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Question

A liquid soap bowl rests on a table in the dining car of SHATABDI Express. If the train is accelerating uniformly at rate of g4 in the forward direction, the angle made by the surface of the soap contained in the bowl with the horizontal is θ. Then,

A
θ=tan1(4)
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B
θ=tan1(14)
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C
θ=tan1(16)
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D
θ=tan1(116)
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Solution

The correct option is B θ=tan1(14)
Here, the soap surface aligns itself perpendicular to the resultant acceleration as it cannot bear any shear stress.
tanθ=mamg=ag
tanθ=g4g
tanθ=14
θ=tan1(14)

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