The question is about identifying the correct match of waterfalls with their corresponding rivers.

Option 1 suggests that Kapildhara Falls is on the Godavari River, which is incorrect. Kapildhara Falls is linked with the Narmada River, not the Godavari.

Option 2 suggests that the Jog Falls are on the Sharavati River, and the Sivasamudram Falls are on the Cauvery River. This is correct. The Jog Falls are indeed on the Sharavati River in Karnataka, and the Sivasamudram falls are located on the Cauvery River in Karnataka.

Option 3 suggests that Kapildhara Falls is on the Godavari River and the Sivasamudram Falls are on the Cauvery River. As explained earlier, Kapildhara Falls is incorrectly matched with the Godavari River.

Option 4 suggests all pairs are correctly matched, which is incorrect due to the mis-match of Kapildhara Falls.

Therefore, the correct answer is option 2 which accurately pairs Jog Falls with the Sharavati River and Sivasamudram falls with the Cauvery River.