A metallic sphere of mass M falls through glycerine with a terminal velocity v. If we drop a ball of mass 8M of same metal into a column of glycerine, the terminal velocity of ball will be

A metallic sphere of mass M falls through glycerine with a terminal ve

1.	A metallic sphere of mass M falls through glycerine with a terminal velocity v. If we drop a ball of mass 8M of same metal into a column of glycerine, the terminal velocity of ball will be
Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/2v-300496" style="font-weight:bold;" target="_blank" title="Click to know more about 2V">2V</a> <br/>4v<br/>8v<br/>16v</p>Solution :`M=(4)/(3)pir^(3)<a href="https://interviewquestions.tuteehub.com/tag/rho-623364" style="font-weight:bold;" target="_blank" title="Click to know more about RHO">RHO</a> and <a href="https://interviewquestions.tuteehub.com/tag/8m-340185" style="font-weight:bold;" target="_blank" title="Click to know more about 8M">8M</a> =(4)/(3)piR^(3)rho`, <br/> `therefore R^(3)=8r^(3)` or `R=<a href="https://interviewquestions.tuteehub.com/tag/2r-300472" style="font-weight:bold;" target="_blank" title="Click to know more about 2R">2R</a>` <br/> As `v prop r^(2)` <br/> `therefore (v')/(v)=((R)/(r))^(2)=((2r)/(r))^(2)=4` or `v'=4v`</body></html>