You Do Need power plug adapter while traveling from Chile to India.

Here is Why You Need An Adapter

The outlet and plug type used in India are C, D and M and in Chile are C and L. This is how they look like.

Chile

In Chile, outlets of type C and L are in use.

Type C

Type L

India

In India, outlets of type C, D and M are in use.

Type C

Type D

Type M