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Question

A weight can be hung in any of the following four ways by string of same type. In which case the string is most likely to break?
133663_568f5979c7db477ba28348b22cb33a72.png

A
A
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B
B
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C
C
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D
D
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Solution

The correct option is C C
Consider the string makes an angle θ with the horizontal,
Taking FBD of the block, we get
mg=2Tsinθ
T=mg2sinθ
Now, as the denominator decreases Tension becomes more and the string breaks.
It means θ should be minimum in case of maximum Tension and to break the string.
Thus, C is the case
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