MHT CET · Physics · Wave Optics
Two waves having amplitudes in the ratio 5:1 produce interference. The ratio of the maximum to minimum intensity is
- A \(6: 4\)
- B \(25: 1\)
- C \(3: 2\)
- D \(9: 4\)
Answer & Solution
Correct Answer
(D) \(9: 4\)
Step-by-step Solution
Detailed explanation
Let the amplitudes be \(5 x\) and \(x\) respectively.
The resultant waves will have maximum amplitude when both are in phase
Therefore, amplitudes should add up to \(5 x+x=6 x\)
During destructive interference, the waves are out of phase
Therefore, the resultant amplitude is \(x-5 x=-4 x\)
Maximum intensity \(\propto(\text { maximum amplitude })^2=36 x^2\)
Minimum intensity \(\propto(\text { minimum amplitude })^2=16 x^2\)
The ratio of the maximum to minimum intensity \(=\frac{36}{16}=\frac{9}{4}\)
The resultant waves will have maximum amplitude when both are in phase
Therefore, amplitudes should add up to \(5 x+x=6 x\)
During destructive interference, the waves are out of phase
Therefore, the resultant amplitude is \(x-5 x=-4 x\)
Maximum intensity \(\propto(\text { maximum amplitude })^2=36 x^2\)
Minimum intensity \(\propto(\text { minimum amplitude })^2=16 x^2\)
The ratio of the maximum to minimum intensity \(=\frac{36}{16}=\frac{9}{4}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- An electromagnetic wave, whose wave normal makes an angle of \(45^{\circ}\) with the vertical, travelling in air strikes a horizontal liquid surface. While travelling through the liquid it gets deviated through \(15^{\circ}\). What is the speed of the electromagnetic wave in the liquid, if the speed of electromagnetic wave in air is \(3 \times 10^8 \mathrm{~m} / \mathrm{s}\) ? \(\left(\sin 30^{\circ}=0 \cdot 5, \sin 45^{\circ}=\frac{1}{\sqrt{2}}\right)\)MHT CET 2023 Medium
- A cylindrical tube open at both ends has fundamental frequency ' \(n\) ' in air. The tube is dipped vertically in water so that one-fourth of it is in water. The fundamental frequency of the air column becomesMHT CET 2021 Hard
- A horizontal wire of mass ' \(\mathrm{m}\) ', length ' \(l\) ' and resistance ' \(R\) ' is sliding on the vertical rails on which uniform 'magnetic field ' \(B\) ' is directed perpendicular. The terminal speed of the wire as it falls under the force of gravity is ( \(\mathrm{g}=\) acceleration due to gravity)MHT CET 2023 Easy
- A bar magnet of magnetic moment \(5 \mathrm{Am}^{2}\) is placed in a uniform magnetic induction \(3 \times 10^{-5} \mathrm{~T}\). If each pole of a magnet experiences a force of \(2 \cdot 5 \times 10^{-4} \mathrm{~N}\) then the magnetic length of the magnet isMHT CET 2020 Hard
- Magnetic susceptibility for a paramagnetic and diamagnetic material is respectivelyMHT CET 2018 Medium
- With an alternating voltage source of frequency ' \(\mathrm{f}\) ', inductor ' \(\mathrm{L}\) ', capacitor ' \(\mathrm{C}\) ' and resistance ' \(R\) ' are connected in series. The voltage leads the current by \(45^{\circ}\). The value of ' \(L\) ' is \(\left(\tan 45^{\circ}=1\right)\)MHT CET 2023 Hard
More PYQs from MHT CET
- The total energy of a circularly orbiting satellite isMHT CET 2025 Easy
- The equation of a line, whose perpendicular distance from the origin is 7 units and the angle, which the perpendicular to the line from the origin makes, is \(120^{\circ}\) with positive \(\mathrm{X}\)-axis, isMHT CET 2023 Easy
- Select the INCORRECT statements with respect to colostrum.MHT CET 2021 Medium
- The spiral configuration of a-helix and ẞ-helix of polypeptide chains are held together by_________ bonds to form secondary structure of protein.MHT CET 2021 Hard
- In a common emitter transistor amplifier circuit, the input resistance is \(1 \cdot 8 \mathrm{~K} \Omega\) and output is obtained across a load resistance of \(9 \mathrm{~K} \Omega\). The alternating current gain is 70 . Corresponding to an a.c. input voltage of 6 mV , the output voltage will beMHT CET 2025 Medium
- The angle between the line \(\frac{x+1}{2}=\frac{y-2}{1}=\frac{z-3}{-2}\) and plane \(x-2 y-\lambda z=3\) is \(\cos ^{-1}\left(\frac{2 \sqrt{2}}{3}\right)\), then value of \(\lambda\) isMHT CET 2023 Easy