355033
Two tuning forks of frequency \(250\;Hz\) and \(256\;Hz\) produce beats. If maximum of intensity is observed just now, after how much time the minimum is observed at the same place
1 \(\dfrac{1}{18} \sec\)
2 \(\dfrac{1}{4} \sec\)
3 \(\dfrac{1}{8} \mathrm{sec}\)
4 \(\dfrac{1}{12} \mathrm{sec}\)
Explanation:
The time interval between two successive maximas is equal to \(\dfrac{1}{6} s\) For every \(\dfrac{1}{12}\) th sec The minimum will be observed.
PHXI15:WAVES
355034
A tuning fork vibrates with frequency \(256\;Hz\) and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (Speed of sound in air is \(340\;m{s^{ - 1}}\))
1 \(220\;cm\)
2 \(200\;cm\)
3 \(190\;cm\)
4 \(180\;cm\)
Explanation:
Organ pipe will have frequency either 255 or \(257\;Hz\) Using \(255\;Hz\) \(255 = \frac{{3v}}{{2l}}\;\;\;{\mkern 1mu} {\kern 1pt} l = \frac{{3 \times 340}}{{2 \times 255}}\;m\) \(l = 200\;cm\)
JEE - 2018
PHXI15:WAVES
355035
Beats are produced by two waves given \(y_{1}=a \sin 2000 \pi t\) and \(y_{2}=a \sin 2008 \pi t\). The number of beats heard per second is
1 One
2 Zero
3 Eight
4 Four
Explanation:
Number of beats per second \(=n_{1}-n_{2}\) \(\omega_{1}=2000 \pi=2 \pi n_{1} \Rightarrow n_{1}=1000\) and \(\omega_{2}=2008 \pi=2 \pi n_{2} \Rightarrow n_{2}=1004\) Number of beats heard per sec \(=1004-1000=4\)
PHXI15:WAVES
355036
Assertion : To hear distinct beats, difference in frequencies of two sources should be less than 10. Reason : More the number of beats per sec more difficult to hear them.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Both the assertion and reason are true, and the reason correctly explains the phenomenon.Distinct beats are more easily heard when the frequency difference is small, and as the number of beats per second increases, they become more difficult to distinguish. The reason provides a valid explanation for the assertion. So correct option is (1)
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PHXI15:WAVES
355033
Two tuning forks of frequency \(250\;Hz\) and \(256\;Hz\) produce beats. If maximum of intensity is observed just now, after how much time the minimum is observed at the same place
1 \(\dfrac{1}{18} \sec\)
2 \(\dfrac{1}{4} \sec\)
3 \(\dfrac{1}{8} \mathrm{sec}\)
4 \(\dfrac{1}{12} \mathrm{sec}\)
Explanation:
The time interval between two successive maximas is equal to \(\dfrac{1}{6} s\) For every \(\dfrac{1}{12}\) th sec The minimum will be observed.
PHXI15:WAVES
355034
A tuning fork vibrates with frequency \(256\;Hz\) and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (Speed of sound in air is \(340\;m{s^{ - 1}}\))
1 \(220\;cm\)
2 \(200\;cm\)
3 \(190\;cm\)
4 \(180\;cm\)
Explanation:
Organ pipe will have frequency either 255 or \(257\;Hz\) Using \(255\;Hz\) \(255 = \frac{{3v}}{{2l}}\;\;\;{\mkern 1mu} {\kern 1pt} l = \frac{{3 \times 340}}{{2 \times 255}}\;m\) \(l = 200\;cm\)
JEE - 2018
PHXI15:WAVES
355035
Beats are produced by two waves given \(y_{1}=a \sin 2000 \pi t\) and \(y_{2}=a \sin 2008 \pi t\). The number of beats heard per second is
1 One
2 Zero
3 Eight
4 Four
Explanation:
Number of beats per second \(=n_{1}-n_{2}\) \(\omega_{1}=2000 \pi=2 \pi n_{1} \Rightarrow n_{1}=1000\) and \(\omega_{2}=2008 \pi=2 \pi n_{2} \Rightarrow n_{2}=1004\) Number of beats heard per sec \(=1004-1000=4\)
PHXI15:WAVES
355036
Assertion : To hear distinct beats, difference in frequencies of two sources should be less than 10. Reason : More the number of beats per sec more difficult to hear them.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Both the assertion and reason are true, and the reason correctly explains the phenomenon.Distinct beats are more easily heard when the frequency difference is small, and as the number of beats per second increases, they become more difficult to distinguish. The reason provides a valid explanation for the assertion. So correct option is (1)
355033
Two tuning forks of frequency \(250\;Hz\) and \(256\;Hz\) produce beats. If maximum of intensity is observed just now, after how much time the minimum is observed at the same place
1 \(\dfrac{1}{18} \sec\)
2 \(\dfrac{1}{4} \sec\)
3 \(\dfrac{1}{8} \mathrm{sec}\)
4 \(\dfrac{1}{12} \mathrm{sec}\)
Explanation:
The time interval between two successive maximas is equal to \(\dfrac{1}{6} s\) For every \(\dfrac{1}{12}\) th sec The minimum will be observed.
