A tank of oil has height of 4 ~m and density of 850 ~kg ~m^-3 . The gauge pressure at the bottom of the tank is (1 atm =10^5 ~Pa , Acceleration due to gravity =10 ~ms^-2 )

Correct answer: (A) 34 kPa. Tank of oil has height, h=4 ~m Density, P=850 ~kg / m^3 Gauge pressure, P=ρ gh =850 × 10 × 4=34 kPa

Q135 / 160 · AP EAMCET 2023 (16 May Shift 1) · Physics

A tank of oil has height of $4 \mathrm{~m}$ and density of $850 \mathrm{~kg} \mathrm{~m}^{-3}$. The gauge pressure at the bottom of the tank is (1 atm $=10^5 \mathrm{~Pa}$, Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

Correct answer
A
$34 \mathrm{kPa}$
B
$384 \mathrm{kPa}$
C
$284 \mathrm{kPa}$
D
$200 \mathrm{kPa}$

Solution

Tank of oil has height, $h=4 \mathrm{~m}$ Density, $\mathrm{P}=850 \mathrm{~kg} / \mathrm{m}^3$ Gauge pressure, $P=\rho \mathrm{gh}$ $=850 \times 10 \times 4=34 \mathrm{kPa}$

Hence, the correct answer is option: 'A'.

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