355087
The resultant amplitude due to superposition of two waves \(y_{1}=5 \sin (\omega t-k x)\) and \(y_{2}=-5 \cos \left(\omega t-k x-150^{\circ}\right)\)
355088
Two waves having intensity \(I\) and \(9I\) produce interference. If the resultant intensity at a point is \(7I\), what is the phase difference between the two waves?
355089
Two periodic waves of intensities \(I_{1}\) and \(I_{2}\) pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is
1 \(\left(\sqrt{I_{1}}+\sqrt{I_{2}}\right)^{2}\)
2 \(\left(\sqrt{I_{1}}-\sqrt{I_{2}}\right)^{2}\)
3 \(2\left(I_{1}+I_{2}\right)\)
4 \(I_{1}+I_{2}\)
Explanation:
\({I_{\max {\text{ }}}} = {I_1} + {I_2} + 2\sqrt {{I_1}{I_2}} \) \({I_{\max {\text{ }}}} = {I_1} + {I_2} - 2\sqrt {{I_1}{I_2}} \) \(\therefore\) Sum of maximum and minimum intensities \(=2\left(I_{1}+I_{2}\right) \text {. }\)
PHXI15:WAVES
355090
Two interfering waves have intensities in the ratio \(9: 1\). Then the ratio of maximum to minimum intensity is
355091
A steel wire is stretched between two walls and excited in its fundamental tone. Which of the following statements is correct?
1 On increasing the temperature, frequency of fundamental tone increases
2 On decreasing the temperature frequency of fundamental tone decreases
3 Frequency of fundamental tone does not vary with temperature
4 On increasing temperature frequency of fundamental tone decreases
Explanation:
Frequency of fundamental mode \(f_{0}=\dfrac{1}{2 l} \sqrt{\dfrac{T}{\mu}}\) If temperature increases, \(T\) decreases, \(f_{0}\) decreases. If temperature decreases, \(T\) increases, \(f_{0}\) increases.
355087
The resultant amplitude due to superposition of two waves \(y_{1}=5 \sin (\omega t-k x)\) and \(y_{2}=-5 \cos \left(\omega t-k x-150^{\circ}\right)\)
355088
Two waves having intensity \(I\) and \(9I\) produce interference. If the resultant intensity at a point is \(7I\), what is the phase difference between the two waves?
355089
Two periodic waves of intensities \(I_{1}\) and \(I_{2}\) pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is
1 \(\left(\sqrt{I_{1}}+\sqrt{I_{2}}\right)^{2}\)
2 \(\left(\sqrt{I_{1}}-\sqrt{I_{2}}\right)^{2}\)
3 \(2\left(I_{1}+I_{2}\right)\)
4 \(I_{1}+I_{2}\)
Explanation:
\({I_{\max {\text{ }}}} = {I_1} + {I_2} + 2\sqrt {{I_1}{I_2}} \) \({I_{\max {\text{ }}}} = {I_1} + {I_2} - 2\sqrt {{I_1}{I_2}} \) \(\therefore\) Sum of maximum and minimum intensities \(=2\left(I_{1}+I_{2}\right) \text {. }\)
PHXI15:WAVES
355090
Two interfering waves have intensities in the ratio \(9: 1\). Then the ratio of maximum to minimum intensity is
355091
A steel wire is stretched between two walls and excited in its fundamental tone. Which of the following statements is correct?
1 On increasing the temperature, frequency of fundamental tone increases
2 On decreasing the temperature frequency of fundamental tone decreases
3 Frequency of fundamental tone does not vary with temperature
4 On increasing temperature frequency of fundamental tone decreases
Explanation:
Frequency of fundamental mode \(f_{0}=\dfrac{1}{2 l} \sqrt{\dfrac{T}{\mu}}\) If temperature increases, \(T\) decreases, \(f_{0}\) decreases. If temperature decreases, \(T\) increases, \(f_{0}\) increases.
355087
The resultant amplitude due to superposition of two waves \(y_{1}=5 \sin (\omega t-k x)\) and \(y_{2}=-5 \cos \left(\omega t-k x-150^{\circ}\right)\)
355088
Two waves having intensity \(I\) and \(9I\) produce interference. If the resultant intensity at a point is \(7I\), what is the phase difference between the two waves?
355089
Two periodic waves of intensities \(I_{1}\) and \(I_{2}\) pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is
1 \(\left(\sqrt{I_{1}}+\sqrt{I_{2}}\right)^{2}\)
2 \(\left(\sqrt{I_{1}}-\sqrt{I_{2}}\right)^{2}\)
3 \(2\left(I_{1}+I_{2}\right)\)
4 \(I_{1}+I_{2}\)
Explanation:
\({I_{\max {\text{ }}}} = {I_1} + {I_2} + 2\sqrt {{I_1}{I_2}} \) \({I_{\max {\text{ }}}} = {I_1} + {I_2} - 2\sqrt {{I_1}{I_2}} \) \(\therefore\) Sum of maximum and minimum intensities \(=2\left(I_{1}+I_{2}\right) \text {. }\)
PHXI15:WAVES
355090
Two interfering waves have intensities in the ratio \(9: 1\). Then the ratio of maximum to minimum intensity is
355091
A steel wire is stretched between two walls and excited in its fundamental tone. Which of the following statements is correct?
