355079
Assertion : If two waves of same amplitude, produce a resultant wave of same amplitude, then the phase difference between them will be \(120^{\circ}\). Reason : The resultant amplitude of two waves is equal to sum of amplitude of two waves.
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.
355080
Three coherent waves of equal frequencies having amplitude \(10 \mu \mathrm{m}, 4 \mu \mathrm{m}\) and \(7 \mu \mathrm{m}\) respectively, arrive at a given point with succesive phase difference of \(\pi / 2\). The amplitude of the resulting wave in \(\mu m\) is given by:
1 5
2 6
3 3
4 4
Explanation:
The Phasor diagram of the three waves is
PHXI15:WAVES
355081
The amplitude of a wave represented by displacement equation \(y=\dfrac{1}{\sqrt{a}} \sin \omega t \pm \dfrac{1}{\sqrt{b}} \cos \omega t\) will be
1 \(\sqrt{\dfrac{a+b}{a b}}\)
2 \(\dfrac{a+b}{a b}\)
3 \(\dfrac{\sqrt{a}+\sqrt{b}}{a b}\)
4 \(\dfrac{\sqrt{a} \pm \sqrt{b}}{a b}\)
Explanation:
\(y=\dfrac{1}{\sqrt{a}} \sin \omega t \pm \dfrac{1}{\sqrt{b}} \sin \left(\omega t+\dfrac{\pi}{2}\right)\) Here phase difference \(=\dfrac{\pi}{2}\) Resultant amplitude \(=\sqrt{\left(\dfrac{1}{\sqrt{b}}\right)^{2}+\left(\dfrac{1}{\sqrt{b}}\right)^{2}}=\sqrt{\dfrac{1}{a}+\dfrac{1}{b}}=\sqrt{\dfrac{a+b}{a b}}\)
PHXI15:WAVES
355082
The ratio of intensities of two waves is 16:9. If they produce interference, then the ratio of maximum and minimum will be
355079
Assertion : If two waves of same amplitude, produce a resultant wave of same amplitude, then the phase difference between them will be \(120^{\circ}\). Reason : The resultant amplitude of two waves is equal to sum of amplitude of two waves.
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.
355080
Three coherent waves of equal frequencies having amplitude \(10 \mu \mathrm{m}, 4 \mu \mathrm{m}\) and \(7 \mu \mathrm{m}\) respectively, arrive at a given point with succesive phase difference of \(\pi / 2\). The amplitude of the resulting wave in \(\mu m\) is given by:
1 5
2 6
3 3
4 4
Explanation:
The Phasor diagram of the three waves is
PHXI15:WAVES
355081
The amplitude of a wave represented by displacement equation \(y=\dfrac{1}{\sqrt{a}} \sin \omega t \pm \dfrac{1}{\sqrt{b}} \cos \omega t\) will be
1 \(\sqrt{\dfrac{a+b}{a b}}\)
2 \(\dfrac{a+b}{a b}\)
3 \(\dfrac{\sqrt{a}+\sqrt{b}}{a b}\)
4 \(\dfrac{\sqrt{a} \pm \sqrt{b}}{a b}\)
Explanation:
\(y=\dfrac{1}{\sqrt{a}} \sin \omega t \pm \dfrac{1}{\sqrt{b}} \sin \left(\omega t+\dfrac{\pi}{2}\right)\) Here phase difference \(=\dfrac{\pi}{2}\) Resultant amplitude \(=\sqrt{\left(\dfrac{1}{\sqrt{b}}\right)^{2}+\left(\dfrac{1}{\sqrt{b}}\right)^{2}}=\sqrt{\dfrac{1}{a}+\dfrac{1}{b}}=\sqrt{\dfrac{a+b}{a b}}\)
PHXI15:WAVES
355082
The ratio of intensities of two waves is 16:9. If they produce interference, then the ratio of maximum and minimum will be
NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI15:WAVES
355079
Assertion : If two waves of same amplitude, produce a resultant wave of same amplitude, then the phase difference between them will be \(120^{\circ}\). Reason : The resultant amplitude of two waves is equal to sum of amplitude of two waves.
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.
355080
Three coherent waves of equal frequencies having amplitude \(10 \mu \mathrm{m}, 4 \mu \mathrm{m}\) and \(7 \mu \mathrm{m}\) respectively, arrive at a given point with succesive phase difference of \(\pi / 2\). The amplitude of the resulting wave in \(\mu m\) is given by:
1 5
2 6
3 3
4 4
Explanation:
The Phasor diagram of the three waves is
PHXI15:WAVES
355081
The amplitude of a wave represented by displacement equation \(y=\dfrac{1}{\sqrt{a}} \sin \omega t \pm \dfrac{1}{\sqrt{b}} \cos \omega t\) will be
1 \(\sqrt{\dfrac{a+b}{a b}}\)
2 \(\dfrac{a+b}{a b}\)
3 \(\dfrac{\sqrt{a}+\sqrt{b}}{a b}\)
4 \(\dfrac{\sqrt{a} \pm \sqrt{b}}{a b}\)
Explanation:
\(y=\dfrac{1}{\sqrt{a}} \sin \omega t \pm \dfrac{1}{\sqrt{b}} \sin \left(\omega t+\dfrac{\pi}{2}\right)\) Here phase difference \(=\dfrac{\pi}{2}\) Resultant amplitude \(=\sqrt{\left(\dfrac{1}{\sqrt{b}}\right)^{2}+\left(\dfrac{1}{\sqrt{b}}\right)^{2}}=\sqrt{\dfrac{1}{a}+\dfrac{1}{b}}=\sqrt{\dfrac{a+b}{a b}}\)
PHXI15:WAVES
355082
The ratio of intensities of two waves is 16:9. If they produce interference, then the ratio of maximum and minimum will be
355079
Assertion : If two waves of same amplitude, produce a resultant wave of same amplitude, then the phase difference between them will be \(120^{\circ}\). Reason : The resultant amplitude of two waves is equal to sum of amplitude of two waves.
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.
355080
Three coherent waves of equal frequencies having amplitude \(10 \mu \mathrm{m}, 4 \mu \mathrm{m}\) and \(7 \mu \mathrm{m}\) respectively, arrive at a given point with succesive phase difference of \(\pi / 2\). The amplitude of the resulting wave in \(\mu m\) is given by:
1 5
2 6
3 3
4 4
Explanation:
The Phasor diagram of the three waves is
PHXI15:WAVES
355081
The amplitude of a wave represented by displacement equation \(y=\dfrac{1}{\sqrt{a}} \sin \omega t \pm \dfrac{1}{\sqrt{b}} \cos \omega t\) will be
1 \(\sqrt{\dfrac{a+b}{a b}}\)
2 \(\dfrac{a+b}{a b}\)
3 \(\dfrac{\sqrt{a}+\sqrt{b}}{a b}\)
4 \(\dfrac{\sqrt{a} \pm \sqrt{b}}{a b}\)
Explanation:
\(y=\dfrac{1}{\sqrt{a}} \sin \omega t \pm \dfrac{1}{\sqrt{b}} \sin \left(\omega t+\dfrac{\pi}{2}\right)\) Here phase difference \(=\dfrac{\pi}{2}\) Resultant amplitude \(=\sqrt{\left(\dfrac{1}{\sqrt{b}}\right)^{2}+\left(\dfrac{1}{\sqrt{b}}\right)^{2}}=\sqrt{\dfrac{1}{a}+\dfrac{1}{b}}=\sqrt{\dfrac{a+b}{a b}}\)
PHXI15:WAVES
355082
The ratio of intensities of two waves is 16:9. If they produce interference, then the ratio of maximum and minimum will be
