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Calculate the charge on .(26)F^(56) nucl...

Calculate the charge on `._(26)F^(56)` nucleus. Given charge on a proton `=1.6xx10^(-19)` C.

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To calculate the charge on the nucleus of the isotope \( _{26}^{56}F \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Atomic Number and Mass Number**: The atomic number (Z) of the isotope \( _{26}^{56}F \) is 26. This indicates the number of protons in the nucleus. The mass number (A) is 56, but for this calculation, we only need the atomic number. 2. **Determine the Number of Protons**: The number of protons in the nucleus is equal to the atomic number. Therefore, the number of protons \( N_p = 26 \). 3. **Charge of a Proton**: The charge of a single proton is given as \( e = 1.6 \times 10^{-19} \) C. 4. **Calculate the Total Charge of the Nucleus**: The total charge \( Q \) on the nucleus can be calculated using the formula: \[ Q = N_p \times e \] Substituting the values we have: \[ Q = 26 \times (1.6 \times 10^{-19}) \] 5. **Perform the Multiplication**: \[ Q = 41.6 \times 10^{-19} \text{ C} \] 6. **Convert to Scientific Notation**: To express \( 41.6 \times 10^{-19} \) in proper scientific notation, we move the decimal point one place to the left: \[ Q = 4.16 \times 10^{-18} \text{ C} \] 7. **Final Answer**: The charge on the nucleus of \( _{26}^{56}F \) is: \[ Q = 4.16 \times 10^{-18} \text{ C} \]
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