A test tube of mass 10 grams closed with a cork of mass 1 gram contains some ether . When the test tube is heated the cork flies out under the pressure of the ether gas. The test tube is suspended horizontally by a weight less rigid bar of length 5 cm . What is the minimum velcoity with which the cork should fly out of the tube , so that test tube deseribing a full vertical circle about the point O . Neglect the mass of ether .

Explanation

Mass of test tube M = 10g, Mass of ether
m = 1g , Length of rigid bar
= radius of circle (r) = 5 cm

`:. r = 5 xx 10^(-2) m, g = 10 ms^(2)`
[`:.` action = - reaction ]
Given the minimum velocity of cork flies out = - v, The minimum velocity of test tube
Hence ` v = sqrt(5 l g) = sqrt ( 5 xx 5 xx 10^(-2) xx 10)`
`= 5 xx sqrt(10^(-1)) `m/s