When liquid medicine of density `rho` is to put in the eye, it is done with the help of a dropper. As the bulp on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.
If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r ltltR) is
When liquid medicine of density `rho` is to put in the eye, it is done with the help of a dropper. As the bulp on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.
If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r ltltR) is
If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r ltltR) is
A
`2pirT`
B
`2piRT`
C
`2pir^(2)T//R`
D
`2piR^(2)T//r`
Text Solution
Verified by Experts
The correct Answer is:
C
Surface tension force `2pirT r/R=(2pir^(2)T)/R`
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When liquid medicine of density rho is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of te drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surfacetension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper. If the radius of the opening of the dropper is r , the vertical force due to the surface tension on the top of radius R (assuming rltltR ) is
When liquid medicine of density rho is to be put in the eye, it is done with the help of a dropper. As the bylb on the top of the dropper is pressed. A drop frons at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy, To determine the size. We calculate the net vertical force due to the surface tension T when the radius of the drop is R. when this force become smaller than the weight of the drop the drop gets detached from the dropper. If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming rlt ltR) is
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When liquid medicine of density rho is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of te drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surfacetension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper. If the radius of the opening of the dropper is r , the vertical force due to the surface tension on the top of radius R (assuming rltltR ) is
When liquid medicine of density rho is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of te drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surfacetension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper. If the radius of the opening of the dropper is r , the vertical force due to the surface tension on the top of radius R (assuming rltltR ) is
A
`2pirT`
B
`2pirRT`
C
`(2pir^(2)T)/(R)`
D
`(2piR^(2)T)/(r)`
When liquid medicine of density rho is to be put in the eye, it is done with the help of a dropper. As the bylb on the top of the dropper is pressed. A drop frons at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy, To determine the size. We calculate the net vertical force due to the surface tension T when the radius of the drop is R. when this force become smaller than the weight of the drop the drop gets detached from the dropper. If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming rlt ltR) is
When liquid medicine of density rho is to be put in the eye, it is done with the help of a dropper. As the bylb on the top of the dropper is pressed. A drop frons at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy, To determine the size. We calculate the net vertical force due to the surface tension T when the radius of the drop is R. when this force become smaller than the weight of the drop the drop gets detached from the dropper. If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming rlt ltR) is
A
`2pi rT`
B
`2pi RT`
C
`(2pir^(2)T)/(R)`
D
`(2piR^(2)T)/(r)`
When liquid medicine rho is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop froms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is osperical becaus ethat requires a minimum increase in its surface energy. To datermine the size., we calculate the net vertical force due to the surface tension T when the radius of the drop is R . When this force become smaller than the wight of the drop, the drop gets detached from the droppr. If the radius of the opening of the dropper is r , the verital force due to the surface tension on the drop of radius R (assuming r ltlt R ) is :
When liquid medicine rho is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop froms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is osperical becaus ethat requires a minimum increase in its surface energy. To datermine the size., we calculate the net vertical force due to the surface tension T when the radius of the drop is R . When this force become smaller than the wight of the drop, the drop gets detached from the droppr. If the radius of the opening of the dropper is r , the verital force due to the surface tension on the drop of radius R (assuming r ltlt R ) is :
A
`2pirT`
B
`2piRT`
C
`(2pir^(2)T)/(R)`
D
`(2piR^(2)T)/(r)`