Home
Class 12
PHYSICS
What is the capacitance of a drop that r...

What is the capacitance of a drop that results when two mercury spheres, each of radius R=3.00 mm merge?

Text Solution

AI Generated Solution

To find the capacitance of a drop formed by the merging of two mercury spheres, we can follow these steps: ### Step 1: Determine the Volume of the Original Spheres The volume \( V \) of a sphere is given by the formula: \[ V = \frac{4}{3} \pi R^3 \] For two spheres, the total volume \( V_{total} \) is: ...
Promotional Banner

Topper's Solved these Questions

  • CAPACITANCE

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (SINGLE CORRECT CHOICE TYPE)|23 Videos
  • CAPACITANCE

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MORE THAN ONE CORRECT CHOICE TYPE)|12 Videos
  • CAPACITANCE

    RESNICK AND HALLIDAY|Exercise CHECKPOINTS|4 Videos
  • ALL ABOUT ATOMS

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|1 Videos
  • CENTER OF MASS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer )|4 Videos

Similar Questions

Explore conceptually related problems

Find the increment of the free energy of the surface layer when two identical mercury droplets, each of diameter d = 1.5 mm , merge isothermally.

The capacitance of an isolated conducting sphere of radius R is proportional to

What is the change in surface energy , when a mercury drop of radius R split up into 1000 droplets of radius of r ? [ The surface tension of mercury is T ]

What is the excess pressure inside a drop of mercury of radius 3.0 mm? (Surface tension of mercury is 4.65 xx 10^(-1) N m^(-1) )

If a drop of liquid breaks into smaller droplets, it result in lowering of temperature of the droplets. Let a drop of radius R, breaks into N small droplets each of radius r. Estimate the drop in temperature.

What is the pressure inside a drop of mercury of radius 3.0mm at room temperature? Surface tension of mercury at that temperature (20^(@)C) is 4.65xx10^(-1)Nm^(-1) . The atmospheric pressure is 1.01xx10^(5)Pa . Also give the excess pressure inside the drop.

The radius of the circular plates of a parallel plate condenser is 'r' . Air is there as the dielectric. The distance between the plates if its capacitance is equal to that of an isolated sphere of radius r' is.

RESNICK AND HALLIDAY-CAPACITANCE-PROBLEMS
  1. Two parallel plate capacitors 8.0 mu F each , are connected in paralle...

    Text Solution

    |

  2. In figure the battery has a potential difference of 20 V. Find (a...

    Text Solution

    |

  3. A certan substance has a dielectric constant of 5.6 and a dielectric s...

    Text Solution

    |

  4. For the arrangement of Fig 25-22 suppose, that the battery remains con...

    Text Solution

    |

  5. In fig 25-39 the capacitances are C1=1.0 mu F and C2=3.0 mu F and both...

    Text Solution

    |

  6. Capacitor 3 in Fig. 25-40a is a variable capacitor (its capacitance C3...

    Text Solution

    |

  7. Figure 25-41 shows a circuit section of four air filled capacitors tha...

    Text Solution

    |

  8. A charged isolated metal sphere of diameter 15cm has a potential of 65...

    Text Solution

    |

  9. Two parallel plates of area 100 cm^2 are given charges of equal magnit...

    Text Solution

    |

  10. What is the capacitance of a drop that results when two mercury sphere...

    Text Solution

    |

  11. Plot 1 in fig25-42a gives the charge q that can be stored on capacitor...

    Text Solution

    |

  12. Figure 25-43 shows a 24.0 V battery and four uncharged capacitors of c...

    Text Solution

    |

  13. How many 12.5 mu F capacitors must be connected in parallel to store a...

    Text Solution

    |

  14. The space between two concentric conducting spherical shells of radii ...

    Text Solution

    |

  15. You have two flat metal plates, each of area 1.00 m^2 with which to co...

    Text Solution

    |

  16. The two metals objects in Fig 25-44 have net charges of +70pC and -70p...

    Text Solution

    |

  17. In fig.25-45 V=12V C1=10 mu F and C2=C3=20 mu F Switch S in first thro...

    Text Solution

    |

  18. A 100pF capacitor is charged to a potential difference of 80.0V and th...

    Text Solution

    |

  19. The plates of a spherical capacitor havi radii 37.0mm and 40.00 mm (a)...

    Text Solution

    |

  20. In fig.25-46 two parallel plate capacitors (with air between the plate...

    Text Solution

    |