MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Units and Dimensions

A wire has fr...

Question

A wire has frequency f. Its length is doubled by stretching. Its frequency now will be:

A

1.4 f

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

B

0.7 f

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

C

2 f

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

D

f

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

Open in App

Solution

The correct option is B $0.7 f$
$W e h a v e f = \frac{1}{2 l} \sqrt{\frac{T}{m}} ∴ f \propto \frac{1}{l} a n d f \propto \frac{1}{\sqrt{m}} A n d w e k n o w t h a t a s l b e c o m e s d o u b l e m a s s / u n i t l e n g t h b e c o m e s h a l f . ∴ f b e c o m e s \frac{1}{\sqrt{2}} t i m e s t h e o r i g n a l . H e n c e f^{^{'}} = 0.7 f$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A stretched wire of some length under a tension is vibrating with its fundamental frequency. Its length is decreased by

45 %

and tension is
increased by

21 %

. Now its fundamental frequency:

Q. A wire is stretched by

0.01 m

by a certain force

F

. Another wire of same material whose diameter and lengths are doubled to the original wire is stretched by the same force. Then its elongation will be:

Q. A particle executes SHM with a frequency f and its amplitude is A. If the frequency is doubled, the amplitude will be

Q. A closed tube has a frequency

n

. If its length is doubled and radius is halved its frequency will become

Q. A closed pipe has certain frequency. Now its length is halved. Considering the end correction, its frequency will now become

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Physical Quantities

PHYSICS

Watch in App

explore_more_icon

Explore more

Units and Dimensions

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon