Question
If an interference pattern have maximum and minimum intensities in $36 : 1$ ratio then what will be the ratio of amplitudes

Answer

(d)$\frac{{{I_{\max }}}}{{{I_{\min }}}} = {\left( {\frac{{\frac{{{a_1}}}{{{a_2}}} + 1}}{{\frac{{{a_1}}}{{{a_2}}} - 1}}} \right)^2} \Rightarrow \frac{{{a_1} + {a_2}}}{{{a_1} - {a_2}}} = 6$
$\frac{{{a_2}}}{{{a_1}}} = 7:5$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Force acting on a particle moving in a straigth line varies with the velocity of the particle as $F =\frac {K}{v},$ where $K$ is a constant. The work done by this force in time $t$ is
Two small equal point charges of magnitude $q$ are suspended from a common point on the ceiling by insulating mass less strings of equal lengths. They come to equilibrium with each string making angle $\theta $ from the vertical. If the mass of each charge is $m,$ then the electrostatic potential at the centre of line joining them will be $\left( {\frac{1}{{4\pi { \in _0}}} = k} \right).$
Doping of intrinsic semiconductor is done
The length of a potentiometer wire is $l$. $A$ cell of $\mathrm{emf}$ $E$ is balanced at a length $l/3$ from the positive end of the wire. If the length of the wire is increased by $l/2$. At what distance will the same cell give a balance point.
One end of a uniform wire of length $L$ and of weight $W$ is attached rigidly to a point in the roof and a weight ${W_1}$ is suspended from its lower end. If $S$ is the area of cross-section of the wire, the stress in the wire at a height $3L/4$ from its lower end is
$A$ rectangular coil of single turn, having area $A$, rotates in a uniform magnetic field $B$ an angular velocity $\omega$ about an axis perpendicular to the field. If initially the plane of coil is perpendicular to the field, then the average induced $e.m.f.$ when it has rotated through $90^o$ is
Consider the following satements:
Statement I: A particle moving along straight line travels 10 m in third seconds.
Statement II: When a nucleus is formed some energy is released that is known as binding energy.
Statement III: Alternating voltage works with transformer but DC voltage does not:
In the light of above statements choose one correct option from below:
A body of mass $2\, kg $ moving with a velocity of $3 \,m/sec$ collides head on with a body of mass $1\, kg$ moving in opposite direction with a velocity of $4 \,m/sec$. After collision, two bodies stick together and move with a common velocity which in m/sec is equal to
An uniform thin rod of length $2 L$ and mass $m$ lies on a horizontal table. A horizontal impulse $J$ is given to the rod at one end. There is no friction. The total kinetic energy of the rod just after the impulse will be
A microscope was initially placed in air (refractive index $1)$. It is then immersed in oil (refractive index $2)$. For a light whose wavelength in air is $\lambda$, calculate the change of microscope's resolving power due to oil and choose the correct option.