surrounded by the same environment and the carbon show 2 signal 1 due to the carbon showing an unsaturation bond and another one of the methyl .

As seen in the molecule the methyl proton having 6 equivalent hydrogen produces 1 single, next carbon represented by 2 produces 1 signal and the carbon 3 produce 1 signal and carbon 4 produce a different signal due to the non-equivalent protons and the 5^th carbon od carbonyl from 1 signal. So, carbon produces 5 signals.

Signals by hydrogen both methyl group produce 1 signal and methylene group next to methyl represented by 2 produce 1 signal as the other methylene group attached to methylene group represented by 5 produce 1 signal as shown:

As seen in the molecule the carbon produces 2 signal 1 due to the methyl group and there to the carbonyl group.

The hydrogen produces only 1 signal because all the hydrogen of the methyl group is equivalent as shown below:

As seen in the molecule carbon produce 4 signal the 1 signal due to the terminal methyl group and the 1 due to the carbonyl carbon and the other 2 due to the 2-methylene group because both share different environment.

Hydrogen produces 2 signals one due to the methyl hydrogen having the same environment and the other due to methylene hydrogen as shown:

As per the molecule, it is clearly visible that the carbon produces 3 signals one due to the methyl group and the other due to the methylene carbon a, and the last due to the 2^nd methylene carbon next to methylene carbon.

Hydrogen shows 2 signals one due to the methyl hydrogen and the other due to the methylene hydrogen as shown:

As per the molecule, carbon produces 3 signals 1 due to the methyl carbon and the other 2 due to methylene carbons.

Hydrogen produces 2 signals one due to the methyl hydrogen and the other due to the methylene hydrogen as shown: