The correct answer is: B. 1951
The Damodar Valley Corporation (DVC) is a statutory corporation set up in 1951 under the Damodar Valley Corporation Act, 1948. It is a multi-purpose river valley project in eastern India, covering parts of the states of Jharkhand, West Bengal and Bihar. The DVC was established to develop the Damodar river basin, which was prone to floods and droughts. The corporation has built a number of dams, reservoirs, canals and power stations in the basin. The DVC also provides irrigation, drinking water and flood control to the region.
Option A is incorrect because India gained independence in 1947. The DVC was established three years later, in 1951.
Option C is incorrect because the DVC was established in 1951, not 1948.
Option D is incorrect because the DVC was established in 1951, not 1956.