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Aiims exam question

Two soap bubbles have radii in the ratio 2 : 1. What is the ratio of excess pressure inside them?

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  • !--[if gte mso 9]xml w:WordDocument w:ViewNormal/w:View w:Zoom0/w:Zoom w:TrackMoves/ w:TrackFormatting/ w:PunctuationKerning/ w:ValidateAgainstSchemas/ w:SaveIfXMLInvalidfalse/w:SaveIfXMLInvalid w:IgnoreMixedContentfalse/w:IgnoreMixedContent w:AlwaysShowPlaceholderTextfalse/w:AlwaysShowPlaceholderText w:DoNotPromoteQF/ w:LidThemeOtherEN-US/w:LidThemeOther w:LidThemeAsianX-NONE/w:LidThemeAsian w:LidThemeComplexScriptX-NONE/w:LidThemeComplexScript w:Compatibility w:BreakWrappedTables/ w:SnapToGridInCell/ w:WrapTextWithPunct/ w:UseAsianBreakRules/ w:DontGrowAutofit/ w:SplitPgBreakAndParaMark/ w:DontVertAlignCellWithSp/ w:DontBreakConstrainedForcedTables/ w:DontVertAlignInTxbx/ w:Word11KerningPairs/ w:CachedColBalance/ /w:Compatibility w:BrowserLevelMicrosoftInternetExplorer4/w:BrowserLevel m:mathPr m:mathFont m:val="Cambria Math"/ m:brkBin m:val="before"/ m:brkBinSub m:val="--"/ m:smallFrac m:val="off"/ m:dispDef/ m:lMargin m:val="0"/ m:rMargin m:val="0"/ m:defJc m:val="centerGroup"/ m:wrapIndent m:val="1440"/ m:intLim m:val="subSup"/ m:naryLim m:val="undOvr"/ /m:mathPr/w:WordDocument /xml![endif]--br /Excess pressure inside a bubble of radius R and surface tension T is given by $P_e\:=\:\frac{4T}{R}$.br /Therefore excess pressure is inversely proportional to the radius.br /So $\frac{P_1}{P_2}\:=\:\frac{R_2}{R_1}\:=\:\frac{1}{2}$.br /So the ratio of excess pressure inside them will be 1:2.br / br /!--[if gte mso 9]xml w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true" DefSemiHidden="true" DefQFormat="false" DefPriority="99" LatentStyleCount="267" w:LsdException Locked="false" Priority="0" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Normal"/ w:LsdException Locked="false" Priority="9" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="heading 1"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/ w:LsdException Locked="false" Priority="39" Name="toc 1"/ w:LsdException Locked="false" Priority="39" Name="toc 2"/ w:LsdException Locked="false" Priority="39" Name="toc 3"/ w:LsdException Locked="false" Priority="39" Name="toc 4"/ w:LsdException Locked="false" Priority="39" Name="toc 5"/ w:LsdException Locked="false" Priority="39" Name="toc 6"/ w:LsdException Locked="false" Priority="39" Name="toc 7"/ w:LsdException Locked="false" Priority="39" Name="toc 8"/ w:LsdException Locked="false" Priority="39" Name="toc 9"/ w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/ w:LsdException Locked="false" Priority="10" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Title"/ w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/ w:LsdException Locked="false" Priority="11" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/ w:LsdException Locked="false" Priority="22" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Strong"/ w:LsdException Locked="false" Priority="20" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/


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