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The interanal radius of one limb of a ca...

The interanal radius of one limb of a capillary `U-`tube is `r_(1) = 1 mm` and the internal radius of the second limb is `r_(2) = 2 mm`, the tube is filled with same mercury, and one of the limbs is connected to a vecuum pump. The surface tension & density of mercury are `480 "dyn"//"cm"` & `13.6 gm//cm^(3)` respectively (assume contact angle to be `theta = 180^(@)`)`(g = 9.8 m//s^(2)`)
What will be the difference in air pressure when the mercury levels in both limbs are at the same height ?

A

`3.53 mm` of `Hg`

B

`1.51 mm` of `Hg`

C

`0.51 mm` of `Hg`

D

`5.52 mm` of `Hg`

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The correct Answer is:
A
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The interanal radius of one limb of a capillary U- tube is r_(1) = 1 mm and the internal radius of the second limb is r_(2) = 2 mm , the tube is filled with same mercury, and one of the limbs is connected to a vecuum pump. The surface tension & density of mercury are 480 dyn//cm & 13.6 gm//cm^(3) respectively (assume contact angle to be theta = 180^(@) ) (g = 9.8 m//s^(2) ) Which limb of the should be connected to the pump ?

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