If A and B are any two square matrices of the same order then
(A) `(AB)^T=A^TB^T`
(B) `(AB)^T=B^TA^T`
(C) `Adj(AB)=adj(A)adj(B)`
(D) `AB=0rarrA=0 or B=0`

Answer

To solve the problem, we will analyze each of the given options regarding the properties of square matrices A and B of the same order.

### Step-by-step Solution:

1. **Option (A):** \((AB)^T = A^T B^T\)
- This statement is **incorrect**. The correct property is \((AB)^T = B^T A^T\). The transpose of a product of matrices reverses the order of multiplication.

2. **Option (B):** \((AB)^T = B^T A^T\)
- This statement is **correct**. According to the properties of transposes, the transpose of the product of two matrices is equal to the product of their transposes in reverse order.

3. **Option (C):** \(\text{Adj}(AB) = \text{Adj}(A) \text{Adj}(B)\)
- This statement is **incorrect**. The correct relation is \(\text{Adj}(AB) = \text{Adj}(B) \text{Adj}(A)\). The adjoint of a product of matrices also reverses the order.

4. **Option (D):** \(AB = 0 \Rightarrow A = 0 \text{ or } B = 0\)
- This statement is **incorrect**. It is possible for the product of two non-zero matrices to yield the zero matrix. For example, if \(A\) and \(B\) are non-zero matrices that are such that their product results in the zero matrix, this statement does not hold.

### Conclusion:
The only correct option among the given choices is **(B)** \((AB)^T = B^T A^T\).