wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The equation of a standing wave, produced on a string fixed at both ends, is y = (0.4 cm) sin[(0.314 cm1)x] cos[(600 π s1)t]

What could be the smallest length of the string?


A

20 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

10 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

15 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

10 cm


we get from the wave equation that ω = 600 π

f = ω2π = 300 Hz

Also k = 0.314

2πλ = 0.314

λ = 2π0.314

λ = 20 cm

velocity,v= fλ = 300 × 20

= 6000 cm s1

And as we know f = nv2L

L = nv2f = n × 60002 × 300

L = 10 n

The least value for n = 1

so Lmin = 10 cm


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon