(

(

2.3,

Tho probability of x is the Probability that the required value in the expression x = A cos (wt+φ),

o.nd ---------~---\,.,P(x) t!J( • 211 (cp) dip • Q!

1r ,,, ~-------· vbcra th'e factor ~r ~70 1ntl'oducc<l bccauoc tvo vnluca or qi give the cnma x.

Since

(b) We tllke the r atio of tho occupied volu::ie, ov, 1n pbnaP. spaea vhen th3 oac111Ator 1n 1n tb~ -, p razige x to x + d.~ 8!ld E to E + 6E, to tho toto.l aeccsoi ble

_._4 r· ._,:~

~ ? c ::- llll,)• x , p §£ • QE tl .& L .•• -

t.. ~

~', llbc~·:! '.·TC! 11.:iv:? u::ad (1). __.;j' "3 Thuo .....:i.· -<.,.. ;~ 2.4

l'{::)clJc • !!!! ~ 7'I p

o.nd •1 • ~ 8E w

(1)

" ~J -:,~=dx==2==2::::;2, V2mE - 111 i. x

~ (l ) <?.!ld X "A co:: (•»i: + GJ), it fo:!J.mn th:i't E,. ~ w2"'A2,

1 U:;. P(x)d:.c • - - --·-ll' 12? . './A'·x"'

. ;~ (11) Tba nuci'bar or i:eya tli..'\t N ~inn Clll:l bo arranged ouch tha.t D:z. ara J?l?rn.l.lcl Md. n2

are nnti--~ -~ p:J.rlll,lcl to the ~icld ia .,.-J ,-

;,

; o.nd ) ··,.<> :.4..u=.J.~ ~/l'(

} .tJ.-~ )·.~ i:>-.. ;'.:.·· \:.... {:. ...

¥ . tAj@§WW kflM$iifriilAi .. -z~, +N = - ! ,1

"' 7_;• 1 'VI., =-·!J.. - (:':.. I ._ ,,

.... 1

• • • • • • • • • • • • • • • • • • • • •• [ . • ~· •• :e ;. '• ~ . • • •

.. • •• • • • • • • • • • • • • •