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Question

The Heights of mercury surface in the two arms of the manometer shown are 2 cm and 8 cm. find the pressure of the gas in the cylinder? Patm = 105 N/m2

The density of mercury =13600kgm3. Acceleration due to gravity g=10ms2



A

1.08 × 105 N/m2

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B

1.08 × 105 N/cm2

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C

1.08 × 106 N/m2

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D

1.08 × 106 N/cm2

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Solution

The correct option is B

1.08 × 105 N/cm2


Pressure of gas contained in the chamberPg = Atmospheric pressureP0 + pressure due to the (8-2=6cm) mercury column.

Pg=P0+ρgh

Where h = (8 - 2)cm = 6 cm =0.06 m

The density of mercury ρ=13600kgm3.

Atmospheric pressureP0=105Pa

Pg=105+(13600×10×6100)

=108160Nm2
=1.08160×105Pa


Physics

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