## Step 1: Analyze Each Statement ### a) "The operators corresponding to the components of the angular momentum (\(L_x, L_y, L_z\)) do not commute except if the operators are the same" - **Explanation:** The commutation relations for angular momentum operators: \[[L_x L_y] i\h L_z\] and cyclic permutations. This means they do **not commute** unless they are the same operator (e.g., \([L_x, L_x]=\)). **So, statement (a) is true.** ### b) "The operators corresponding to the components of the angular momentum do not commute with the operator corresponding to \(L^2\)" - **Explanation:** For \(L^2 = L_x^2 + L_y^2 + L_z^2\), the commutators are: \([L^2, L_x] = \), \([L^2, L_y] = \), \([L^2, L_z] = \) So, they **do commute**. **So, statement (b) is false.** ### c) "The operators corresponding to the components of the angular momentum commute with the operator corresponding to \(L^2\)" - **Explanation:** As shown above, all components **do commute** with \(L^2\). **So, statement (c) is true.** --- ## Step 2: Final Answer ### **Final Answer:** - The true statements are: **(a) and (c) are correct.**