Test Academy | A steel wire of diameter d, area of cross-section A and length 2L is clamped firmly at two points A and B which are 2L metre apart and in the same plane. A body of mass m is hung from the middle point of wire such that the middle point sags by x lower from original position. If Young’s modulus is Y then m is given by YAx²/2gL², YAL²/2gx², YAx³/gL³, YAL³/gx²

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A steel wire of diameter d, area of cross-section A and length 2L is clamped firmly at two points A and B which are 2L metre apart and in the same plane. A body of mass m is hung from the middle point of wire such that the middle point sags by x lower from original position. If Young’s modulus is Y then m is given by

Options :

YAx²/2gL²
YAL²/2gx²
YAx³/gL³
YAL³/gx²

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