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Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum?
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Ab particle with charge q and mass m starts its motion from origin wit...
Analysis:
To find the component of velocity vector in the y-direction when the z-coordinate is maximum, we can analyze the motion of the charged particle in the uniform magnetic field. The Lorentz force acting on the particle is given by the equation F = q(V x B), where V is the velocity of the particle, B is the magnetic field, and x represents the cross product.

Determination of Maximum Z-coordinate:
When the charged particle moves in a uniform magnetic field, it follows a helical path due to the Lorentz force. As the particle moves along this helical path, the z-coordinate will vary. To determine the maximum z-coordinate, we need to analyze the motion of the particle in the magnetic field.

Component of Velocity Vector:
When the z-coordinate is maximum, the particle is at the peak of its helical motion along the z-axis. At this point, the velocity vector of the particle will have a component in the y-direction. This component can be determined by analyzing the motion of the particle at the maximum z-coordinate.

Formula for Component of Velocity in Y-direction:
The component of the velocity vector in the y-direction can be calculated using the equation Vy = V * sin(theta), where theta is the angle between the velocity vector and the y-axis. At the maximum z-coordinate, the angle theta can be determined based on the helical motion of the particle.

Conclusion:
In conclusion, the component of the velocity vector in the y-direction can be determined by analyzing the motion of the charged particle in the uniform magnetic field at the maximum z-coordinate. By applying the Lorentz force equation and considering the helical path of the particle, we can calculate the velocity component in the y-direction accurately.
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Passage 2Newtons surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state ofthe universe.Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplaces omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particles future wave function. These calculations can give the particles position or velocity, but not both. Thus, the physicist is in possession of exactly half ofthe information needed to satisfy Laplaces view ofdeterminism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future.Q. The passage suggests that if scientific determinism were true

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Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum?
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Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum?.
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