![AIEEE 2008 Physics - Dual Nature of Radiation Question 172 English](https://imagex.cdn.examgoal.net/o0s0xYSCUFvunsQ3V/0gHl8SXjTdSDKMMarKJ4HAvOqC8cz/dI90TkyFjfxq3kEW7zuroA/image.png)
Which of the following graphs can be expected to represent the number of electrons $$'N'$$ detected as a function of the detector position $$'y'\left( {y = 0} \right.$$ corresponds to the middle of the slit$$\left. \, \right)$$
![AIEEE 2008 Physics - Dual Nature of Radiation Question 155 English](https://imagex.cdn.examgoal.net/R2GzkcczIHDVpGkBs/nIi4fPSW2ayuiJi9ZmKZYqlcG2v2o/NDW1DmQsIsTPI15qyFuMU0/image.png)
Electrons accelerated by potential $$V$$ are diffracted from a crystal. If $$d = 1\mathop A\limits^ \circ $$ and $$i = {30^ \circ },\,\,\,V$$ should be about
$$\left( {h = 6.6 \times {{10}^{ - 34}}Js,{m_e} = 9.1 \times {{10}^{ - 31}}kg,\,e = 1.6 \times {{10}^{ - 19}}C} \right)$$
![AIEEE 2008 Physics - Dual Nature of Radiation Question 154 English](https://imagex.cdn.examgoal.net/R2GzkcczIHDVpGkBs/nIi4fPSW2ayuiJi9ZmKZYqlcG2v2o/NDW1DmQsIsTPI15qyFuMU0/image.png)
If a strong diffraction peak is observed when electrons are incident at an angle $$'i'$$ from the normal to the crystal planes with distance $$'d'$$ between them (see figure), de Broglie wavelength $${\lambda _{dB}}$$ of electrons can be calculated by the relationship ($$n$$ is an integer)