Home
Class 12
PHYSICS
X amount of energy is required to remove...

X amount of energy is required to remove an electron from its orbit and Y amount of energy is required to remove a nucleon from the nucleus.

A

`X=Y`

B

`XgtY`

C

`YgtX`

D

`XgeY`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to compare the energy required to remove an electron from its orbit (X) with the energy required to remove a nucleon from the nucleus (Y). ### Step-by-Step Solution: 1. **Identify the Energy Required to Remove an Electron (X)**: - The energy required to remove an electron from its ground state in a hydrogen atom is approximately **13.6 eV** (electron volts). - For other atoms, this energy is multiplied by \( Z^2 \), where \( Z \) is the atomic number of the element. However, for the sake of this comparison, we will consider the base case of hydrogen. 2. **Identify the Energy Required to Remove a Nucleon (Y)**: - The energy required to remove a nucleon (which can be either a proton or a neutron) from the nucleus is significantly higher due to the strong nuclear force that binds nucleons together. - The average energy required to remove a nucleon is about **6 to 10 MeV** (mega electron volts), where 1 MeV = \( 10^6 \) eV. This translates to approximately **6,000,000 eV to 10,000,000 eV**. 3. **Comparison of X and Y**: - From the values we have: - \( X \approx 13.6 \, \text{eV} \) - \( Y \approx 6 \times 10^6 \, \text{eV} \) to \( 10 \times 10^6 \, \text{eV} \) - Clearly, \( Y \) (energy to remove a nucleon) is much greater than \( X \) (energy to remove an electron). 4. **Conclusion**: - Therefore, we conclude that \( Y > X \). The correct option is that the energy required to remove a nucleon from the nucleus (Y) is greater than the energy required to remove an electron from its orbit (X). ### Final Answer: **Y is greater than X (Y > X)**.

To solve the problem, we need to compare the energy required to remove an electron from its orbit (X) with the energy required to remove a nucleon from the nucleus (Y). ### Step-by-Step Solution: 1. **Identify the Energy Required to Remove an Electron (X)**: - The energy required to remove an electron from its ground state in a hydrogen atom is approximately **13.6 eV** (electron volts). - For other atoms, this energy is multiplied by \( Z^2 \), where \( Z \) is the atomic number of the element. However, for the sake of this comparison, we will consider the base case of hydrogen. ...
Promotional Banner

Similar Questions

Explore conceptually related problems

The minimum energy required to remove an electron is called

It the energy required to eject an electron from an atom is E_(e ) and the energy required to eject a nucleon from a nucleus is E_(n) then

What is the energy required to remove an electron from second orbit of hydrogen atom ?

Highest amount of energy will be required for the removal of electron from

The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energy required to remove an electron from Helium atom. The total energy required to ionize the Helium atom ompletelyis:

If E_(e) is the energy needed to remove an electron from atom and E_(n) be energy needed remove a nucleion, then:

The energy required to remove an electron in a hydrogen atom from n = 10 state is

Assertion Energy E_(1) is required to remove first electron from helium atom and energy E_(2) is to required to remove the second electron . Them E_(1)ltE_(2). Reason Ionisation energy of single electron of He^(+) is 54.4 eV.