Question 20 of 45 ncorrect ncorrect Particle Mass (u) Sapling Learning macmillan

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Question 20 of 45 ncorrect ncorrect Particle Mass (u) Sapling Learning macmillan 5.4858 x 104 An atom of 2 Bi decays by a emission. If the emitted a particle carries 4.001506179125 away 100% of the released energy as kinetic energy, how fast is it 207 206.977419429 moving? The masses of an electron, an alpha particle, and several neutral isotopes are given, in terms of atomic mass units, to the right. 208TI 207.9820187 209T 208.985358952 Number Pb 210.988736964. 211 Pb 211.991897543 212 m/ s 211 210.98726946 212 211.991285724 213 212.994384666 214 213.99871 1539 215 215.001769776 Po 214.9994 19988 215 216 Po 216.001915035 At 218.008694336 218 At 219.011161691 219 Fr 222.01755173 Fr 223.019735857 223 227 Ac 227.027752127 A Previous 8 Give Up & View Solution Check Answer Next Exit Hint

Explanation / Answer

for the 211Bi

mass defect , dm = initial mass - final mass

dm = 210.98726946 - 206.977419429 - 4.001506179125

dm = 0.00834385187 u

let the speed of the alpha particle is u

dm * c^2 = 0.5 * m * u^2/sqrt(1 - (u/c)^2)

0.00834385187 * (3 *10^8)^2 = 0.5 * 4.001506179125 * u^2/sqrt(1 - (u/(3 *10^8))^2)

solving for u

u = 1.935 *10^7 m/s

the speed of the alpha particle is 1.935 *10^7 m/s

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