A wooden cubical block \( A B C D E F G \) of mass \( m \) and side \( a \) is wrapped by a squa...

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A wooden cubical block \( A B C D E F G \) of mass \( m \) and side \( a \) is wrapped by a square wire loop of perimeter \( 4 a \), carrying current \( I \). The whole system is placed at frictionless horizontal surface in a uniform magnetic field \( \vec{B}=B_{0} \hat{j} \) as shown in figure. In this situation, normal force between horizontal surface and block passes through a point at a distance \( x \) from center. Choose correct statement(s).
(1) The block must not topple if \( I\frac{m g}{a B_{0}} \)
(2) The block must not topple if \( I\frac{m g}{2 a B_{0}} \)
(3) \( x=\frac{a}{4} \) if \( I=\frac{m g}{2 a B_{0}} \)
(4) \( x=\frac{a}{4} \) if \( I=\frac{m g}{4 a B_{0}} \)
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