Home
Class 12
PHYSICS
Suppose ana attractive nuclear force act...

Suppose ana attractive nuclear force acts between two protons which may be written as `F = Ce^(-kr) //r^2,` (a) Write down the dimensional formulae and appporpriate SI units of C and k. (b) Suppose that `k = 1 fermi^(-1)` and that the repulsive electreic force between the protons is just blanced by the attractive nuclear force when the separation is 5 fermi. Find the value of c.

Text Solution

Verified by Experts

(a) Given, F=C(e^-kr)/r^2 `
Since `e^-kr` is pure number
` So, K=(1)/r=[L^-1] `
` C=[ML^3T^-2] `
` (b) F=(9xx10^9xx(1.6xx10^-19)^2)/(5xx10^-15)^2 `
` =(Cxx10^-5)/(5xx10^-15)^2 `
` C=3.4xx10^-26N-m^2`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC FIELD AND POTENTIAL

    HC VERMA|Exercise Objective 2|8 Videos

  • ELECTRIC CURRENT THROUGH GASES

    HC VERMA|Exercise Exercise|23 Videos

  • ELECTROMAGNETIC INDUCTION

    HC VERMA|Exercise EXERCISE|98 Videos

Similar Questions

Explore conceptually related problems

Find the electric force between two protons separted by a distance of 1 fermi (1fermi = 10^(15)m). The protons in a nucleus remain at a separaton of this order.

Suppose the magnitude of Nuclear force between two protons varies with the distance between them as shown in figure. Estimate the ratio Nuclear force/Coulomb force for a. x=8 fm b. x=4 fm, c. x=2 fm and d. x=1 fm (1fm =10^-15m) .

The amount of charge passed in time t through a cross-section of a wire is Q(t)=At^(2)+Bt+C. (a)Write the dimensional formulae for A,B and C. (b) If the numerical values of A,B,and C are 5,3 and 1 respectively in SI units,find the value of the current at t=5 s.

In the section 3.7.3 (Banking of road) we have not included the friction exerted by the road on the car. Suppose the coefficient of static friction between the car tyre and the surface of the road is mu_s , calculate the minimum speed with which the car can take safe turn? When the car takes turn in the banked road, the following three forces act on the car. (1) The gravitational force mg acting downwards (2) The normal force N acting perpendicular to the surface of the road (3) The static frictional force f acting on the car along the surface.

A track consists of two circular pars ABC and CDE of equal radius 100 m and joined smoothly as shown in figure.Each part subtends a right angle at its centre. A cycle weighing 100 kg together with rider travels at a constant speed of 18 km/h on the track. A. Find the normal contact force by the road on the cycle when it is at B and at D. b.Find the force of friction exerted by the track on the tyres when the cycle is at B,C and D. c. Find the normal force between the road and the cycle just before and just after the cycle crosses C. d. What should be the minimum friction coefficient between the road and the tyre, which will ensure that the cyclist can move with constant speed? Take g=10 m/s^2

Figure shows a metal rod PQ resting on the smooth rails AB and positioned between the poles of a permanent magnet. The rails, the rod and the magnetic field are in three mutually perpendicular directions. A galvonometer G connects the rails through a switch K. Length of rod = 15 cm, B = 0.50 T, resistance of the closed loop containing the rod = 9.0mOmega . Assume the field to be uniform. a. Suppose K is open and the rod is moved with a speed of 12cms^(-1) in the direction shown. Give the polarity and magnitude of the induced emf. b. Is there an excess charge built up at the ends of the rods when K is open? What if K is closed? c. With K open and the rod moving uniformly, there is no net force on the electrons in the rod PQ eventhough they do experience magnetic force due to the motion of the rod. Explain. d. What is the retarding force on the rod when K is closed? e. How much power is required (by an external agent) to keep the rod moving at the same speed (=12cms^(-1)) when K is closed? How much power is required when K is open? f. How much power is dissipated as heat in the closed circuit? What is the source of this power? g. What is the induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular?

A parallel - plate capacitor having plate area 20cm^2 and seperation between the plates 1.00 mm is connected to a battery of 12.0V . The plates are pulled apart to increase the separation to 2.0mm . (a ) calculate the charge flown through the circuit during the process . (b ) How much energy is absorbed by the battery during the process ? (c ) calculate the stored energy in the electric field before and after the process . (d ) Using the expression for the force between the plates , find the work done by the person polling the plates apart . (e ) Show and justify that no heat is produced during this transfer of charge as the separation is increased.

A proton und un electron move between two ports having a potential difference V. a. Which gains more energy b. Define electron volt. c. How is 1e V and 1 MeV related to joule? d. Write the dimensional formula of electrostatic potential.

A positive charge of 1.5 mu C is moving with a speed of 2 xx 10^(-6) ms^(-1) along the postive X-axis. A magnetic field, vec(B) = (0.2 hat(j) + 0.4 hat(k)) tesla acts in space. Find the magnetic force acting on the charge.

Two charged particle A and B repel each other by a force k/r^2 where is a constant and r is th separation between them. The particle A is clamped to a fixed point in the lab and the particle B which has a mass m, is released from rest with asn initial separartion r_0 form A. Find the change in the potential energyof hte wo particle system as the separation increases to a large value. What will be the speed o the particle b in this situation?

HC VERMA-ELECTRIC FIELD AND POTENTIAL-Exercises
  1. Na Cl molecule is bound due to the electric force between the sodium a...

    Text Solution

    |

  2. Find the ratio of the electric and gravitational forces between two pr...

    Text Solution

    |

  3. Suppose ana attractive nuclear force acts between two protons which ma...

    Text Solution

    |

  4. Three equal charges, 2.0xx 10^(-6) C each, are held fixed at the thr...

    Text Solution

    |

  5. Four equal charges 2.0xx10^(-6) C each are fixed at the four corners o...

    Text Solution

    |

  6. A hydrogen atom contains one proton and one electron. It may be assume...

    Text Solution

    |

  7. A hydrogen atom contains one proton and one electron. It may be assume...

    Text Solution

    |

  8. Ten positively charged particles are kept fixed on the x-axis at point...

    Text Solution

    |

  9. Two charged particles having charge 2.0xx 10^(-8)C each are joined by ...

    Text Solution

    |

  10. Two indentical balls, each having a charge of 2.00xx10^(-7) C and a ma...

    Text Solution

    |

  11. Two pith balls carrying equal charges are suspended from a common poin...

    Text Solution

    |

  12. Two small spheres, each having a mass of 20 g, are suspended form a co...

    Text Solution

    |

  13. Two identical pith balls, each carrying charge q, are suspended from ...

    Text Solution

    |

  14. A particle having a charge of 2.0xx10^(-4) C is placed directly below ...

    Text Solution

    |

  15. Two particles A and B having charges 8.0 xx 10 ^(-6) C and -2.0 xx 1...

    Text Solution

    |

  16. Two identically charged particles are fastened to the two ends of a sp...

    Text Solution

    |

  17. Two particles, each having a mass of 5 g and charge. 1.0 xx 10^(-7) C...

    Text Solution

    |

  18. A particle A having a charge of 2.0xx 10^(-6) C and a mass of 100 g i...

    Text Solution

    |

  19. Two particles A and B having equal charges are placed at distance d ap...

    Text Solution

    |

  20. Two particles A and B , each carrying charge Q are held fixed with a s...

    Text Solution

    |