Q 1 :    

Given below are two statements:

 

Statement I: When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be 0°.

 

Statement II: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well.

 

In the light of the above statement, choose the correct answer from the options given below.                                    [2024]

  • Both Statement I and Statement II are true

     

  • Statement I is true and Statement II is false

     

  • Statement I is false but Statement II is true

     

  • Both Statement I and Statement II are false

     

(C)   Statement I is false because capillary rise is zero for angle of contact 90°

          Capillary rise, h=2Tcosθρgr, If θ=0o then rise is non-zero

          Statement II is true because angle of contact depends on both liquid and solid.

 

 



Q 2 :    

Pressure inside a soap bubble is greater than the pressure outside by an amount

(Given: = Radius of bubble, S = Surface tension of bubble)          [2024]

  • 4RS

     

  • 4SR

     

  • 2SR

     

  • SR

     

(B)    Pex=Pin-Pout

          Pin=Pout+Pex

         Pin=Pout+4SR

 



Q 3 :    

Given below are two statements:

 

Statement I: If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water.

 

Statement II: If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in cold water.

 

In the light of the above statements, choose the most appropriate from the options given below                       [2024]

  • Both Statement I and Statement II are true

     

  • Both Statement I and Statement II are false

     

  • Statement I is true but Statement II is false

     

  • Statement I is false but Statement II is true

     

(C)   Surface tension decreases with increase in temperature

         The height of capillary rise is h=2T cos θ/ρgr

         The height of capillary rise will be smaller in hot water and larger in cold water.

 



Q 4 :    

A liquid column of height 0.04 cm balances excess pressure of a soap bubble of certain radius. If density of liquid is 8×103 kg m-3 and surface tension of soap solution is 0.28 Nm-1, then diameter of the soap bubble is ______ cm. (if g=10 ms-2)                    [2024] 



(7)      ρgh=4SRR=4×0.288×103×10×4×10-4

          0.288m=288cm

           R=3.5cm

           Diameter=7cm