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Three arrangements are shown in figure.
(A)
(B)
P
W
(a) A spring of mass \( m \) and stiffness \( k \)
(C)
(b) A block of mass \( m \) attached to massless spring of stiffness \( k \)
(c) A block of mass \( \frac{m}{2} \) attached to a spring of mass \( \frac{m}{2} \) and stiffness \( k \)
If \( T_{1}, T_{2} \) and \( T_{3} \) represent the period of oscillation in the three cases respectively, then identify the correct relation.
(a) \( T_{1}T_{2}T_{3} \)
(b) \( T_{1}T_{3}T_{2} \)
(c) \( T_{1}T_{3}T_{2} \)
(d) \( T_{3}T_{1}T_{2} \)
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