Find the energy equivalent of one atomic mass unit, first in joules and then in MeV. Using this express the mass defect of `_8^16 O` in `MeV//c^2`.

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

Find the energy possessed by an object of mass 10kg when it is at a height of 6m above the ground. Given g=9.8ms^(-2) .

If mass-energy equivalence is taken into account , when water is cooled to form ice, the mass of water should :-(Note: The mass energy of an object is the energy equivalent of its mass , as given by E= mc^(2) , where m= mass of object & c = speed of light)

Einstein's mass-energy relation emerging out of his famous theory of relativity relates mass (m) to energy (E) as E = mc^(2) where c is speed of light in vacuum. At the nuclear level, the magnitudes of energy are very small. The energy at nuclear level is usually measured in MeV, where I MeV = 1.6 xx 10^(-13)J the masses are measured in unified atomic mass unit (u) where, 1u = 1.67 xx 10^(-27) kg . (a) Show that the energy equivalent of luis 931.5 MeV. (b) A student writes the relation as lu = 931.5 MeV. The teacher points out that the relation is dimensionally incorrect. Write the correct relation.

Four containers are filled with monoatomic ideal gases. For each container , the number of moles , the mass of an individual atom and the rms speed of the atoms are expressed in terms of n , m and v_("rms") respectively . If T_(A) , T_(B) , T_(C) and T_(D) are their temperatures respectively then which one of the options correctly represents the order ?

A particle of mass 2kg moving with a velocity 5hatim//s collides head-on with another particle of mass 3kg moving with a velocity -2hatim//s . After the collision the first particle has speed of 1.6m//s in negative x-direction, Find (a) velocity of the centre of mass after the collision, (b) velocity of the second particle after the collision. (c) coefficient of restitution.

(a) A steel wire of mass u per unit length with a circular cross section has a radius of 0.1 cm. The wire is of length 10 m when measured lying horizontal and hangs from a hook on the wall. A mass of 25 kg is hung from the free end of the wire. Assuming the wire to be uniform an lateral strains lt lt longitudinal strains find the extension in the length of the wire. The density of steel is 7860 kgm ^(-3) and Young's modulus =2 xx 10 ^(11) Nm ^(-2) (b) If the yield strength of steel is 2.5 xx 10 ^(8) Nm ^(-2), what is the maximum weight that can be hung at the lower end of the wire ?