Is this your mother?

Yes, It is.

In the short dialogue. "This your" is pronounced as a linking sound just like one word.
Look at the short answer. "It is' is pronounced as a linking sound as well. It is pronounced like one word.
Repeat after me.
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Would you check whether my explanation is correct?
Do I have to use 'as' after pronounced? Is the expression 'linking sound' correct?

Yes, the explanation is correct, and yes, you need the word "as."

The term "linking sound" is good for these particular words. It's good for you do differentiate between this fast-linking pronunciation and actual elision (the sliding of sounds together) such as when the word "the" loses its "e" sound in front of some words.

You can check on "elision" here:
http://www.answers.com/elision

=)

Your explanation is mostly correct! However, there are a few adjustments that can be made.

In the short dialogue, "this your" is not actually pronounced as a single word or a linking sound. Instead, each word is pronounced separately.

So, instead of saying, "This your" as one word, it should be pronounced as "This" (pronounced as /ðɪs/) and "your" (pronounced as /jɔːr/ or /jʊər/ depending on the accent).

Similarly, in the short answer, "it is" is not pronounced as a linking sound or as one word. Each word is pronounced separately. So, "it" would be pronounced as /ɪt/ and "is" would be pronounced as /ɪz/.

Regarding the use of 'as' after pronounced, it is not necessary in this context. You can simply say, "It is pronounced like one word."

However, if you were to use 'as', you could say, "Each word is pronounced separately, as 'it is'."

Lastly, the term "linking sound" is not typically used in this context. Instead, you can describe the pronunciation as "pronouncing each word separately."

To summarize, this is how you can improve your explanation:

In the short dialogue, "this your" is pronounced as two separate words: "this" /ðɪs/ and "your" /jɔːr/ or /jʊər/ (depending on the accent).

Similarly, in the short answer, "it is" is pronounced as two separate words: "it" /ɪt/ and "is" /ɪz/.

So, you could say, "Each word is pronounced separately. It is not pronounced as one word or as a linking sound. For example, 'this your' is pronounced as 'this' and 'your', while 'it is' is pronounced as 'it' and 'is'."

I hope this helps clarify things for you!