Two blocks are connected by a string as shown in the diagram. The upper block is hung by another...

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Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string.
A force \( F \) applied on the upper string produces an acceleration of \( 2 \mathrm{~m} / \mathrm{s}^{2} \) in the upward direction in both the blocks. If \( T \) and \( T^{\prime} \) be the tensions in the two parts of the string, then
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