A U-tube is partially filled with water. Oil is poured into one side until it stands 10 mm above the water level on the other side. Meanwhile the wate - Physics MCQ NEET (UG) 2017 2026 | ExamTest.live

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A U-tube is partially filled with water. Oil is poured into one side until it stands 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level. The density of the oil is:

Solution & Step-by-step Explanation

Water rises by 65 mm on one side, meaning it must have dropped by 65 mm on the other side.Total height of water column above the interface: h_{w} = 65 + 65 = 130 mm .Oil stands 10 mm above this water level.Total height of oil column: h_{o} = 130 + 10 = 140 mm .At equilibrium: ρ_{o} g h_{o} = ρ_{w} g h_{w} $ ρ_{o} = ρ_{w} \frac{h _{w}}{h _{o}} = 1000 \times \frac{130}{140} \approx 928.5 kg m^{- 3} $

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A U-tube is partially filled with water. Oil is poured into one side until it stands 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level. The density of the oil is:

425 kg m^{- 3}

800 kg m^{- 3}

928 kg m^{- 3}

650 kg m^{- 3}

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