Question

calculate the height of water column which will exert same pressure is exerted by 1 m Mercury equals to 13.6 into 10 to the power 3 kg per metre cube density of water is equals to 10 degree Celsius column of water is equals to 4.25 gram to the power minus 10 .

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Answer 1

wè ķñòw,

P=dèñšity×height of liquid column×g

P(mercury)=13.6×980×70=932960dyne\cm

ñòw h of wayeŕçòĺùmñ with same ptesdure=h

=pŕèś§ure\density×g

=932960/980

=952cm

2_______________

Pressure at the place remains the same for both water and mercury.

Pressure exerted by mercury = density of mercury * height of mercury column * g (acc. due to gravity)

=> Pressure exerted by mercury = 13.6 * 70 * g

=> Pressure exerted by mercury = 952 g.

Pressure exerted by water = density of water * height of water column * g (acc. due to gravity)

=> Pressure exerted by water = 1 * h *g 

=> Pressure exerted by water = h g.

Now, According to question,

952* g = h* g

=> h = 952 cm.

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