Which of the two forces deforming or restoring is responsible for elastic behaviour of a substance?

Restoring force is responsible for the elastic behaviour of a substance. 
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Does the linear relation between stress and strain (Hooke's law) valid for large values of strain?

No. Hooke's law is not valid for large values of strain. 
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Why do the liquids and gases have zero value of modulus of rigidity? 

Liquids and gases have zero value of modulus of rigidity because they do not have any definite shape themselves. Liquids and gases take the shape of the container they are in.
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What are elastic bodies?

Elastic bodies are bodies that regain their original state completely on removal of deforming force. 
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What are plastic bodies?


The bodies that get permanently deformed and which  do not regain their original state completely on removal of deforming force are called plastic bodies. 
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