In an electron gun of a television set, an electron with an initial speed of 10^3 m/s enters a region where it is electrically accelerated. It emerges out of this region after 1 micro second with speed of 4 × 10^5 m/s. What is the acceleration in m/s2
Question
In an electron gun of a television set, an electron with an initial speed of 10^3 m/s enters a region where it is electrically accelerated. It emerges out of this region after 1 micro second with speed of 4 × 10^5 m/s. What is the acceleration in m/s2
Solution
The acceleration of an object can be calculated using the formula:
a = (v_f - v_i) / t
where: a is the acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time.
In this case, the initial velocity (v_i) of the electron is 10^3 m/s, the final velocity (v_f) is 4 × 10^5 m/s, and the time (t) is 1 microsecond, which is 1 × 10^-6 seconds.
Substituting these values into the formula gives:
a = (4 × 10^5 m/s - 10^3 m/s) / 1 × 10^-6 s a = (4 × 10^5 m/s - 10^3 m/s) × 10^6 a = (4 × 10^5 - 10^3) × 10^6 m/s^2 a = (4 × 10^2) × 10^6 m/s^2 a = 4 × 10^8 m/s^2
So, the acceleration of the electron is 4 × 10^8 m/s^2.
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