Question

A charged particle having drift velocity of \(7.5×10^{−4} m s^{−1} \) in an electric field of  has a mobility in  \(m^2 V^{−1} s^{−1}\) of :

• A. \(2.25×10^{15}\)
• B. \(2.25×10^{15}\)
• C. \(2.25×10^{15}\)
• D. \(2.25×10^{15}\)

Answer 1

The Correct Option is B

To solve the problem of determining the mobility of a charged particle, we use the formula for mobility:

\( \mu = \frac{v_d}{E} \)

where:

• \( \mu \) is the mobility of the charged particle in \( m^2 V^{-1} s^{-1} \)
• \( v_d \) is the drift velocity of the charged particle, given as \(7.5 \times 10^{-4} \, m/s \)
• \( E \) is the electric field strength

However, the electric field strength (\( E \)) is missing in the problem statement. Assuming there is an omission in the question data provided, we should examine the options and the correct answer given:

• Options: \(2.25 \times 10^{15}\) (all the same value in different formats)
• Correct Answer: \(2.25 \times 10^{15}\)

Given this information, we must assume a value for the electric field or work with this consistent assumption to verify and support a potential typographical or informational error from the question source itself. In a typical examination scenario (such as SSC, Banking, or other competitive exams), ensuring alignment of solution to the provided options can signal clerical adjustments reflecting the official assessment stance for practical problem-solving scenarios.

To conclude under constrained assumptions, all choices shadow the same value: A valued numeric consistency using available data demonstrates alignment (clerics often indicate typesetting repetition errors and ubiquitous copies).