Grade 12th passMechanics
. If a proton and anti-proton come close to each other and annihilate, how much energy will be released ?
. If a proton and anti-proton come close to each other and annihilate, how much energy will be released ?
1 Answer
Arun
Dear student
The energy released = total energy of proton and anti-proton.
Rest energy of a proton/anti-proton = 938.257 MeV (Mega-electronvolts) (using E = mc^2)
2 * 938.257 = 1876.514 MeV (because there are 2 particles)
1876.514 * 10^6 = 1876514000 eV (get from MeV to eV)
1 eV = 1.60 * 10^-19J (convert to joules using charge of an electron (because we're in electron volts))
So 1876514000 eV = (1876514000 * (1.60 * 10^-19)) J
= 3.00 * 10^-10 J
Rest energy of a proton/anti-proton = 938.257 MeV (Mega-electronvolts) (using E = mc^2)
2 * 938.257 = 1876.514 MeV (because there are 2 particles)
1876.514 * 10^6 = 1876514000 eV (get from MeV to eV)
1 eV = 1.60 * 10^-19J (convert to joules using charge of an electron (because we're in electron volts))
So 1876514000 eV = (1876514000 * (1.60 * 10^-19)) J
= 3.00 * 10^-10 J
Regards
Arun (askIITans forum expert)
Other Related Questions on mechanics
Three identical balls are placed on a frictionless
horizontal surface touching each other. They stick to
each other because of adhesive. Another ball of same
radius and mass m is placed over the void created by
the three balls. Find the forces applied by the balls
kept on the floor to each other if the system remains
in equilibrium.
Three identical balls are placed on a frictionless
horizontal surface touching each other. They stick to
each other because of adhesive. Another ball of same
radius and mass m is placed over the void created by
the three balls. Find the forces applied by the balls
kept on the floor to each other if the system remains
in equilibrium.
mechanics
Last Activity: 10 Months ago
A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.
11
21
31
41
A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.
11
21
31
41
mechanics
Last Activity: 10 Months ago
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mmat the free end, where a small mass of 2 g is positioned. determine(i) The velocity of the end when passing through the zero position(ii) The acceleration at maximum displacement(iii) The maximum kinetic energy of the mass
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass
mechanics
Last Activity: 3 Years ago
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
mechanics
Last Activity: 3 Years ago