1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
In an experiment, electrons are made to pass through a narrow slit of width $$'d'$$ comparable to their de Broglie wavelength. They are detected on a screen at a distance $$'D'$$ from the slit (see figure). AIEEE 2008 Physics - Dual Nature of Radiation Question 142 English

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$$\left. \, \right)$$

A
AIEEE 2008 Physics - Dual Nature of Radiation Question 142 English Option 1
B
AIEEE 2008 Physics - Dual Nature of Radiation Question 142 English Option 2
C
AIEEE 2008 Physics - Dual Nature of Radiation Question 142 English Option 3
D
AIEEE 2008 Physics - Dual Nature of Radiation Question 142 English Option 4
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained by requiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see figure). AIEEE 2008 Physics - Dual Nature of Radiation Question 126 English

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
$$\left( {h = 6.6 \times {{10}^{ - 34}}Js,{m_e} = 9.1 \times {{10}^{ - 31}}kg,\,e = 1.6 \times {{10}^{ - 19}}C} \right)$$

A
$$2000$$ $$V$$
B
$$50$$ $$V$$
C
$$500$$ $$V$$
D
$$1000$$ $$V$$
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained by requiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see figure). AIEEE 2008 Physics - Dual Nature of Radiation Question 125 English

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)

A
$$d\,\sin \,i = n{\lambda _{dB}}$$
B
$$2d\,\cos \,i = n{\lambda _{dB}}$$
C
$$2d\,\sin \,i = n{\lambda _{dB}}$$
D
$$d\,\cos \,i = n{\lambda _{dB}}$$
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
If $${g_E}$$ and $${g_M}$$ are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio
$${{electro\,\,ch\arg e\,\,on\,\,the\,\,moon} \over {electronic\,\,ch\arg e\,\,on\,\,the\,\,earth}}\,\,to\,be$$
A
$${g_M}/{g_E}$$
B
$$1$$
C
$$0$$
D
$${g_E}/{g_M}$$
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