Standing Waves
PHXI15:WAVES

354950 Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' \(n_{1}\) ' and ' \(n_{2}\) ' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

1 \(\dfrac{n_{1}+n_{2}}{n_{1} n_{2}}\)
2 \(\dfrac{n_{1} n_{2}}{2 n_{2}+n_{1}}\)
3 \(\dfrac{2 n_{2}+n_{1}}{n_{1} n_{2}}\)
4 \(\dfrac{n_{1} n_{2}}{n_{1}+n_{2}}\)
PHXI15:WAVES

354951 Assertion :
Sound produced by an open organ pipe is richer than the sound produced by a closed organ pipe.
Reason :
Outside air can enter the pipe from both ends, in case of open organ pipe.

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.
PHXI15:WAVES

354952 The frequency of the first overtone of a closed pipe of length \({l_{c}}\) is equal to that of the third overtone of an open pipe of length \({l_{0}}\). The ratio \({l_{0} / l_{c}}\) will be

1 \({7 / 6}\)
2 \({4 / 5}\)
3 \({8 / 3}\)
4 \({3 / 8}\)
PHXI15:WAVES

354953 Tube \(A\) has both ends open, while tube \(B\) has one end closed, otherwise they are identical. The ratio of fundamental frequencies of tubes \(A\) and \(B\) is :

1 \(1: 4\)
2 \(1: 2\)
3 \(4: 1\)
4 \(2: 1\)
PHXI15:WAVES

354954 The frequency of the second overtone of the open pipe is equal to the frequency of first overtone of the closed pipe. The ratio of the lengths of the open pipe and the closed pipe is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
PHXI15:WAVES

354950 Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' \(n_{1}\) ' and ' \(n_{2}\) ' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

1 \(\dfrac{n_{1}+n_{2}}{n_{1} n_{2}}\)
2 \(\dfrac{n_{1} n_{2}}{2 n_{2}+n_{1}}\)
3 \(\dfrac{2 n_{2}+n_{1}}{n_{1} n_{2}}\)
4 \(\dfrac{n_{1} n_{2}}{n_{1}+n_{2}}\)
PHXI15:WAVES

354951 Assertion :
Sound produced by an open organ pipe is richer than the sound produced by a closed organ pipe.
Reason :
Outside air can enter the pipe from both ends, in case of open organ pipe.

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.
PHXI15:WAVES

354952 The frequency of the first overtone of a closed pipe of length \({l_{c}}\) is equal to that of the third overtone of an open pipe of length \({l_{0}}\). The ratio \({l_{0} / l_{c}}\) will be

1 \({7 / 6}\)
2 \({4 / 5}\)
3 \({8 / 3}\)
4 \({3 / 8}\)
PHXI15:WAVES

354953 Tube \(A\) has both ends open, while tube \(B\) has one end closed, otherwise they are identical. The ratio of fundamental frequencies of tubes \(A\) and \(B\) is :

1 \(1: 4\)
2 \(1: 2\)
3 \(4: 1\)
4 \(2: 1\)
PHXI15:WAVES

354954 The frequency of the second overtone of the open pipe is equal to the frequency of first overtone of the closed pipe. The ratio of the lengths of the open pipe and the closed pipe is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
PHXI15:WAVES

354950 Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' \(n_{1}\) ' and ' \(n_{2}\) ' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

1 \(\dfrac{n_{1}+n_{2}}{n_{1} n_{2}}\)
2 \(\dfrac{n_{1} n_{2}}{2 n_{2}+n_{1}}\)
3 \(\dfrac{2 n_{2}+n_{1}}{n_{1} n_{2}}\)
4 \(\dfrac{n_{1} n_{2}}{n_{1}+n_{2}}\)
PHXI15:WAVES

354951 Assertion :
Sound produced by an open organ pipe is richer than the sound produced by a closed organ pipe.
Reason :
Outside air can enter the pipe from both ends, in case of open organ pipe.

