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Engineering Physics · Q8

Mathematical Physics

Engineering and GATE · Engineering Physics · question 8

Q8

Let \[T_ij = _K _ijka_k \] and \[ _k = _i,\,j _ijkT_ij ,\] where \[ _ijk\] is the Levi-Civita density, defined to be zero, if two 'of the indices. coincide and +1 and -1 depending on whether ijk is even or odd permutation of 1, 2, 3. Then β3 is equal to

Let    and    where  is the Levi-Civita density, defined to be zero, if two 'of the indices. coincide and +1 and -1 depending on whether ijk is even or odd permutation of 1, 2, 3. Then β3 is equal to
A.
2a3
Answer
B.
-2a3
C.
a3
D.
-a3

Answer: Option A

Solution

Answer: Option A
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