To determine the angle between the electric field and the initial velocity of the charged particle, we need to use trigonometry.

1. First, identify the given angle options: 60°, 30°, 90°, 150°.
2. Next, recall that the angle between two vectors can be found using the dot product formula:
cosθ = (A · B) / (|A| |B|)
where A and B are the vectors and θ is the angle between them.
3. In this case, the electric field and initial velocity are the vectors. Let's assume the electric field vector is A and the initial velocity vector is B.
4. Calculate the dot product of A and B: A · B.
5. Calculate the magnitudes of A and B: |A| and |B|.
6. Substitute the values into the dot product formula: cosθ = (A · B) / (|A| |B|).
7. Calculate the value of cosθ using the given values of A · B, |A|, and |B|.
8. Finally, determine the angle θ by taking the inverse cosine (cos⁻¹) of cosθ.
9. Compare the calculated angle with the given options of 60°, 30°, 90°, 150° to find the correct answer.

Question

To determine the angle between the electric field and the initial velocity of the charged particle, we need to use trigonometry.

1. First, identify the given angle options: 60°, 30°, 90°, 150°.
2. Next, recall that the angle between two vectors can be found using the dot product formula: 
   cosθ = (A · B) / (|A| |B|)
   where A and B are the vectors and θ is the angle between them.
3. In this case, the electric field and initial velocity are the vectors. Let's assume the electric field vector is A and the initial velocity vector is B.
4. Calculate the dot product of A and B: A · B.
5. Calculate the magnitudes of A and B: |A| and |B|.
6. Substitute the values into the dot product formula: cosθ = (A · B) / (|A| |B|).
7. Calculate the value of cosθ using the given values of A · B, |A|, and |B|.
8. Finally, determine the angle θ by taking the inverse cosine (cos⁻¹) of cosθ.
9. Compare the calculated angle with the given options of 60°, 30°, 90°, 150° to find the correct answer.

Knowee AI · Accepted Answer

To determine the angle between the electric field and the initial velocity of the charged particle, we need to use trigonometry.

1. First, identify the given angle options: 60°, 30°, 90°, 150°.
2. Next, recall that the angle between two vectors can be found using the dot product formula: 
   cosθ = (A · B) / (|A| |B|)
   where A and B are the vectors and θ is the angle between them.
3. In this case, the electric field and initial velocity are the vectors. Let's assume the electric field vector is A and the initial velocity vector is B.
4. Calculate the dot product of A and B: A · B.
5. Calculate the magnitudes of A and B: |A| and |B|.
6. Substitute the values into the dot product formula: cosθ = (A · B) / (|A| |B|).
7. Calculate the value of cosθ using the given values of A · B, |A|, and |B|.
8. Finally, determine the angle θ by taking the inverse cosine (cos⁻¹) of cosθ.
9. Compare the calculated angle with the given options of 60°, 30°, 90°, 150° to find the correct answer.

The electric field and initial velocity of the charged particle are inclined at angleChoose answer: 60° 30° 90° 150°

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