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Chapter 12: Q8CQ (page 555)

Equation (12·5) would apply to any given chunk of an expanding spherical mass. provided that no chunks overtake any others-if, for instance,speed increases, with distance from the origin. Why? (Think of Gauss’­ law from electrostatics).

Short Answer

Expert verified

The chunk’s motion inside the planet does not change and the speed is also described by the equation (12-5).

Step by step solution

01

Significance of Gauss law:

The Gauss law states that the electric flux is mainly equal to the division of the charge enclosed by the permittivity. It is mainly used in electrostatics.

02

Determination of the reason why speed increases with distance:

The field of gravity is mainly dependent on the enclosed surface’s mass and also the mass’ distance. The field is also independent of the speed whether it increases or decreases with the change in the radius.

Thus, the chunk’s motion inside the planet does not change and the speed is also described by the equation (12-5).

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Most popular questions from this chapter

In non-relavistic quantum mechanics, governed by the Schrodinger equation, the probability of finding a particle does not change with time.

(a)

Prove it, Begin with the time derivative of the total probability

ddt∫Ψ*(x,t)Ψ'(x,t)dx=∫(Ψ(x,t)∂∂tΨ*(x,t)+Ψ*(x,t)∂∂tΨ(x,t))dx

Then use the Schrodinger equation to eliminate the partial time derivatives, integrate by parts, and show that the result is zero. Assume that the particle is well localised, so that ψ and ∂ψ∂xare 0 when evaluated at .±∞

(b) Does this procedure lead to the same conclusion if Wave function obeyKlein-Gordon rather than Shrodinger equation? Why and why not?

Does the requirement of color neutrality for a real particle prohibit the existence of hadrons containing 4 quarks? 5 quarks?Any number? If so, why? If not, what rules would apply?

From the masses of the weak bosons given in Table 12.1, show that range is of weak part of electroweak force should be about 10−3 fm.

In the following exercises, two protons are smashed together in an attempt to convert kinetic energy into mass and new particles. Indicate whether the proposed reaction is possible. If not, indicate which rules are violated. Consider only those for charge, angular momentum, and baryon number If the reaction is possible, calculate the minimum kinetic energy required of the colliding protons.

p+p→p+K+

You are a promising theoretical physicist who does not believe that gravity is a distinct fundamental force but is instead related to the other forces by an all-encompassing relativistic, quantum-mechanical theory. In particular, you do not believe that the universal gravitational constant G is really one of nature's elite set of fundamental constants. You believe that Gcan be derived from more-basic constants: the fundamental constant of quantum mechanics, Planck's constanth ; the fundamental speed limiting the propagation of any force, the speed of lightc ; and one other- a fundamental length l, important to the one unified force. Using simply dimensional analysis, find a formula for G, and then an order-of magnitude value for the fundamental length.
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