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The total energy of an electron in an at...

The total energy of an electron in an atom in an orbit is `-3.4eV`. Its kinetic and potential energies are, respectively:

A

3.4eV,3.4eV

B

`-3.4eV,-3.4ev`

C

`-3.4eV,-6.8eV`

D

`3.4 eV,-6.8eV`

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The correct Answer is:
To solve the problem, we need to find the kinetic energy (KE) and potential energy (PE) of an electron in an atom given that the total energy (TE) is -3.4 eV. ### Step-by-Step Solution: 1. **Understanding Total Energy**: The total energy (TE) of an electron in an orbit is given by the formula: \[ TE = KE + PE \] where KE is the kinetic energy and PE is the potential energy. 2. **Using the Relationships**: For an electron in an atom, there are specific relationships between the total energy, kinetic energy, and potential energy: - The kinetic energy (KE) is equal to the negative of the total energy: \[ KE = -TE \] - The potential energy (PE) is twice the total energy: \[ PE = 2 \times TE \] 3. **Calculating Kinetic Energy**: Given that the total energy \( TE = -3.4 \, \text{eV} \): \[ KE = -(-3.4 \, \text{eV}) = 3.4 \, \text{eV} \] 4. **Calculating Potential Energy**: Now, we can calculate the potential energy: \[ PE = 2 \times (-3.4 \, \text{eV}) = -6.8 \, \text{eV} \] 5. **Final Results**: Thus, the kinetic energy and potential energy of the electron are: - Kinetic Energy (KE) = \( 3.4 \, \text{eV} \) - Potential Energy (PE) = \( -6.8 \, \text{eV} \) ### Summary of Results: - Kinetic Energy (KE) = \( 3.4 \, \text{eV} \) - Potential Energy (PE) = \( -6.8 \, \text{eV} \)

To solve the problem, we need to find the kinetic energy (KE) and potential energy (PE) of an electron in an atom given that the total energy (TE) is -3.4 eV. ### Step-by-Step Solution: 1. **Understanding Total Energy**: The total energy (TE) of an electron in an orbit is given by the formula: \[ TE = KE + PE ...
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