GATE Exam  >  GATE Questions  >  The density of copper (Cu) is 8.90 g/m3 with ... Start Learning for Free
The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)
    Correct answer is between '1.5,1.7'. Can you explain this answer?
    Verified Answer
    The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electro...

    n = concentration of free electron

    and for electron, 
    ⇒ 
    View all questions of this test
    Most Upvoted Answer
    The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electro...
    Calculation of Plasma Frequency of Copper

    Density of Copper

    - Given density of copper = 8.90 g/m^3

    Contribution of Electron/Atom

    - Given contribution of electron/atom = 1

    Atomic Weight of Copper

    - Given atomic weight of copper = 63.5

    Formula for Plasma Frequency

    The formula for plasma frequency is given by:

    ωp = √(ne^2 / ε0m)

    where,

    - ωp = Plasma frequency
    - n = Number density of electrons
    - e = Charge of electron
    - ε0 = Permittivity of free space
    - m = Mass of electron

    Number Density of Electrons

    Number density of electrons can be calculated using the following formula:

    n = ρN / M

    where,

    - N = Avogadro's number = 6.022 x 10^23 atoms/mol
    - M = Atomic weight of copper = 63.5 g/mol
    - ρ = Density of copper = 8.90 g/m^3

    By substituting the given values in the formula, we get:

    n = (8.90 g/m^3 x 6.022 x 10^23 atoms/mol) / 63.5 g/mol
    n = 8.39 x 10^22 electrons/m^3

    Plasma Frequency of Copper

    Now, we can substitute the calculated values in the plasma frequency formula:

    ωp = √(ne^2 / ε0m)
    ωp = √((8.39 x 10^22 electrons/m^3 x (1.602 x 10^-19 C)^2) / (8.854 x 10^-12 F/m x 9.109 x 10^-31 kg))
    ωp = 1.67 x 10^16 /s

    Rounding off the answer to one decimal place, we get:

    Plasma frequency of copper = 1.7 x 10^16 /s

    Therefore, the correct answer falls between 1.5 and 1.7 x 10^16 /s.
    Explore Courses for GATE exam

    Similar GATE Doubts

    The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer?
    Question Description
    The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer?.
    Solutions for The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
    Here you can find the meaning of The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer?, a detailed solution for The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer? has been provided alongside types of The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The density of copper (Cu) is 8.90 g/m3 with contribution of 1 electron/atom. The plasma frequency of copper is_______x 1016 /s. (Given atomic weight = 63.5)(Round off to one decimal place)Correct answer is between '1.5,1.7'. Can you explain this answer? tests, examples and also practice GATE tests.
    Explore Courses for GATE exam
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev