For the system shown in figure, the pulleys are light and frictionless. The tension in the string will be

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23mgsin⁡θ

32mgsin⁡θ

12mgsin⁡θ

2mgsin⁡θ

answer is C.

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Detailed Solution

Let force in downward to the incline mgsin⁡θ−T=ma T=ma ∴ mgsin⁡θ−T =T or 2T =mgsin⁡θ or T =12mgsin⁡θ

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