a stone is dropped into a well of depth h then the sound of splash is heard after the time of t what is the time to hear Splash of sound
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Answered by
2
hey mate here is your answer.....
sound of splash = the height of well.....
hope it helps you...
:-)
sound of splash = the height of well.....
hope it helps you...
:-)
Answered by
4
Explanation:
For the 1st part the stone is falling under gravity. Let t1 be the time from release to splashdown.
d =depth
So d=12gt21 (1)
After splashdown the sound travels back up. Using 330m/s for the speed of sound this gives:
d=330×t2 (2)
We also know that:
t1+t2=2s (3)
Combining (1)and(2) we get:
330t2=12g.t21
From (3)⇒
t2=(2−t1)
So:
330(2−t1)=12.gt21
660−330t1=12.gt21
12gt21+330t1−660=0
Using the quadratic formula to solve for t1:
t1=−330±√(330)2−4×9.82×(−660)9.8
Ignoring the -ve root this gives:
t1=1.94s
So t2=2−1.94=0.06s
So d=330×t2=330×0.06=19.8m
For the 1st part the stone is falling under gravity. Let t1 be the time from release to splashdown.
d =depth
So d=12gt21 (1)
After splashdown the sound travels back up. Using 330m/s for the speed of sound this gives:
d=330×t2 (2)
We also know that:
t1+t2=2s (3)
Combining (1)and(2) we get:
330t2=12g.t21
From (3)⇒
t2=(2−t1)
So:
330(2−t1)=12.gt21
660−330t1=12.gt21
12gt21+330t1−660=0
Using the quadratic formula to solve for t1:
t1=−330±√(330)2−4×9.82×(−660)9.8
Ignoring the -ve root this gives:
t1=1.94s
So t2=2−1.94=0.06s
So d=330×t2=330×0.06=19.8m
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