Suppose we have 12 protons and 12 neutrons. We can assemble them to form either a `^24 Mg` nucleus or two `^12 C` nuclei. In which of the two cases more energy will be liberated?

Two hydrogen like atoms A and B having (N)/(Z) ratio equal to 1 have atomic number Z_(A) and Z_(B) A is moving, while B is stationary and both are in ground state. The minimum kinetic energy which A must have to have an inelastic collision with B such that both A and B getting excited is 221 e V . If situation is reversed and B is made to stike A which is stationary and both in ground state then minimum kinetic energy which B must have to make an inelastic coliision with both getting excited is 331.5 e V . Assume mase of proton = mass of neutron. In which of the following case energy of emitted photon will be same (Neglecting recoil of atom)

The positron is a fundamental particle with the same mass as that of the electron and with a charge equal to that of an electron but of opposite sign. When a positron and an electron collide, they may annihilate each other. The energy corresponding to their mass appears in two photons of equal energy. Find the wavelength of the radiation emitted. [Take : mass of electron = (0.5//c^(2))MeV and hc = 1.2 xx 10^(-12) MeV-m , where h is the Planck's constant and c is the velocity of light in air.

It is now believed that protons and neutrons (which constitute nuclei of ordinary matter) are themselves built out of more elementary units called quarks. A proton and a neutron consist of three quarks each. Two types of quarks, the so called 'up' quark (denoted by u) of charge +2/3 e and the down quark denoted by d) of charge (-1/3e) , together with electrons build up ordinary matter. (Quarks of other types have also been found which give rise to different unusual varieties of matter.) Suggest a possible quark composition of a proton and neutron.

The force of repulsion between two charges +1 and 6C is 12N. A third charge -4C add between them, now the force between them will be …

The mass of nucleus ._(z)X^(A) is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of mass m_(1) and m_(2) only if (m_(1)+m_(2)) lt M . Also two light nuclei of massws m_(3) and m_(4) can undergo complete fusion and form a heavy nucleus of mass M ''only if (m_(3)+m_(4)) gt M ''. The masses of some neutral atoms are given in the table below. |{:(._(1)^(1)H,1.007825u,._(1)^(2)H,2.014102u,),(._(1)^(3)H,3.016050u,._(2)^(4)H,4.002603u,),(._(3)^(6)Li,6.015123u,._(3)^(7)Li,7.016004u,),(._(30)^(70)Zn,69.925325u,._(34)^(82)Se,81.916709u,),(._(64)^(152)Gd,151.91980u,._(82)^(206)Pb,205.97445u,),(._(83)^(209)Bi,208.980388u,._(84)^(210)Po,209.982876u,):}| The correct statement is

Two protons are having same kinetic energy. One proton enters a uniform magnetic field at right angles ot it. Second proton enters a uniform electric field in the direction of field. After some time their de Broglie wavelengths are lambda_1 and lambda_2 then (a) lambda_1 = lambda_2 (b) lambda_1 lt lambda_2 (c) lambda_1 gt lambda_2 (d) some more information is required

Represent the following situations in the form of quadratic eqautions : (1) The area of a rectangular plot is 528 m^(2) . The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (2) The product of two consecutive positive integers is 306. We need to find the integers. (3) Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age. (4) A train travels a distance of 480 km at a uniform speed. If the speed had been 8km/h less, it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

A radioactive sample consists of two distinct species having equal number of atoms initially. The mean life of one species is tau and that of the other is 5 tau . The decay products in both cases are stable. A plot is made of the total number of radioactive nuclei as a function of time. Which of the following figure best represents the form of this plot? (a), (b), (c), (d)