A cylindrical conductor AB of non-uniform area of cross-section carries a current of 5A. The radius of the conductor at one end A is 0.5 cm. The current density at the other end of the conductor is half of the value at A. The radius of the conductor at the end B is nearly
One mole of an ideal diatomic gas undergoes transition from A to B along a path AB as shown below.
The change in internal energy of the gas during the transition is
A nuclear explosive is designed to deliver $$1 \mathrm{~MW}$$ power in the form of heat energy. If the explosion is designed with nuclear fuel consisting of $$U^{235}$$ to run a reactor at this power level for one year, then the amount of fuel needed is (Given energy per fission is $$200 \mathrm{~MeV}$$)
A thin prism $$P_1$$ of angle $$4^{\circ}$$ and refractive index 1.54 is combined with another prism $$P_2$$ of refractive index 1.72 produce dispersion without deviation, the angle of $$P_2$$ is