Γ'Λυκ-Κεφ3 Κυματική-Προσομοίωση Πειράματος Στάσιμων Κυμάτων σε Χορδή

Προσομοίωση τής [b]Προτεινόμενης Δραστηριότητας: Στάσιμα Κύματα σε Χορδή[/b].[br][br]Στο πιο κάτω σχήμα φαίνεται η πειραματική διάταξη που χρησιμοποιούμε για την δημιουργία στάσιμου κύματος σε χορδή. Στη θέση x = 0 βρίσκεται ο διεγέρτης και στη θέση x = L η χορδή εφάπτεται στην τροχαλία. Και τα δύο σημεία θεωρούνται ακλόνητα. Η χορδή τείνεται με δύναμη μέτρου [i]Τ[/i] υπό την επίδραση των σταθμών.[br][br][img]data:image/png;base64,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[/img][br][br][b][u]Μέρος Α[/u].[/b] [b]Αριθμός Κοιλιών σε σχέση με τη συχνότητα.[br][/b][br][u]Πειραματική διαδικασία:[/u][br]1) Να μετρήσετε το μήκος της χορδής L, που αντιστοιχεί στην απόσταση μεταξύ των δύο σταθερών σημείων και να το καταγράψετε στον Πίνακα 1.[br]2) Αφού θέσετε τον διεγέρτη σε λειτουργία να αυξήσετε σταδιακά τη συχνότητα f μέχρι να παρατηρήσετε στάσιμο κύμα με μία κοιλία. Να σημειώσετε στον Πίνακα 1 την τιμή της συχνότητας.[br]3) Να επαναλάβετε το βήμα 2 έτσι ώστε να παρατηρήσετε στάσιμα κύματα με 2, 3, 4 και 5 κοιλίες. Να συμπληρώσετε τις αντίστοιχες τιμές της συχνότητας στον Πίνακα 1.[br]4) Με βάση τις μετρήσεις σας να υπολογίσετε το μήκος κύματος λ, των τρεχόντων κυμάτων από τα οποία προκύπτει το κάθε στάσιμο κύμα.[br][br][img]data:image/png;base64,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[/img][br][br][b]*[/b]Η προσομοίωση παρουσιάζει τη χορδή μόνο όταν δημιουργείται στάσιμο κύμα.
Μήκος κύματος των τρεχόντων κυμάτων.
[b]A.[/b] Το μήκος κύματος των τρεχόντων κυμάτων για τα οποία δημιουργείται στάσιμο κύμα, μπορεί να πάρει οποιαδήποτε τιμή; Από τι εξαρτάται η τιμή του μήκους κύματος για στάσιμο κύμα με δεδομένο αριθμό κοιλιών;
Συχνότητα f των τρεχόντων κυμάτων
[b]Β.[/b] Να συγκρίνετε τις τιμές της συχνότητας 𝑓 των τρεχόντων κυμάτων για τις οποίες παρατηρήσατε στάσιμα κύματα και να επαληθεύσετε τη σχέση [math]f_ν=νf_{ελαχ}[/math].
Αριθμός βρόχων/κοιλιών και δεσμών στάσιμου κύματος.
[b]Γ.[/b] Να αναφέρετε πώς μεταβάλλεται ο αριθμός ν των κοιλιών και των δεσμών τού στάσιμου κύματος σε σχέση με τη συχνότητα 𝑓 των τρεχόντων κυμάτων.
Ταχύτητα διάδοσης των τρεχόντων κυμάτων.
[b]Δ.[/b] Με βάση τα δεδομένα του Πίνακα 1, να υπολογίσετε την ταχύτητα διάδοσης των τρεχόντων κυμάτων 𝜐 = 𝜆𝑓.
Μέρος Β. Αριθμός Κοιλιών σε σχέση με την τείνουσα δύναμη.
[u]Πειραματική διαδικασία:[/u][br]1) Αφού θέσετε τον διεγέρτη σε λειτουργία να επιλέξετε τη συχνότητα f με την οποία παρατηρήσατε, στην προηγούμενη δραστηριότητα, στάσιμο κύμα με 5 κοιλίες.[br]2) Διατηρώντας σταθερή τη συχνότητα, να προσθέσετε μικρά σταθμά, των 10 g, στη βάση στήριξης μέχρι να παρατηρήσετε στάσιμο κύμα με 4 κοιλίες. Να ζυγίσετε τη συνολική μάζα των σταθμών και να συμπληρώσετε την τιμή της μάζας στον Πίνακα 2.[br]3) Να επαναλάβετε το βήμα 2 έτσι ώστε να παρατηρήσετε στάσιμα κύματα με 3, 2 και 1 κοιλία. Να συμπληρώσετε τις αντίστοιχες τιμές της μάζας στον Πίνακα 2.[br]4) Να υπολογίσετε το βάρος των σταθμών και να συμπληρώσετε την τρίτη στήλη του Πίνακα 2. Το μέτρο της δύναμης που τείνει την χορδή είναι ίσο με το βάρος των σταθμών.[br][img]data:image/png;base64,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[/img]
[b]Ε.[/b] Πως μεταβάλλεται το μήκος κύματος των τρεχόντων κυμάτων, από τα οποία προκύπτει το στάσιμο κύμα, καθώς αυξάνεται το μέτρο της τείνουσας δύναμης που ασκείται στη χορδή;
[b]ΣΤ.[/b] Πώς μεταβάλλεται η ταχύτητα διάδοσης των τρεχόντων κυμάτων, από τα οποία προκύπτει το στάσιμο κύμα, καθώς αυξάνεται το μέτρο της τείνουσας δύναμης που ασκείται στη χορδή;
[b]Ζ.[/b] Με βάση τη σχέση της ταχύτητας διάδοσης εγκάρσιου κύματος σε χορδή [math]v=\sqrt{\frac{T}{μ}}[/math] να εξηγήσετε γιατί, για δεδομένη συχνότητα f, ο αριθμός των κοιλιών v του στάσιμου κύματος ελαττώνεται με την αύξηση της τείνουσας δύναμης.
[b]Θ.[/b] Έστω ότι f η συχνότητα των τρέχοντων αρμονικών κυμάτων (συχνότητα διεγέρτη) και [math]m_ν[/math] η μάζα των αναρτημένων σταθμών για την οποία δημιουργείται στάσιμο κύμα με [math]ν[/math] κοιλίες. Κρατώντας τη συχνότητα f τού διεγέρτη αμετάβλητη, να αποδείξετε ότι η νέα μάζα των σταθμών [math]m_κ[/math] για την οποία δημιουργείται στάσιμο κύμα στη χορδή με [math]κ[/math] κοιλίες, δίνεται από τη σχέση [math]m_κ=\left(\frac{ν}{κ}\right)^2m_ν[/math].
[b]Ι.[/b] Χρησιμοποιώνταςτις μετρήσεις ταχύτητας - τείνουσας δύναμης, να κατασκευάσετε τη γραφική παράσταση [math]v=F\left(\sqrt{T}\right)[/math] και να υπολογίσετε τη γραμμική πυκνότητα τής χορδής.
Close

Information: Γ'Λυκ-Κεφ3 Κυματική-Προσομοίωση Πειράματος Στάσιμων Κυμάτων σε Χορδή