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Assume that a neutron breaks into a prot...

Assume that a neutron breaks into a proton and an electron. The energy released during this process is (Mass of neutron = `1.6725 xx 10^(-27)` kg, mass of proton = `1.6725 xx 10^(-27)` kg, mass of electron = `9 xx 10^(-31)` kg)

A

`5.4 MeV`

B

`0.73 MeV`

C

`7.10 MeV`

D

`6.30 MeV`

Text Solution

Verified by Experts

The correct Answer is:
B
Released energy
`=(1.6747xx10^(-27)-1.6725xx10^(-27)-9xx10^(-31))xx (3xx10^(8))^(2)J=0.73 MeV`
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Assume that a neutron breaks into a proton and an electron . The energy reased during this process is (mass of neutron = 1.6725 xx 10^(-27) kg mass of proton = 1.6725 xx 10^(-27) kg mass of electron = 9 xx 10^(-31) kg )

A neutron breaks into a proton and electorn. Calculate the eenrgy produced in this reaction in m_(e) = 9 xx 10^(-31) kg, m_(p) = 1.6725 xx 10^(-27) kg, m_(n) = 1.6747 xx 10^(-27) kg, c = 3xx10^(8)m//sec .

When would the wavelength associated with an electron become equal to that with proton ? (Mass of electron = 9.10 xx 10^(-31) kg , Mass of proton =1.6725 xx 10^(-27)kg )

Deutrium was discovered in 1932 by Harold Urey by measuring the small change in wavelength for a particular transition in .^(1)H and .^(2)H . This is because, the wavelength of transition depend to a certain extent on the nuclear mass. If nuclear motion is taken into account, then the electrons and nucleus revolve around their common centre of mass. Such a system is equivalent to a single particle with a reduced mass mu , revolving around the nucleus at a distance equal to the electron -nucleus separation. Here mu = m_(e) M//(m_(e)+M) , where M is the nuclear mass and m_(e) is the electronic mass. Estimate the percentage difference in wavelength for the 1st line of the Lyman series in .^(1)H and .^(2)H . (mass of .^(1)H nucleus is 1.6725 xx 10^(-27) kg, mass of .^(2)H nucleus is 3.3374 xx 10^(-27) kg, Mass of electron = 9.109 xx 10^(-31) kg .)

Molar mass of electron is nearly : (N_(A) = 6 xx 10^(23)) , mass of e^(-) = 9.1 xx 10^(-31)Kg

The ratio of electrostatic and gravitational force acting between electron and proton separated by a distance 5 xx 10^(-11)m , will be (charge on electron = 1.6 xx 10^(-19)C , mass of electron = 9.1 xx 10^(-31) kg , mass of proton = 1.6 xx 10^(-27) kg, G = 6.7 xx 10^(-11) N - m^(2)//kg^(2) )

Calculate the wavelength ( in nanometer ) associated with a proton moving at 1.0xx 10^3 m/s (Mass of proton =1.67 xx 10^(-27) kg and h=6.63 xx 10^(-34) is) :

What is the uncertainty in velocity of an electron if the uncertainty in its position is 10^(-10) m ? Mass of the electron is 9.1 xx 10^(-31) kg and h = 6.6 xx 10^(-34) m^(2) s^(-1) ?

What is the uncertainty in velocity of an electron if the uncertainty in its position is 10^(-10) m ? Mass of the electron is 9.1 xx 10^(-31) kg and h = 6.6 xx 10^(-34) m^(2) s^(-1) ?

ALLEN-SIMPLE HARMONIC MOTION-Exercise-04 [B]
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  3. A nucleus of mass M+Deltam is at rest and decays into two daughter nuc...

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  4. A radioactive nucleus (initial mass number A and atomic number Z) emit...

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  8. Assume that a neutron breaks into a proton and an electron. The energy...

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  9. As an electron makes a transition from an excited state to the ground ...

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  11. If one were to apply Bohr model to a particle of mass 'm' and charge '...

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