Q 44 Through what potential differenc... [FREE SOLUTION]

Chapter 37: Q 44 (page 1083)

Through what potential difference would you need to accelerate an alpha particle, starting from rest, so that it will just reach the surface of a 15-fm-diameter ²³⁸U nucleus?

Short Answer

Expert verified

The potential difference with which we need to accelerate the alpha particle is $1.766 脳 10^{7} V$

Step by step solution

Step 1. Given information is :Nucleus is of 238UDiameter = 15 fm

We need to find out the potential difference with which we need to accelerate the alpha particle so that it will just reach the surface of a 15-fm-diameter²³⁸U nucleus

Step 2. Using Conservation of energy

$K_{i n i t i a l} + U_{i n i t i a l} = K_{f i n a l} + U_{f i n a l} U_{i n i t i a l} = 0 U_{f i n a l} = \frac{1}{4 蟺 {鈭�}_{o}} \frac{q_{1} q_{2}}{r} U_{f i n a l} = \frac{1}{4 蟺 {鈭�}_{o}} \frac{(2 e) (92 e)}{r} K_{f i n a l} = 0 P u t t i n g v a l u e s, K_{i n i t i a l} + 0 = 0 + U_{f i n a l} K_{i n i t i a l} = \frac{1}{4 蟺 {鈭�}_{o}} \frac{(2 e) (92 e)}{r} K_{i n i t i a l} = q 鈭� V 鈭� V = \frac{K_{i n i t i a l}}{q} q = 2 e f o r a l p h a p a r t i c l e 鈭� V = \frac{K_{i n i t i a l}}{2 e} 鈭� V = \frac{\frac{1}{4 蟺 {鈭�}_{o}} \frac{(2 e) (92 e)}{r}}{2 e} = \frac{1}{4 蟺 {鈭�}_{o}} \frac{(92 e)}{r} 鈭� V = 9 脳 10^{9} 脳 \frac{92 脳 1.6 脳 10^{- 19}}{7.5 脳 10^{- 15}} 鈭� V = 1.766 脳 10^{7} V$

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91影视

Through what potential difference would you need to accelerate an alpha particle, starting from rest, so that it will just reach the surface of a 15-fm-diameter ²³⁸U nucleus?

Short Answer

Step by step solution

Step 1. Given information is :Nucleus is of 238UDiameter = 15 fm

Step 2. Using Conservation of energy

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91影视

Through what potential difference would you need to accelerate an alpha particle, starting from rest, so that it will just reach the surface of a 15-fm-diameter 238U nucleus?

Short Answer

Step by step solution

Step 1. Given information is :Nucleus is of 238UDiameter = 15 fm

Step 2. Using Conservation of energy

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Further Mechanics and Thermal Physics

Solid State Physics

Kinematics Physics

Magnetism

Waves Physics

Electrostatics

Study anywhere. Anytime. Across all devices.

Through what potential difference would you need to accelerate an alpha particle, starting from rest, so that it will just reach the surface of a 15-fm-diameter ²³⁸U nucleus?