PHXI15:WAVES
355034
A tuning fork vibrates with frequency \(256\;Hz\) and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (Speed of sound in air is \(340\;m{s^{ - 1}}\))
1 \(220\;cm\)
2 \(200\;cm\)
3 \(190\;cm\)
4 \(180\;cm\)
Explanation:
Organ pipe will have frequency either 255 or \(257\;Hz\) Using \(255\;Hz\) \(255 = \frac{{3v}}{{2l}}\;\;\;{\mkern 1mu} {\kern 1pt} l = \frac{{3 \times 340}}{{2 \times 255}}\;m\) \(l = 200\;cm\)
JEE - 2018
PHXI15:WAVES
355035
Beats are produced by two waves given \(y_{1}=a \sin 2000 \pi t\) and \(y_{2}=a \sin 2008 \pi t\). The number of beats heard per second is
1 One
2 Zero
3 Eight
4 Four
Explanation:
Number of beats per second \(=n_{1}-n_{2}\) \(\omega_{1}=2000 \pi=2 \pi n_{1} \Rightarrow n_{1}=1000\) and \(\omega_{2}=2008 \pi=2 \pi n_{2} \Rightarrow n_{2}=1004\) Number of beats heard per sec \(=1004-1000=4\)
PHXI15:WAVES
355036
Assertion : To hear distinct beats, difference in frequencies of two sources should be less than 10. Reason : More the number of beats per sec more difficult to hear them.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Both the assertion and reason are true, and the reason correctly explains the phenomenon.Distinct beats are more easily heard when the frequency difference is small, and as the number of beats per second increases, they become more difficult to distinguish. The reason provides a valid explanation for the assertion. So correct option is (1)
355033
Two tuning forks of frequency \(250\;Hz\) and \(256\;Hz\) produce beats. If maximum of intensity is observed just now, after how much time the minimum is observed at the same place
1 \(\dfrac{1}{18} \sec\)
2 \(\dfrac{1}{4} \sec\)
3 \(\dfrac{1}{8} \mathrm{sec}\)
4 \(\dfrac{1}{12} \mathrm{sec}\)
Explanation:
The time interval between two successive maximas is equal to \(\dfrac{1}{6} s\) For every \(\dfrac{1}{12}\) th sec The minimum will be observed.
PHXI15:WAVES
355034
A tuning fork vibrates with frequency \(256\;Hz\) and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (Speed of sound in air is \(340\;m{s^{ - 1}}\))
1 \(220\;cm\)
2 \(200\;cm\)
3 \(190\;cm\)
4 \(180\;cm\)
Explanation:
Organ pipe will have frequency either 255 or \(257\;Hz\) Using \(255\;Hz\) \(255 = \frac{{3v}}{{2l}}\;\;\;{\mkern 1mu} {\kern 1pt} l = \frac{{3 \times 340}}{{2 \times 255}}\;m\) \(l = 200\;cm\)
JEE - 2018
PHXI15:WAVES
355035
Beats are produced by two waves given \(y_{1}=a \sin 2000 \pi t\) and \(y_{2}=a \sin 2008 \pi t\). The number of beats heard per second is
1 One
2 Zero
3 Eight
4 Four
Explanation:
Number of beats per second \(=n_{1}-n_{2}\) \(\omega_{1}=2000 \pi=2 \pi n_{1} \Rightarrow n_{1}=1000\) and \(\omega_{2}=2008 \pi=2 \pi n_{2} \Rightarrow n_{2}=1004\) Number of beats heard per sec \(=1004-1000=4\)
PHXI15:WAVES
355036
Assertion : To hear distinct beats, difference in frequencies of two sources should be less than 10. Reason : More the number of beats per sec more difficult to hear them.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Both the assertion and reason are true, and the reason correctly explains the phenomenon.Distinct beats are more easily heard when the frequency difference is small, and as the number of beats per second increases, they become more difficult to distinguish. The reason provides a valid explanation for the assertion. So correct option is (1)
