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AIEEE 2008
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105
Duration
180 mins
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IIT-JEE Main - Previous Year Papers
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2008 · Physics · Modern Physics · Dual Nature Of Radiation
AIEEE 2008
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).
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)
2008 · Chemistry · Physical Chemistry · Solid State
AIEEE 2008
In a compound atoms of element Y from ccp lattice and those of element X occupy 2/3rd of tetrahedral
voids. The formula of the compound will be :
2008 · Mathematics · Algebra · Binomial Theorem
AIEEE 2008
Statement - 1 : \(\sum\limits_{r = 0}^n {\left( {r + 1} \right)\,{}^n{C_r} = \left( {n + 2} \right){2^{n - 1}}.}\)
Statement - 2 : \(\sum\limits_{r = 0}^n {\left( {r + 1} \right)\,{}^n{C_r}{x^r} = {{\left( {1 + x} \right)}^n} + nx{{\left( {1 + x} \right)}^{n - 1}}.}\)
Statement - 2 : \(\sum\limits_{r = 0}^n {\left( {r + 1} \right)\,{}^n{C_r}{x^r} = {{\left( {1 + x} \right)}^n} + nx{{\left( {1 + x} \right)}^{n - 1}}.}\)
2008 · Physics · Modern Physics · Dual Nature Of Radiation
AIEEE 2008
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).
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
$$\left( {h = 6.6 \times {{10}^{ - 34}}Js,{m_e} = 9.1 \times {{10}^{ - 31}}kg,\,e = 1.6 \times {{10}^{ - 19}}C} \right)$$
2008 · Chemistry · Physical Chemistry · Surface Chemistry
AIEEE 2008
Gold numbers of protective colloids A, B, C and D are 0.50, 0.01, 0.10 and 0.005, respectively. The
correct order of their protective powers is
2008 · Mathematics · Algebra · Matrices And Determinants
AIEEE 2008
Let \(A\) be a square matrix all of whose entries are integers.
Then which one of the following is true?
Then which one of the following is true?