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1000 drops of a liquid each of diameter 4 mm coasesce to form a single large drop. If surface tension of liquid is 35 dyne cm^(-1). Calculate the energy evolvedby the system in the process. |
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :<a href="https://interviewquestions.tuteehub.com/tag/number-582134" style="font-weight:bold;" target="_blank" title="Click to know more about NUMBER">NUMBER</a> of drops ` n =1000 impliesn^(1//3)=10impliesn^(2//3)=100` <br/> <a href="https://interviewquestions.tuteehub.com/tag/surface-1235573" style="font-weight:bold;" target="_blank" title="Click to know more about SURFACE">SURFACE</a> tension of liquid `S=35"dyne"cm^(-1)` <br/> <a href="https://interviewquestions.tuteehub.com/tag/radius-1176229" style="font-weight:bold;" target="_blank" title="Click to know more about RADIUS">RADIUS</a> of each small drop `r=2mm=0.2cm` <br/> <a href="https://interviewquestions.tuteehub.com/tag/energy-15288" style="font-weight:bold;" target="_blank" title="Click to know more about ENERGY">ENERGY</a> evolved in merging <br/> `W=4pir^(2)S[n-n^(2//3)]` <br/> `impliesW=4xx22/7xx(2xx10^(-1))^(2)35[1000-100]` <br/> `impliesW=(88xx35xx4xx10^(-2))/6[900]` <br/> `=15840` ergs `~~1.58xx10^(-3)J`</body></html> | |