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A current of 10 A is maintained in a conductor of cross section 1cm2. If number density of free electrons be 9×10′28 m-3, the drift velocity of free electrons is 1) 6.94 ×10^-6 m/s 2) 5.94 × 10^-2 m/s 3) 1.94 × 10 ^-3 m/s 4) 2.94 × 10^-4 m/s?
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A current of 10 A is maintained in a conductor of cross section 1cm2. ...
Drift velocity of free electrons in a conductor can be calculated using the formula:
𝑉𝑑 = 𝐼/(𝑛𝑒𝐴𝑞)
Where:
𝑉𝑑 is the drift velocity of electrons,
𝐼 is the current in Amperes,
𝑛𝑒 is the number density of free electrons (number of free electrons per unit volume),
𝐴 is the cross-sectional area of the conductor, and
𝑞 is the charge of an electron.
Given:
𝐼 = 10 A,
𝐴 = 1 cm^2 = 1 × 10^−4 m^2,
𝑛𝑒 = 9 × 10^28 m^−3,
𝑞 = 1.6 × 10^−19 C.
Let's plug in the values and solve for 𝑉𝑑:
𝑉𝑑 = 10 / (9 × 10^28 × 1 × 10^−4 × 1.6 × 10^−19)
Simplifying the expression:
𝑉𝑑 = 10 / (14.4 × 10^9 × 1.6 × 10^−19)
𝑉𝑑 = 10 / (23.04 × 10^−10)
𝑉𝑑 = 10 / 2.304 × 10^−9
𝑉𝑑 = 10 × 10^9 / 2.304
𝑉𝑑 = 4.34 × 10^9
Therefore, the drift velocity of free electrons is approximately 4.34 × 10^9 m/s.
Answer: None of the options provided (as none of them matches the calculated value).
Please note that there might be an error in the question or the answer options provided. It is recommended to double-check the given values and options.
𝑉𝑑 = 𝐼/(𝑛𝑒𝐴𝑞)
Where:
𝑉𝑑 is the drift velocity of electrons,
𝐼 is the current in Amperes,
𝑛𝑒 is the number density of free electrons (number of free electrons per unit volume),
𝐴 is the cross-sectional area of the conductor, and
𝑞 is the charge of an electron.
Given:
𝐼 = 10 A,
𝐴 = 1 cm^2 = 1 × 10^−4 m^2,
𝑛𝑒 = 9 × 10^28 m^−3,
𝑞 = 1.6 × 10^−19 C.
Let's plug in the values and solve for 𝑉𝑑:
𝑉𝑑 = 10 / (9 × 10^28 × 1 × 10^−4 × 1.6 × 10^−19)
Simplifying the expression:
𝑉𝑑 = 10 / (14.4 × 10^9 × 1.6 × 10^−19)
𝑉𝑑 = 10 / (23.04 × 10^−10)
𝑉𝑑 = 10 / 2.304 × 10^−9
𝑉𝑑 = 10 × 10^9 / 2.304
𝑉𝑑 = 4.34 × 10^9
Therefore, the drift velocity of free electrons is approximately 4.34 × 10^9 m/s.
Answer: None of the options provided (as none of them matches the calculated value).
Please note that there might be an error in the question or the answer options provided. It is recommended to double-check the given values and options.
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A current of 10 A is maintained in a conductor of cross section 1cm2. If number density of free electrons be 9×10′28 m-3, the drift velocity of free electrons is 1) 6.94 ×10^-6 m/s 2) 5.94 × 10^-2 m/s 3) 1.94 × 10 ^-3 m/s 4) 2.94 × 10^-4 m/s?
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A current of 10 A is maintained in a conductor of cross section 1cm2. If number density of free electrons be 9×10′28 m-3, the drift velocity of free electrons is 1) 6.94 ×10^-6 m/s 2) 5.94 × 10^-2 m/s 3) 1.94 × 10 ^-3 m/s 4) 2.94 × 10^-4 m/s? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A current of 10 A is maintained in a conductor of cross section 1cm2. If number density of free electrons be 9×10′28 m-3, the drift velocity of free electrons is 1) 6.94 ×10^-6 m/s 2) 5.94 × 10^-2 m/s 3) 1.94 × 10 ^-3 m/s 4) 2.94 × 10^-4 m/s? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A current of 10 A is maintained in a conductor of cross section 1cm2. If number density of free electrons be 9×10′28 m-3, the drift velocity of free electrons is 1) 6.94 ×10^-6 m/s 2) 5.94 × 10^-2 m/s 3) 1.94 × 10 ^-3 m/s 4) 2.94 × 10^-4 m/s?.
A current of 10 A is maintained in a conductor of cross section 1cm2. If number density of free electrons be 9×10′28 m-3, the drift velocity of free electrons is 1) 6.94 ×10^-6 m/s 2) 5.94 × 10^-2 m/s 3) 1.94 × 10 ^-3 m/s 4) 2.94 × 10^-4 m/s? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A current of 10 A is maintained in a conductor of cross section 1cm2. If number density of free electrons be 9×10′28 m-3, the drift velocity of free electrons is 1) 6.94 ×10^-6 m/s 2) 5.94 × 10^-2 m/s 3) 1.94 × 10 ^-3 m/s 4) 2.94 × 10^-4 m/s? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A current of 10 A is maintained in a conductor of cross section 1cm2. If number density of free electrons be 9×10′28 m-3, the drift velocity of free electrons is 1) 6.94 ×10^-6 m/s 2) 5.94 × 10^-2 m/s 3) 1.94 × 10 ^-3 m/s 4) 2.94 × 10^-4 m/s?.
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