Superposition of Transverse Waves
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI15:WAVES

355075 Two waves are passing through a region in the same direction at the same time. If the equations of these waves are \(y_{1}=a \sin \dfrac{2 \pi}{\lambda}(v t-x)\) and \(y_{2}=b \sin \dfrac{2 \pi}{\lambda}\left[(v t-x)+x_{0}\right]\), then the amplitude of the resulting wave for \(x_{0}=(\lambda / 2)\) is

1 \(|a-b|\)
2 \(a+b\)
3 \(\sqrt{a^{2}+b^{2}}\)
4 \(\sqrt{a^{2}+b^{2}+2 a b \cos x}\)
PHXI15:WAVES

355076 Statement A :
Two sinusoidal waves on the same string exhibit intereference.
Statement B :
These waves, add or cancel out according to the principle of superposition.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI15:WAVES

355077 Two waves are represented by the equations \({y_{1}=a \sin (\omega t+k x+0.57) m}\) and \({y_{2}=a \cos (\omega t+k x) m}\) where \({x}\) is in meter and \({t}\) in sec. The phase difference between them is

1 \(1.0\,rad\)
2 \(1.25\,rad\)
3 \(1.57\,rad\)
4 \(0.57\,rad\)
PHXI15:WAVES

355078 A source supplies heat to a system at the rate of \(1000\;W\). If the system performs work at a rate of \(200\;W\). The rate at which internal energy of the system increases is

1 \(600\;W\)
2 \(800\;W\)
3 \(1200\;W\)
4 \(500\;W\)
PHXI15:WAVES

355075 Two waves are passing through a region in the same direction at the same time. If the equations of these waves are \(y_{1}=a \sin \dfrac{2 \pi}{\lambda}(v t-x)\) and \(y_{2}=b \sin \dfrac{2 \pi}{\lambda}\left[(v t-x)+x_{0}\right]\), then the amplitude of the resulting wave for \(x_{0}=(\lambda / 2)\) is

1 \(|a-b|\)
2 \(a+b\)
3 \(\sqrt{a^{2}+b^{2}}\)
4 \(\sqrt{a^{2}+b^{2}+2 a b \cos x}\)
PHXI15:WAVES

355076 Statement A :
Two sinusoidal waves on the same string exhibit intereference.
Statement B :
These waves, add or cancel out according to the principle of superposition.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI15:WAVES

355077 Two waves are represented by the equations \({y_{1}=a \sin (\omega t+k x+0.57) m}\) and \({y_{2}=a \cos (\omega t+k x) m}\) where \({x}\) is in meter and \({t}\) in sec. The phase difference between them is

1 \(1.0\,rad\)
2 \(1.25\,rad\)
3 \(1.57\,rad\)
4 \(0.57\,rad\)
PHXI15:WAVES

355078 A source supplies heat to a system at the rate of \(1000\;W\). If the system performs work at a rate of \(200\;W\). The rate at which internal energy of the system increases is

1 \(600\;W\)
2 \(800\;W\)
3 \(1200\;W\)
4 \(500\;W\)
PHXI15:WAVES

355075 Two waves are passing through a region in the same direction at the same time. If the equations of these waves are \(y_{1}=a \sin \dfrac{2 \pi}{\lambda}(v t-x)\) and \(y_{2}=b \sin \dfrac{2 \pi}{\lambda}\left[(v t-x)+x_{0}\right]\), then the amplitude of the resulting wave for \(x_{0}=(\lambda / 2)\) is

1 \(|a-b|\)
2 \(a+b\)
3 \(\sqrt{a^{2}+b^{2}}\)
4 \(\sqrt{a^{2}+b^{2}+2 a b \cos x}\)
PHXI15:WAVES

355076 Statement A :
Two sinusoidal waves on the same string exhibit intereference.
Statement B :
These waves, add or cancel out according to the principle of superposition.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI15:WAVES

355077 Two waves are represented by the equations \({y_{1}=a \sin (\omega t+k x+0.57) m}\) and \({y_{2}=a \cos (\omega t+k x) m}\) where \({x}\) is in meter and \({t}\) in sec. The phase difference between them is

1 \(1.0\,rad\)
2 \(1.25\,rad\)
3 \(1.57\,rad\)
4 \(0.57\,rad\)
PHXI15:WAVES

355078 A source supplies heat to a system at the rate of \(1000\;W\). If the system performs work at a rate of \(200\;W\). The rate at which internal energy of the system increases is

1 \(600\;W\)
2 \(800\;W\)
3 \(1200\;W\)
4 \(500\;W\)
PHXI15:WAVES

355075 Two waves are passing through a region in the same direction at the same time. If the equations of these waves are \(y_{1}=a \sin \dfrac{2 \pi}{\lambda}(v t-x)\) and \(y_{2}=b \sin \dfrac{2 \pi}{\lambda}\left[(v t-x)+x_{0}\right]\), then the amplitude of the resulting wave for \(x_{0}=(\lambda / 2)\) is

1 \(|a-b|\)
2 \(a+b\)
3 \(\sqrt{a^{2}+b^{2}}\)
4 \(\sqrt{a^{2}+b^{2}+2 a b \cos x}\)
PHXI15:WAVES

355076 Statement A :
Two sinusoidal waves on the same string exhibit intereference.
Statement B :
These waves, add or cancel out according to the principle of superposition.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI15:WAVES

355077 Two waves are represented by the equations \({y_{1}=a \sin (\omega t+k x+0.57) m}\) and \({y_{2}=a \cos (\omega t+k x) m}\) where \({x}\) is in meter and \({t}\) in sec. The phase difference between them is

1 \(1.0\,rad\)
2 \(1.25\,rad\)
3 \(1.57\,rad\)
4 \(0.57\,rad\)
PHXI15:WAVES

355078 A source supplies heat to a system at the rate of \(1000\;W\). If the system performs work at a rate of \(200\;W\). The rate at which internal energy of the system increases is

1 \(600\;W\)
2 \(800\;W\)
3 \(1200\;W\)
4 \(500\;W\)