The correct answer is option 3, Siva Samudram in Karnataka. Siva Samudram, established in 1902, was the first hydel power project in India. A hydel power project refers to a project that harnesses the energy of flowing or falling water to generate electricity.
Option 1, Pallivasal in Kerala, is not the correct answer as it was the first hydroelectric project in the state of Kerala but not the first in India. Option 2, Paikara in Tamil Nadu, and option 4, Nizamnagar in Andhra Pradesh, are also incorrect as they were not the first hydel power projects in India.
It is important to note that while the correct answer provided is generally accurate, there may be some debate or alternative viewpoints on the specific hydel power project that can be considered the first in India.