Question

The electron gun in a television tube uses a uniform electric field to accelerate electrons from rest to 4.1 x 10^7 m/s in a distance of 1.4 cm

Answer 1

Answer:

a = 6 x 10¹⁶ m/s²

Explanation:

The acceleration of the electrons can be found by using the third equation of motion:

$2as = v_f^2-v_i^2$

where,

a = acceleration = ?

s = distance = 1.4 cm = 0.014 m

vf = final speed = 4.1 x 10⁷ m/s

vi = initial speed = 0 m/s

Therefore,

$2a(0.014\ m) = (4.1\ x\ 10^7\ m/s)^2-(0\ m/s)^2\\\\a = \frac{1.681\ x\ 10^{15}\ m^2/s^2}{0.028\ m}$

a = 6 x 10¹⁶ m/s²

Answer 2

The acceleration of the electron will be a = 6 x 10¹⁶ m/s²

What is acceleration?

The acceleration is defined as when the velocity of any moving object changes with respect to the time it is called as the acceleration.

The acceleration of the electrons can be found by using the third equation of motion:

$2as=v_f^2-v_i^2$

where,

a = acceleration = ?

s = distance = 1.4 cm = 0.014 m

vf = final speed = 4.1 x 10⁷ m/s

vi = initial speed = 0 m/s

Therefore, By putting the values we will get

$2a(0.014)=(4.1\times 10^7)-(0)$

$a=\dfrac{1.681\times 10^{15}}{0.028}$

a = 6 x 10¹⁶ m/s²

Thus the acceleration of the electron will be a = 6 x 10¹⁶ m/s²

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