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

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.