The correct answer is A. 1883.
The Forest Department of Jammu and Kashmir was established in 1883 by the British government. The department was responsible for managing the forests of the state, which were an important source of revenue for the government. The department also played a role in protecting the environment and wildlife.
In 1947, when India gained independence, the Forest Department of Jammu and Kashmir became a part of the Indian government. The department has continued to play an important role in managing the forests of the state, and in protecting the environment and wildlife.
Option B is incorrect because the Forest Department of Jammu and Kashmir was established in 1883, not 2000.
Option C is incorrect because the Forest Department of Jammu and Kashmir was established in 1883, not 2005.
Option D is incorrect because the Forest Department of Jammu and Kashmir was established in 1883, not 2010.