Question
In a Young's double slit experiment $\lambda=500\ \text{nm}, d = 1.0\ mm$ and $D = 1.0m$. Find the minimum distance from the central maximum for which the intensity is half of the maximum intensity.
✓
Answer
Given that$, D = 1m, d = 1\ mm = 10^{-3}m, \lambda=500\ \text{nm}=5\times10^{-7}\text{m}$
For intensity to be half the maximum intensity.
$\text{y}=\frac{\lambda\text{D}}{4\text{d}}$
$\Rightarrow\text{y}=\frac{5\times10^{-7}\times1}{4\times10^{-3}}$
$\Rightarrow\text{y}=1.25\times10^{-4}\text{m}.$
For intensity to be half the maximum intensity.
$\text{y}=\frac{\lambda\text{D}}{4\text{d}}$
$\Rightarrow\text{y}=\frac{5\times10^{-7}\times1}{4\times10^{-3}}$
$\Rightarrow\text{y}=1.25\times10^{-4}\text{m}.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The force on a charged particle due to electric and magnetic fields is given by $\overrightarrow{\text{F}}=\text{q}\overrightarrow{\text{E}}+\text{q}\overrightarrow{\text{v}}\times\overrightarrow{\text{B}}.$ Suppose $\overrightarrow{\text{E}}$ is along the X-axis and $\overrightarrow{\text{B}}$ along the Y-axis. In what direction and with what minimum speed v should a positively charged particle be sent so that the net force on it is zero?
→Why are cells combined ? Also, how can the combination of cells be done?
The average kinetic energy of molecules in a gas at temperature $T$ is $1.5\ kT.$ Find the temperature at which the average kinetic energy of the molecules of hydrogen equals the binding energy of its atoms. Will hydrogen remain in molecular from at this temperature? Take $k = 8.62 \times 10^{-5}eV\ K^{-1}.$
→Two 120V light bulbs, one of 25W and the other of 200W were connected in series across a 240V line. One bulb burnt out almost instantaneously. Which one was burnt and why?
A wire of copper whose radius is 0.1 mm and resistance are $2 k \Omega$. It is joined with a supply of 40 V . Find: (i) how many electrons are transferred per second between one end of the wire and the supply? (ii) what will be current density of the wire?
→Answer the following question:
The energy and momentum of an electron are related to the frequency and wavelength of the associated matter wave by the relations:
$\text{E}=\text{h v, p}=\frac{\text{h}}{\lambda}$
But while the value of λ is physically significant, the value of ν (and therefore, the value of the phase speed ν λ) has no physical significance. Why?
→The energy and momentum of an electron are related to the frequency and wavelength of the associated matter wave by the relations:
$\text{E}=\text{h v, p}=\frac{\text{h}}{\lambda}$
But while the value of λ is physically significant, the value of ν (and therefore, the value of the phase speed ν λ) has no physical significance. Why?
A 44 m H inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.
A single lens is mounted in a tube. A parallel beam enters the tube and emerges out of the tube as a divergent beam. Can you say with certainty that there is a diverging lens in the tube?
The graph shown here shows the variation of total energy (E) stored in a capacitor against the value of the capacitance (C) itself. Which of the two: the charge on capacitor or the potential used to charge it, is kept constant for this graph?
The peak power consumed by a resistive coil, when connected to an AC source, is 80W. Find the energy consumed by the coil in 100 seconds, which is many times larger than the time period of the source.