1 On increasing the temperature, frequency of fundamental tone increases
2 On decreasing the temperature frequency of fundamental tone decreases
3 Frequency of fundamental tone does not vary with temperature
4 On increasing temperature frequency of fundamental tone decreases
Explanation:
Frequency of fundamental mode \(f_{0}=\dfrac{1}{2 l} \sqrt{\dfrac{T}{\mu}}\) If temperature increases, \(T\) decreases, \(f_{0}\) decreases. If temperature decreases, \(T\) increases, \(f_{0}\) increases.
355087
The resultant amplitude due to superposition of two waves \(y_{1}=5 \sin (\omega t-k x)\) and \(y_{2}=-5 \cos \left(\omega t-k x-150^{\circ}\right)\)
355088
Two waves having intensity \(I\) and \(9I\) produce interference. If the resultant intensity at a point is \(7I\), what is the phase difference between the two waves?
355089
Two periodic waves of intensities \(I_{1}\) and \(I_{2}\) pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is
1 \(\left(\sqrt{I_{1}}+\sqrt{I_{2}}\right)^{2}\)
2 \(\left(\sqrt{I_{1}}-\sqrt{I_{2}}\right)^{2}\)
3 \(2\left(I_{1}+I_{2}\right)\)
4 \(I_{1}+I_{2}\)
Explanation:
\({I_{\max {\text{ }}}} = {I_1} + {I_2} + 2\sqrt {{I_1}{I_2}} \) \({I_{\max {\text{ }}}} = {I_1} + {I_2} - 2\sqrt {{I_1}{I_2}} \) \(\therefore\) Sum of maximum and minimum intensities \(=2\left(I_{1}+I_{2}\right) \text {. }\)
PHXI15:WAVES
355090
Two interfering waves have intensities in the ratio \(9: 1\). Then the ratio of maximum to minimum intensity is
355091
A steel wire is stretched between two walls and excited in its fundamental tone. Which of the following statements is correct?
1 On increasing the temperature, frequency of fundamental tone increases
2 On decreasing the temperature frequency of fundamental tone decreases
3 Frequency of fundamental tone does not vary with temperature
4 On increasing temperature frequency of fundamental tone decreases
Explanation:
Frequency of fundamental mode \(f_{0}=\dfrac{1}{2 l} \sqrt{\dfrac{T}{\mu}}\) If temperature increases, \(T\) decreases, \(f_{0}\) decreases. If temperature decreases, \(T\) increases, \(f_{0}\) increases.
355087
The resultant amplitude due to superposition of two waves \(y_{1}=5 \sin (\omega t-k x)\) and \(y_{2}=-5 \cos \left(\omega t-k x-150^{\circ}\right)\)
355088
Two waves having intensity \(I\) and \(9I\) produce interference. If the resultant intensity at a point is \(7I\), what is the phase difference between the two waves?
355089
Two periodic waves of intensities \(I_{1}\) and \(I_{2}\) pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is
1 \(\left(\sqrt{I_{1}}+\sqrt{I_{2}}\right)^{2}\)
2 \(\left(\sqrt{I_{1}}-\sqrt{I_{2}}\right)^{2}\)
3 \(2\left(I_{1}+I_{2}\right)\)
4 \(I_{1}+I_{2}\)
Explanation:
\({I_{\max {\text{ }}}} = {I_1} + {I_2} + 2\sqrt {{I_1}{I_2}} \) \({I_{\max {\text{ }}}} = {I_1} + {I_2} - 2\sqrt {{I_1}{I_2}} \) \(\therefore\) Sum of maximum and minimum intensities \(=2\left(I_{1}+I_{2}\right) \text {. }\)
PHXI15:WAVES
355090
Two interfering waves have intensities in the ratio \(9: 1\). Then the ratio of maximum to minimum intensity is
355091
A steel wire is stretched between two walls and excited in its fundamental tone. Which of the following statements is correct?
1 On increasing the temperature, frequency of fundamental tone increases
2 On decreasing the temperature frequency of fundamental tone decreases
3 Frequency of fundamental tone does not vary with temperature
4 On increasing temperature frequency of fundamental tone decreases
Explanation:
Frequency of fundamental mode \(f_{0}=\dfrac{1}{2 l} \sqrt{\dfrac{T}{\mu}}\) If temperature increases, \(T\) decreases, \(f_{0}\) decreases. If temperature decreases, \(T\) increases, \(f_{0}\) increases.
