NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI15:WAVES
354545
The equation of a simple harmonic wave is given by \(y=6 \sin 2 \pi(2 t-0.1 x)\), where \(x\) and \(y\) are in \(mm\) and \(t\) is in seconds. The phase difference between two particles \(2\;mm\) apart at any instant is
1 \(54^{\circ}\)
2 \(72^{\circ}\)
3 \(18^{\circ}\)
4 \(36^{\circ}\)
Explanation:
Given equation of harmonic progressive wave is \(y = 6\sin 2\pi (2t - 0.1x)\) \( \Rightarrow y = 6\sin (4\pi t - 0.2\pi x)\). This is of the form \(y=A \sin (\omega t-k x)\) where \(k = \frac{{2\pi }}{\lambda }\) \(\therefore k = 0.2\pi \,rad/mm\) The phase difference for two particles separated by \(2\;mm\) is \(\phi=k \Delta x=0.2 \pi \times 2=0.4 \pi=0.4 \times 180^{\circ}=72^{\circ}\)
PHXI15:WAVES
354546
A wave travelling in the + ve \(x\)-direction having displacement along \(y\)-direction as \(1\;m\), wavelength \(2 \pi m\) and frequency of \(\dfrac{1}{\pi} H z\) is represented by
354547
A wave in a string has an amplitude of \(2\,cm\). The wave travels in the + ve direction of \(x\)-axis with a speed of \(128\;m{s^{ - 1}}\) and it is noted that 5 complete waves fit in \(4\;m\) length of the string. The equation describing the wave is
354548
A transverse wave is described by the equation \(Y=Y_{0} \sin 2 \pi(f t-x / \lambda)\). The maximum particle velocity is equal to four times the wave velocity then
354545
The equation of a simple harmonic wave is given by \(y=6 \sin 2 \pi(2 t-0.1 x)\), where \(x\) and \(y\) are in \(mm\) and \(t\) is in seconds. The phase difference between two particles \(2\;mm\) apart at any instant is
1 \(54^{\circ}\)
2 \(72^{\circ}\)
3 \(18^{\circ}\)
4 \(36^{\circ}\)
Explanation:
Given equation of harmonic progressive wave is \(y = 6\sin 2\pi (2t - 0.1x)\) \( \Rightarrow y = 6\sin (4\pi t - 0.2\pi x)\). This is of the form \(y=A \sin (\omega t-k x)\) where \(k = \frac{{2\pi }}{\lambda }\) \(\therefore k = 0.2\pi \,rad/mm\) The phase difference for two particles separated by \(2\;mm\) is \(\phi=k \Delta x=0.2 \pi \times 2=0.4 \pi=0.4 \times 180^{\circ}=72^{\circ}\)
PHXI15:WAVES
354546
A wave travelling in the + ve \(x\)-direction having displacement along \(y\)-direction as \(1\;m\), wavelength \(2 \pi m\) and frequency of \(\dfrac{1}{\pi} H z\) is represented by
354547
A wave in a string has an amplitude of \(2\,cm\). The wave travels in the + ve direction of \(x\)-axis with a speed of \(128\;m{s^{ - 1}}\) and it is noted that 5 complete waves fit in \(4\;m\) length of the string. The equation describing the wave is
354548
A transverse wave is described by the equation \(Y=Y_{0} \sin 2 \pi(f t-x / \lambda)\). The maximum particle velocity is equal to four times the wave velocity then
354545
The equation of a simple harmonic wave is given by \(y=6 \sin 2 \pi(2 t-0.1 x)\), where \(x\) and \(y\) are in \(mm\) and \(t\) is in seconds. The phase difference between two particles \(2\;mm\) apart at any instant is
1 \(54^{\circ}\)
2 \(72^{\circ}\)
3 \(18^{\circ}\)
4 \(36^{\circ}\)
Explanation:
Given equation of harmonic progressive wave is \(y = 6\sin 2\pi (2t - 0.1x)\) \( \Rightarrow y = 6\sin (4\pi t - 0.2\pi x)\). This is of the form \(y=A \sin (\omega t-k x)\) where \(k = \frac{{2\pi }}{\lambda }\) \(\therefore k = 0.2\pi \,rad/mm\) The phase difference for two particles separated by \(2\;mm\) is \(\phi=k \Delta x=0.2 \pi \times 2=0.4 \pi=0.4 \times 180^{\circ}=72^{\circ}\)
PHXI15:WAVES
354546
A wave travelling in the + ve \(x\)-direction having displacement along \(y\)-direction as \(1\;m\), wavelength \(2 \pi m\) and frequency of \(\dfrac{1}{\pi} H z\) is represented by
354547
A wave in a string has an amplitude of \(2\,cm\). The wave travels in the + ve direction of \(x\)-axis with a speed of \(128\;m{s^{ - 1}}\) and it is noted that 5 complete waves fit in \(4\;m\) length of the string. The equation describing the wave is
354548
A transverse wave is described by the equation \(Y=Y_{0} \sin 2 \pi(f t-x / \lambda)\). The maximum particle velocity is equal to four times the wave velocity then
354545
The equation of a simple harmonic wave is given by \(y=6 \sin 2 \pi(2 t-0.1 x)\), where \(x\) and \(y\) are in \(mm\) and \(t\) is in seconds. The phase difference between two particles \(2\;mm\) apart at any instant is
1 \(54^{\circ}\)
2 \(72^{\circ}\)
3 \(18^{\circ}\)
4 \(36^{\circ}\)
Explanation:
Given equation of harmonic progressive wave is \(y = 6\sin 2\pi (2t - 0.1x)\) \( \Rightarrow y = 6\sin (4\pi t - 0.2\pi x)\). This is of the form \(y=A \sin (\omega t-k x)\) where \(k = \frac{{2\pi }}{\lambda }\) \(\therefore k = 0.2\pi \,rad/mm\) The phase difference for two particles separated by \(2\;mm\) is \(\phi=k \Delta x=0.2 \pi \times 2=0.4 \pi=0.4 \times 180^{\circ}=72^{\circ}\)
PHXI15:WAVES
354546
A wave travelling in the + ve \(x\)-direction having displacement along \(y\)-direction as \(1\;m\), wavelength \(2 \pi m\) and frequency of \(\dfrac{1}{\pi} H z\) is represented by
354547
A wave in a string has an amplitude of \(2\,cm\). The wave travels in the + ve direction of \(x\)-axis with a speed of \(128\;m{s^{ - 1}}\) and it is noted that 5 complete waves fit in \(4\;m\) length of the string. The equation describing the wave is
354548
A transverse wave is described by the equation \(Y=Y_{0} \sin 2 \pi(f t-x / \lambda)\). The maximum particle velocity is equal to four times the wave velocity then
