Step 1: Understanding the question.
The sentence is in Direct Speech with a yes/no question. In Indirect Speech, the question becomes a statement, and the verb tense changes. "Did" becomes "rose" in the past tense.
Step 2: Analyzing the options.
(A) The little girl said to her mother that the sun rose in the East: Incorrect — This is a statement, not a question. The original sentence is a question.
(B) The little girl asked her mother if the sun rose in the East: Correct — This is the correct conversion into Indirect Speech for a yes/no question.
(C) The little girl said to her mother if the sun rises in the East: Incorrect — This is incorrect because the verb tense should be in the past, "rose", not present.
(D) The little girl asked her mother if the sun is in the East: Incorrect — The verb "is" should be "rose" to match the past tense.
Step 3: Conclusion.
The correct answer is (B) The little girl asked her mother if the sun rose in the East.