Ok, clear, you need to make unique attributes for each group in this case.
Currently, you can't change what to show on product detail page, because
this section is calculated automatically according to groups and attributes
which you add to product

I am not asking on shop pages or Category Page, I am asking on Product Detail page in Frontend.

I used the same attribute for several groups, But Group belongs to different Group Categories.

For Example: First, if I attached the " Launched Date " attribute in Group A of "Mobile Category" and then again attached the same Attribute in Group B of "Laptop Category" then In the frontend of the product detail page of Laptop Category same attribute is showing with  Group A.(Here Group A belongs for Mobile Category, which is wrong  ).

My requirement is that I want to list only those "Attribute Groups" on the product detail page which belong to a particular Category.

On shop pages, there is no difference which group you use. Category pages
automatically detect attributes which you added to products of current
category and show only those attributes

Yes, I used the same attribute for several groups, But Group belongs to different Categories.

For Example:  First, if I attached the " Launched Date " attribute in Group A of "Mobile Category" and then again attached the same Attribute in Group B of  "Laptop Category" then In Frontend same attribute in Group A of "Mobile Category" is showing in Laptop Category. 

My requirement is that I want to list only those "Attribute Groups" which belong to a particular Category.

You dont need to create several attributes if they have the same name. You
can attach the same attribute for several groups

My issue is that: I created an attribute as "Launch date global" and attached it to an "Attribute Group" of Mobile Category and its working fine for the Mobile Category Product.

But if I use the same attribute "Launch date global" for  Laptop Category Product then Group which I assigned for Mobile Category in the above line is also showing in Laptop products in frontend. I have attached the screenshot on the page of the Laptop Category product.

When you add attributes to product, you can choose to load attribute group

Frontend will show attributes which you added to product. You can add only
attributes which you need to current product

Hi 

I have used an attribute in two products of different Categories and mapped an attribute in "Attribute Groups" of one "Attribute Group Categories" but in Frontend, it shows the "Attribute Groups" of one category in another category.

My requirement is that I want to list only those "Attribute Groups" which belong to a particular Category.

Example: I mapped the "Launch date global " attribute in the "Basic Information- Mobile" Group of Mobile Category. But in Frontend, it also shows in the product of the Laptop category.  Find the attached screenshot for more clarification