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.
PHXI15:WAVES

354952 The frequency of the first overtone of a closed pipe of length \({l_{c}}\) is equal to that of the third overtone of an open pipe of length \({l_{0}}\). The ratio \({l_{0} / l_{c}}\) will be

1 \({7 / 6}\)
2 \({4 / 5}\)
3 \({8 / 3}\)
4 \({3 / 8}\)
PHXI15:WAVES

354953 Tube \(A\) has both ends open, while tube \(B\) has one end closed, otherwise they are identical. The ratio of fundamental frequencies of tubes \(A\) and \(B\) is :

1 \(1: 4\)
2 \(1: 2\)
3 \(4: 1\)
4 \(2: 1\)
PHXI15:WAVES

354954 The frequency of the second overtone of the open pipe is equal to the frequency of first overtone of the closed pipe. The ratio of the lengths of the open pipe and the closed pipe is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
PHXI15:WAVES

354950 Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' \(n_{1}\) ' and ' \(n_{2}\) ' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

1 \(\dfrac{n_{1}+n_{2}}{n_{1} n_{2}}\)
2 \(\dfrac{n_{1} n_{2}}{2 n_{2}+n_{1}}\)
3 \(\dfrac{2 n_{2}+n_{1}}{n_{1} n_{2}}\)
4 \(\dfrac{n_{1} n_{2}}{n_{1}+n_{2}}\)
PHXI15:WAVES

354951 Assertion :
Sound produced by an open organ pipe is richer than the sound produced by a closed organ pipe.
Reason :
Outside air can enter the pipe from both ends, in case of open organ pipe.

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.
PHXI15:WAVES

354952 The frequency of the first overtone of a closed pipe of length \({l_{c}}\) is equal to that of the third overtone of an open pipe of length \({l_{0}}\). The ratio \({l_{0} / l_{c}}\) will be

1 \({7 / 6}\)
2 \({4 / 5}\)
3 \({8 / 3}\)
4 \({3 / 8}\)
PHXI15:WAVES

354953 Tube \(A\) has both ends open, while tube \(B\) has one end closed, otherwise they are identical. The ratio of fundamental frequencies of tubes \(A\) and \(B\) is :

1 \(1: 4\)
2 \(1: 2\)
3 \(4: 1\)
4 \(2: 1\)
PHXI15:WAVES

354954 The frequency of the second overtone of the open pipe is equal to the frequency of first overtone of the closed pipe. The ratio of the lengths of the open pipe and the closed pipe is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
PHXI15:WAVES

354950 Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' \(n_{1}\) ' and ' \(n_{2}\) ' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

1 \(\dfrac{n_{1}+n_{2}}{n_{1} n_{2}}\)
2 \(\dfrac{n_{1} n_{2}}{2 n_{2}+n_{1}}\)
3 \(\dfrac{2 n_{2}+n_{1}}{n_{1} n_{2}}\)
4 \(\dfrac{n_{1} n_{2}}{n_{1}+n_{2}}\)
PHXI15:WAVES

354951 Assertion :
Sound produced by an open organ pipe is richer than the sound produced by a closed organ pipe.
Reason :
Outside air can enter the pipe from both ends, in case of open organ pipe.

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.
PHXI15:WAVES

354952 The frequency of the first overtone of a closed pipe of length \({l_{c}}\) is equal to that of the third overtone of an open pipe of length \({l_{0}}\). The ratio \({l_{0} / l_{c}}\) will be

1 \({7 / 6}\)
2 \({4 / 5}\)
3 \({8 / 3}\)
4 \({3 / 8}\)
PHXI15:WAVES

354953 Tube \(A\) has both ends open, while tube \(B\) has one end closed, otherwise they are identical. The ratio of fundamental frequencies of tubes \(A\) and \(B\) is :

1 \(1: 4\)
2 \(1: 2\)
3 \(4: 1\)
4 \(2: 1\)
PHXI15:WAVES

354954 The frequency of the second overtone of the open pipe is equal to the frequency of first overtone of the closed pipe. The ratio of the lengths of the open pipe and the closed pipe is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)