An alpha particle, which consists of two neutrons and two protons, has a mass of

Question

An alpha particle, which consists of two neutrons and two protons, has a mass of6.645 × 1027 kg and a charge of 2e.

Part A

What is the de Broglie wavelength of an alpha particle of kinetic energy 8.48 × 1013 J?

Express your answer with the appropriate units.

5.17•1015m

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An alpha particle, which consists of two neutrons and two protons, has a mass of6.645 × 1027 kg and a charge of 2e.

Part A

What is the de Broglie wavelength of an alpha particle of kinetic energy 8.48 × 1013 J?

Express your answer with the appropriate units.

5.17•1015m

SubmitMy AnswersGive Up

Incorrect; Try Again; 2 attempts remaining

Explanation / Answer

de broglie wavelength=plank's constant/momentum

as its kinetic energy is given as 8.48*10^(-13) J

let its speed be v.

then 0.5*mass*speed^2=energy

==>speed=sqrt(8.48*10^(-13)/(0.5*6.645*10^(-27))=15.976*10^6 m/s

then momentum=mass*speed=6.645*10^(-27)*15.976*10^6=1.061598*10^(-19) kg.m/s

then de broglie wavelength=6.626*10^(-34)/(1.061598*10^(-19))=6.2416*10^(-15) m

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