16) The uncertainty in the position of a flying dust particle of mass 0.1mg is found to be 104m. The uncertainty in the position of another flying dust particle of mass 0.5 mg is also found to be the same.
i) What is nearly the uncertainty in the velocity of lighter dust particles?
ii). What will be the fraction of uncertainty in the velocity of the heavier dust particle as compared to the lighter dust particles ?
Answers
Answer:
The existence of a new class of astrophysical objects, where gravity is balanced by the shielded electric fields associated with the electric charge on the dust, is shown. Further, a mass limit MA for the maximum dust mass that can be supported against gravitational collapse by these fields is obtained. If the total mass of the dust in the interstellar cloud MD > MA, the dust collapses, while if MD < MA, stable equilibrium may be achieved. Heuristic arguments are given to show that the physics of the mass limit is similar to the Chandrasekar's mass limit for compact objects and the similarity of these dust configurations with neutron and white dwarfs is pointed out. The effect of grain size distribution on the mass limit and strong correlation effects in the core of such objects is discussed. Possible location of these dust configurations inside interstellar clouds is pointed out.
Explanation:
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