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A car starts from rest and moves with a constant acceleration for 8 sec .the net force is parallel to the displacement. What is the ratio of the increase in kinetic energy of the car over first and next 4sec interval of its motion?


A box having a mass of 80.0kg is dragged across a rough horizontal floor by means of a rope tied on the front of it. The coefficient of friction between the box and the floor is 0.450. If the angle between the rope and the floor is 38.0 degrees, what force must be exerted on the rope to move the box at a constant velocity ? 


A particle trapped in a one-dimensional box of length L is described by the wave function ψ = ax. What is the probability that the particle is lying between L1 and L2?


What is meant by the expectation of a dynamical variable, how is it obtained mathematically?


The wave function for a certain particle is 𝛹 = 𝐴cos2𝑥 𝑓𝑜𝑟 − 𝜋

2 < 𝑥 < 𝜋

2

Find the value

of A.


The normalized wave function for a certain particle is 𝛹 = √ 83𝜋

cos2𝑥 𝑓𝑜𝑟 − 𝜋

2 < 𝑥 < 𝜋

2

 Calculate the probability that the particle can be found between x = 0 and x=𝜋

4



1. A particle trapped in a one-dimensional box of length L is described by the wave function

  = ax. What is the probability that the particle is lying between L1 and L2?



The distance from earth surface to moon surface is 3.8x105 km. Calculate areal spread and angular spread for a laser of wavelength 632.8 nm and aperture 0.5 mm when it reaches moon.


Ψ (x) = (γ/π)^1/4 exp (-γ^2x^2)/2 

V(x) = ?

 A rock is thrown horizontally from the top of a cliff 88 m high, with a horizontal speed of 25 m/s. For what interval of time is the rock in the air


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