Q 1 :    

If average depth of an ocean is 4000m and the bulk modulus of water is 2×109 Nm-2, then fractional compression VV of water at the bottom of ocean is α×10-2. The value of α is ______ .(Given, g=10ms-2,ρ=1000kg m-3)                      [2024]



(2)        B=ΔP(ΔVV)

            -(ΔVV)=ρghB=1000×10×40002×109

            =2×10-2[-ve sign represents compression]

 



Q 2 :    

The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by 0.02% is ______ m.    

(Take density of sea water=103kgm-3,Bulk modulus of rubber=9×108Nm-2,and g=10ms-2)                      [2024]



(18)      β=-ΔPΔVVΔP=-βΔVV 

            ρgh=-βΔVV

           103×10×h=-9×108×(-0.02100)h=18m

 



Q 3 :    

Match List-I with List-II

  List - I   List - II
A A force that restores an elastic body of unit area to its original state (I) Bulk modulus
B Two equal and opposite forces parallel to opposite faces (II) Young’s modulus
C Forces perpendicular everywhere to the surface per unit area same everywhere (III) Stress
D Two equal and opposite forces perpendicular to opposite faces (IV) Shear modulus

 

Choose the correct answer from the options given below:                      [2024]

  • (A)-(III), (B)-(IV), (C)-(I), (D)-(II)

     

  • (A)-(II), (B)-(IV), (C)-(I), (D)-(III)

     

  • (A)-(IV), (B)-(II), (C)-(III), (D)-(I)

     

  • (A)-(III), (B)-(I), (C)-(II), (D)-(IV)

     

(1)