Modern Physics. Find the correct option(s)?

Answer 1

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(C) #3.42fm#

Writing equation for constituents of given nuclei #"_7^15##"N"=7p+8n-BE_N# .......(1) #"_8^15##"O"=8p+7n-BE_O# .......(2) where #p# is proton, #n# neutron and #BE# is binding energy of nucleus. When constituents of nucleus are brought together binding energy is released.
Subtracting (1) from (2) #"O"-"N"=8p+7n-BE_O-(7p+8n-BE_N)# #=>"O"-"N"=p-n-DeltaBE#
Inserting given values we get #15.003065-15.000109=1.007825-1.008665-DeltaBE# #=>0.002956=-0.00084-DeltaBE# #=>-DeltaBE=0.003796=3.535974Mev# ......(3)
Given electrostatic energy of nucleus is #E=3/5(Z(Z-1)e^2)/(4piepsilon_0R)#
Calculating respective electrostatic energies we get #E_"O"=3/5(8(8-1)e^2)/(4piepsilon_0R)# ......(4) #E_"N"=3/5(7(7-1)e^2)/(4piepsilon_0R)# .......(5)
As difference of binding energy is purely due to electrostatic energy, therefore, we have #DeltaBE=E_"N"-E_"O"#
Inserting values from equations (3), (4) and (5) and absorbing #-ve# sign we get #3.535974=3/5(8(8-1)e^2)/(4piepsilon_0R)-3/5(7(7-1)e^2)/(4piepsilon_0R)# #=>3.535974=3/5xx[8(8-1)-7(7-1)]xx((e^2)/(4piepsilon_0R))# #=>3.535974=3/5xx14xx1.44xx1/R# #=>R=3/5xx14xx1.44xx1/3.535974# #=>R=3.42fm#
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Answer 2

Sure, please provide the options for the question on Modern Physics.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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