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A ball is launched from ground level with an initial upwards velocity of 20 m/s and an initial horizontal velocity of 30 m/s. How far from its starting position does the ball land assuming the ground is level?
Calculate the maximum distance from a goal post that a player must stand if he must shoot the ball to score a goal,assuming the player can shoot the ball with a maximum velocity of 10 metre per second
Two small metallic spheres each of mass m = 0.200 g are suspended as pendulums by light strings of length L shown. The spheres are given the same electric charge of 7.2 nC, and they come to equilibrium when each string is at an angle θ = 5.00o with the vertical. How long are the strings?
Is schhrodinger equation used in time dependent or independent perburtion equation.why?
Is schhrodinger equation used in time dependent or independent perburtion equation.why?

Show that megnatic quantum no aries naturally in schorgers time independent equcation in hydrogen atom


. A thermal neutron has a speed of ν that corresponds to room temperature T=300K. What is the wavelength of a thermal neutron ?


1.Could you mention what is paradoxical or nonintuitive about the quantum measurement process for a single quantum particle in a superposition of two or more of the eigenstates of the measurement operator and for a two-particles system in an entangled state?

2.Is this an entangled state or not? Why? 0.5*{|↑↑> - |↑↓> + |↓↑> - |↓↓>}
The nucleus of thorium isotope ²³⁴90Th undergoes three consecutive alpha decays . Determine the charge of the resulting isotope
The following wave function |A> given as:
|A> = (9-2i) |u_1> + 4i |u_2> - |u_3 + i|u_4

(a) Find the dual vector <A|
(b) If |u_1> is under an orthonormal base, find the representation of |A> as a column vector in the basis given.