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Sentence 1: 先生、この歌をお聞きになったことがありますか。  
  
I thought it can just be  
Sentence 2: 先生、この歌をお聞きになりましたか。

Is sentence 2 wrong? If it's not, what's the difference in nuance between
those two?
CC BY-SA 3.0
2016-07-13T02:17:20.893
36619
2016-07-13T04:20:38.987
13611
question
grammar usage
what nuance does ことがありますか add in this sentence?
The two sentences in your example have slightly different meanings.

```

    Sentence 1: 先生、この歌をお聞きになったことがありますか。   
    
```

You might say this to ask the teacher if he/she had had the experience of
hearing the song in the past. In _other_ words, "Are you familiar with this
song?" or "Do you know this song?"

```

    Sentence 2: 先生、この歌をお聞きになりましたか。  
    
```

You might say this to ask the teacher if he/she had simply physically heard
the song with their ears. So, maybe you're playing a tune and before the first
bar is finished you quickly stop the music to ask the teacher if he/she has
heard what that you were playing that particular song. Sort of like, "Did you
hear this song?"

Quick Summary:

> Sentence 1: 先生、この歌を **お聞きになったことがありますか** 。

**Have you heard** this song before Sensei?

> Sentence 2: 先生、この歌を **お聞きになりましたか** 。

**Did you hear** this song Sensei?
CC BY-SA 3.0
2016-07-13T04:11:31.037
36620
2016-07-13T04:11:31.037
7055
36619
answer
Not wrong. The difference is same as in English.

> Sentence 1: この歌をお聞きになったことがありますか。
>
> Sentence 2: この歌をお聞きになりましたか。

These can be translated to

> Sentence 1: Have you heard this song?
>
> Sentence 2: Did you hear this song?

The first one puts emphasis on the experience and the second one on the fact
(not so long time ago).

It is natural for 先生 to answer "Yes, when I was 5 years old." for the first
one, but this answer sounds strange for the second one. If 先生 answers "Yes,
last week.", it sounds natural for both.
CC BY-SA 3.0
2016-07-13T04:20:38.987
36622
2016-07-13T04:20:38.987
2020-06-17T08:18:27.500
-1
16065
36619
answer