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An airplane is in supersonic flight at an altitude h. At what smallest distance a (along the horizontal) from the observer on the ground is there a point from which the sound emitted by the airplane motors travels to the observer faster than from point A that is directly above the observer –

(a) a<2(v_p/v_s )/((v_p/v_s )^2-1) h
(b) a<((v_p/v_s ))/((v_p/v_s )^2-1) h
(c) not possible for any real value of a
(d) a>2(v_p/v_s )/((v_p/v_s )^2-1) h
where vp = velocity of airplane, vs = velocity of sound

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Kevin Nash , 12 Years ago
Grade upto college level
anser 1 Answers
Radhika Batra

(a)

    t = √(a^2+h^2 )/v_s  =>  t_2=a/v_p +h/v_s ;    t1 < t2¬

    a < 2(v_p/v_s )/((v_p/v_s )^2-1) h

Last Activity: 12 Years ago
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