Does the induction cook top has a timed-cooking function, i.e. a timer that turns off a specific cooktop element automatically when the set time has elapsed?

While this model does have a timed cook feature for the oven compartment, the cooktop does not, and will need to be turned off manually.

What is the depth of this product without the handle?

27 inches deep including burner knobs.

Does the top scratch and/or crack easily? How can these things be prevented?

Any glass or ceramic cooktop will be susceptible to scratches, but there are easy ways to prevent this. The most important thing to consider for this is the cookware used. It is also important to note that this model is an induction model. This means that it will require cookware that is magnetic (magnets will stick to the bottom).

User Manual Samsung NE63T8911SS/AA Smart Slide-in Induction

Samsung NE63T8911SS/AA Smart Slide-in Induction Range - Use Manual - Use Guide PDF.
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User Manual

Owner's manual - (English, French, Spanish)

Specification

Spec Sheet (web) - (English)

User manual Electric Range for Samsung NE63T8911SS/AA

Contents

Important safety instructions
Introducing your new range
Overview
What’s included with your range
Before you begin
Energy saving tips
Surface cooking
About induction cooktop cooking
How to set the appliance for cooktop cooking
Before using the cooktop
Cookware for induction cooking zones
Using the correct size cookware
Pot and pan sizes
Induction cookware test
Operating noises
Using suitable induction cookware
Temperature detection
Suggested settings for cooking specific foods
Protecting the cooktop
Operating the oven
The oven control panel
How to use dial knob
Lock
Display mode
Turning the oven light on and off
Clock
Oven cooking
Cooking mode
Using the oven racks
Recipe guide
Temperature probe
Cooking options
Special features
More functions
System Settings
Smart control
Voice control
Maintaining your appliance
Self-cleaning
Steam-cleaning
Care and cleaning of the oven
Care and cleaning of the glass cooktop
Removing and reinstalling the oven door
Maintaining your appliance
Removing and reinstalling the storage drawer
Changing the oven light
Troubleshooting
Troubleshooting
Information codes
Warranty

Using the correct size cookware

The Induction Cooking Zones require that you use pots and pans of a minimum size or larger at each location. The inner ring of each Cooking Zone is your guide to the correct minimum pan size. The pan bottom must fully cover the inner ring for proper cooking to occur.
The thicker outer ring at each Cooking Zone is helpful to determine the maximum pan size. After centering the cookware on the cooktop, make sure the cookware does not extend more than 1/2" beyond the thicker line on the Cooking Zone. The pan must fully contact the glass surface without the bottom of the pan touching the metal cooktop trim.

Operating noises

You may hear the following operational noises:

Cracking noises : You may hear a cracking noise when you are using cookware made of two or more materials.
Whistling : A whistling noise occurs when both back burners are in use. This is caused by vibrations. Whistling can vary depending on the weight or material of the cookware or the type of food you are cooking. (Noise can be reduced by using thicker cookware.)
Humming : You may hear a low humming when you set an element to a high power setting. This sound is generated by energy transmission, and it will disappear when cooktop is turned off.
Clicking : Electric switches are operating.
Hissing, Buzzing : You may hear a fan noise during cooktop/oven operation. You may continue to hear it even after the cooktop/oven is turned off. This is normal. The fan runs to cool down the temperature inside. It will automatically shut off itself after a short period of time.

These noises are normal and do not indicate any defects.