Option 1 - Andhra Pradesh: This option is not correct as Andhra Pradesh does not have a broad continental shelf that extends to more than 100 km from the shore. The correct option needs to have a state with a broad continental shelf.
Option 2 - Gujarat: This option is correct. Gujarat has the broadest continental shelf among the given states, extending to more than 100 km from the shore. A continental shelf is the area of seabed which is relatively shallow and extends from the coast to the outer edge of the continental slope. Gujarat`s coastline along the Arabian Sea has a wide continental shelf, making it the correct answer to the question.
Option 3 - Kerala: This option is not correct as Kerala does not have a broad continental shelf that extends to more than 100 km from the shore. The correct option needs to have a state with a wide continental shelf.
Option 4 - Tamil Nadu: This option is not correct as Tamil Nadu does not have a broad continental shelf that extends to more than 100 km from the shore. The correct answer has been stated to be Gujarat.
Therefore, the correct answer is option 2 - Gujarat, as it has the broadest continental shelf that extends to more than 100 km from the shore.