NEET Exam > NEET Questions > In a guitar, two strings A and B made of sam...
Start Learning for Free
In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will be
- a)524Hz
- b)536Hz
- c)537Hz
- d)523Hz
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
In a guitar, two strings A and B made of same material are slightly o...
Solution:
Given, strings A and B produce beats of frequency 6Hz when out of tune. Let the frequency of string B be 'f'.
When the tension in string B is decreased, the beat frequency increases to 7Hz. Let the new frequency of string B be 'f'.
The beat frequency is given by the difference in frequencies of the two strings:
7 Hz = |530 Hz - f|
As the beat frequency is positive, we can write:
f = 530 Hz - 7 Hz = 523 Hz
Therefore, the original frequency of string B was 523 Hz.
When the tension in string B is decreased, the beat frequency increases from 6Hz to 7Hz.
The change in beat frequency is given by:
Δf = |f1 - f2| = |6 Hz - 7 Hz| = 1 Hz
As the beat frequency increases when the tension in string B is decreased, we can conclude that the frequency of string B was higher than the original frequency of 523 Hz.
Let the new frequency of string B be 'f'.
When the tension in string B is decreased, the frequency of string B decreases.
Therefore, we can write:
f = 523 Hz - Δf = 523 Hz - 1 Hz = 522 Hz
Therefore, the new frequency of string B is 522 Hz.
We can verify the result by calculating the beat frequency between strings A and B:
Beat frequency = |530 Hz - 522 Hz| = 8 Hz
As the beat frequency is not equal to 6 Hz, we can conclude that the result is incorrect.
From the given information, we know that the beat frequency between strings A and B is 6 Hz.
Therefore, we can write:
6 Hz = |530 Hz - f|
As the beat frequency is positive, we can write:
f = 530 Hz - 6 Hz = 524 Hz
Therefore, the original frequency of string B was 524 Hz (Option A).
Given, strings A and B produce beats of frequency 6Hz when out of tune. Let the frequency of string B be 'f'.
Step 1: Finding the Original Frequency of B
When the tension in string B is decreased, the beat frequency increases to 7Hz. Let the new frequency of string B be 'f'.
The beat frequency is given by the difference in frequencies of the two strings:
7 Hz = |530 Hz - f|
As the beat frequency is positive, we can write:
f = 530 Hz - 7 Hz = 523 Hz
Therefore, the original frequency of string B was 523 Hz.
Step 2: Finding the Change in Frequency of B
When the tension in string B is decreased, the beat frequency increases from 6Hz to 7Hz.
The change in beat frequency is given by:
Δf = |f1 - f2| = |6 Hz - 7 Hz| = 1 Hz
As the beat frequency increases when the tension in string B is decreased, we can conclude that the frequency of string B was higher than the original frequency of 523 Hz.
Step 3: Finding the New Frequency of B
Let the new frequency of string B be 'f'.
When the tension in string B is decreased, the frequency of string B decreases.
Therefore, we can write:
f = 523 Hz - Δf = 523 Hz - 1 Hz = 522 Hz
Therefore, the new frequency of string B is 522 Hz.
Step 4: Verifying the Result
We can verify the result by calculating the beat frequency between strings A and B:
Beat frequency = |530 Hz - 522 Hz| = 8 Hz
As the beat frequency is not equal to 6 Hz, we can conclude that the result is incorrect.
Step 5: Correcting the Result
From the given information, we know that the beat frequency between strings A and B is 6 Hz.
Therefore, we can write:
6 Hz = |530 Hz - f|
As the beat frequency is positive, we can write:
f = 530 Hz - 6 Hz = 524 Hz
Therefore, the original frequency of string B was 524 Hz (Option A).
Free Test
FREE
| Start Free Test |
Community Answer
In a guitar, two strings A and B made of same material are slightly o...
Frequency of string,
Frequency ∝ √ Tension
Difference of fA and fB is 6 Hz.
If tension decreases, fB decreases and becomes fB′
Now, difference of fA and fB′ = 7Hz (increases) So,fA > fB
fA − fB = 6Hz
⇒ fA = 530Hz
⇒fB = 524Hz (original)
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer?
Question Description
In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer?.
In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer?.
Solutions for In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6Hz. When tension in B is slightly decreased, the beat frequency increases to 7Hz. If the frequency of A is 530Hz, the original frequency of B will bea)524Hzb)536Hzc)537Hzd)523HzCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup