Calculate the height of the potential barrier for a head on collision of two deuterons. (Hint: The height of the potential barrier is given by the Coulomb repulsion between the two deuterons when they just touch each other. Assume that they can be taken as hard spheres of radius 2.0 fm.)

Consider the D "_1^2H + "_1^3H rarr "_2^4He +n - Consider the radius of both deuterium and tritium to be approximately 2.0 fm. What is the kinetic energy needed to overcome the coulomb repulsion between the two nuclei? To what temperature must the gas be heated to initiate the reaction?

Two stars each of one solar mass (= 2xxl0^30 kg) are approaching each other for a head on collision. When they are a distance 10^9 km , their speeds are negligible. What is the speed with which they collide ? The radius of each star is 10^4 km . Assume the stars to remain undistorted until they collide. (Use the known value of G).

A spherical capacitor has an outer sphere of radius 0.15m and the inner sphere of diameter 0.2m The outer sphere is earthed and the inner shere is given charge of 6 muC. The space between the concentric spheres is filled with a material of dielectric constant 6. Calculate capacitacne and potential of inner sphere.

Two small charged metal sphere A and B are situated in a vaccum. The distance between the centres of the spheres is 12.0 cm, as shown in the fig. The charge on each sphere may be assumed to be a point charge at the centre of the sphere. Point P is a movable point that lies on the line joining the centres of the sphere and is distance x fromt he centre of sphere A. The variation with distance x fo the electric field strength E at point P as shown in the figure. Use fig to state and explain the distance x at which the rate of change of potential with distance is maximum and minimum.

An alpha particle (_2He^4) is moving directly towards a stationary gold nucleus (_(79)Au^(197)) .The alpha -particle and the gold nucleus may be considered to be solid spheres with the charge and mass concentrated at the centre of each sphere.When the two spheres are just toching,the sepaation of their centres is 9.6 xx 10^(-15) m . the alpha particle and the gold nucleus may be assumed to be an isolatedd system.Calculate for the alpha particle just in contact with the gold nucleus, its electric potential energy.

A solenoidal coil has 50 turns er cm along its length and a cross-sectional area of 4 cm^2 . 200 truns of another wire is wound round the first solenoid coaxially. The two coils are electrically insulated from each other. Calculate the mutual inductance between the two coils. given that mu_0 = 4 pi xx 10^-7 N A^-2

Fig. TBQ 8.1 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15 A. Calculate the capacitance and rate of change of potential difference between the plates.

Two parallel plate capacitors A and B have the same separation d= 8.85xx10^-4m between the plates. The plate area of A and B are 0.04m^2 and 0.02m^2 respectively. A slab of dielectric constant (relative permittivity) K=9 has dimensions such that it can exactly fill the space between the plates of capacitor B. A is then charged to a potential difference of 110V. Calculate the capacitance of A and the energy stored in it.

Two equally charged identical metal spheres A and b repel each other with a fore 2.0 xx 10^-5 N . Another identical uncharged sphere C is touched to A and the nplaced at the md point between A and B. What is the net electric force on C?

Figure 8.6 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A. Calculate the capacitance and the rate of change of potential difference between the plates. :