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Wavelength associated with an electron having KE 3.0 x 10-25 J is x *10-7 m.
Q. What is the value of x? (Round of to nearest integer)
Correct answer is '9'. Can you explain this answer?
Most Upvoted Answer
Wavelength associated with an electron having KE 3.0 x 10-25 J is x *1...
Understanding the Problem
To find the wavelength of an electron with a given kinetic energy (KE), we will use the de Broglie wavelength formula. The kinetic energy is provided as 3.0 x 10-25 J.
De Broglie Wavelength Formula
The de Broglie wavelength (λ) is given by the equation:
- λ = h / p
Where:
- h is Planck's constant (6.626 x 10-34 J·s)
- p is the momentum of the electron, which can be calculated using:
- p = sqrt(2 * m * KE)
Here, m is the mass of the electron (approximately 9.11 x 10-31 kg).
Calculating the Momentum
- Substitute the known values:
- KE = 3.0 x 10-25 J
- m = 9.11 x 10-31 kg
- Calculate p:
- p = sqrt(2 * 9.11 x 10-31 kg * 3.0 x 10-25 J)
Calculating the Wavelength
- Now substitute p back into the de Broglie formula:
- λ = h / p
- Substitute h = 6.626 x 10-34 J·s and the calculated momentum to find λ.
Final Calculation and Conversion
- After performing the calculations, you will find that λ is approximately 9 x 10-7 m when expressed in the desired format (x x 10-7 m).
Conclusion
Thus, the value of x is 9, confirming that the wavelength associated with the electron having a KE of 3.0 x 10-25 J is indeed 9 x 10-7 m.
To find the wavelength of an electron with a given kinetic energy (KE), we will use the de Broglie wavelength formula. The kinetic energy is provided as 3.0 x 10-25 J.
De Broglie Wavelength Formula
The de Broglie wavelength (λ) is given by the equation:
- λ = h / p
Where:
- h is Planck's constant (6.626 x 10-34 J·s)
- p is the momentum of the electron, which can be calculated using:
- p = sqrt(2 * m * KE)
Here, m is the mass of the electron (approximately 9.11 x 10-31 kg).
Calculating the Momentum
- Substitute the known values:
- KE = 3.0 x 10-25 J
- m = 9.11 x 10-31 kg
- Calculate p:
- p = sqrt(2 * 9.11 x 10-31 kg * 3.0 x 10-25 J)
Calculating the Wavelength
- Now substitute p back into the de Broglie formula:
- λ = h / p
- Substitute h = 6.626 x 10-34 J·s and the calculated momentum to find λ.
Final Calculation and Conversion
- After performing the calculations, you will find that λ is approximately 9 x 10-7 m when expressed in the desired format (x x 10-7 m).
Conclusion
Thus, the value of x is 9, confirming that the wavelength associated with the electron having a KE of 3.0 x 10-25 J is indeed 9 x 10-7 m.
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Wavelength associated with an electron having KE 3.0 x 10-25 J is x *10-7 m.Q. What is the value of x? (Round of to nearest integer)Correct answer is '9'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Wavelength associated with an electron having KE 3.0 x 10-25 J is x *10-7 m.Q. What is the value of x? (Round of to nearest integer)Correct answer is '9'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wavelength associated with an electron having KE 3.0 x 10-25 J is x *10-7 m.Q. What is the value of x? (Round of to nearest integer)Correct answer is '9'. Can you explain this answer?.
Wavelength associated with an electron having KE 3.0 x 10-25 J is x *10-7 m.Q. What is the value of x? (Round of to nearest integer)Correct answer is '9'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Wavelength associated with an electron having KE 3.0 x 10-25 J is x *10-7 m.Q. What is the value of x? (Round of to nearest integer)Correct answer is '9'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wavelength associated with an electron having KE 3.0 x 10-25 J is x *10-7 m.Q. What is the value of x? (Round of to nearest integer)Correct answer is '9'. Can you explain this answer?.
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