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AIEEE 2010
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90
Duration
180 mins
Package
IIT-JEE Main - Previous Year Papers
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90questions
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31
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90questions
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2010 · Physics · Mechanics · Heat And Thermodynamics
AIEEE 2010
A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from \(V\) to \(32\) \(V\), the efficiency of the engine is
2010 · Chemistry · Physical Chemistry · Gaseous State
AIEEE 2010
If 10–4 dm3 of water is introduced into a 1.0 dm3 flask to 300 K, how many moles of water are in the vapour phase when equilibrium is established ?
(Given : Vapour pressure of H2O at 300 K is 3170 Pa ; R = 8.314 J K–1 mol–1)
(Given : Vapour pressure of H2O at 300 K is 3170 Pa ; R = 8.314 J K–1 mol–1)
2010 · Mathematics · Algebra · Binomial Theorem
AIEEE 2010
Let \({s_1} = \sum\limits_{j = 1}^{10} {j\left( {j - 1} \right){}^{10}} {C_j}\),
\({{s_2} = \sum\limits_{j = 1}^{10} {} } j.{}^{10}{C_j}\) and
$${{s_3} = \sum\limits_{j = 1}^{10} {{j^2}.{}^{10}{C_j}.} }$$
\({{s_2} = \sum\limits_{j = 1}^{10} {} } j.{}^{10}{C_j}\) and
$${{s_3} = \sum\limits_{j = 1}^{10} {{j^2}.{}^{10}{C_j}.} }$$
Statement-1 : \({{S_3} = 55 \times {2^9}}\).
Statement-2 : \({{S_1} = 90 \times {2^8}}\) and \({{S_2} = 10 \times {2^8}}\).
2010 · Physics · Modern Physics · Atoms And Nuclei
AIEEE 2010
A radioactive nucleus (initial mass number \(A\) and atomic number \(Z\) emits \(3\,\alpha\)- particles and \(2\) positrons. The ratio of number of neutrons to that of protons in the final nucleus will be
2010 · Chemistry · Physical Chemistry · Solid State
AIEEE 2010
The edge length of a face centered cubic cell of an ionic substance is 508 pm. If the radius of the
cation is 110 pm, the radius of the anion is :
2010 · Mathematics · Algebra · Vector Algebra
AIEEE 2010
Let \(\overrightarrow a = \widehat j - \widehat k\) and \(\overrightarrow c = \widehat i - \widehat j - \widehat k.\) Then the vector \(\overrightarrow b\) satisfying \(\overrightarrow a \times \overrightarrow b + \overrightarrow c = \overrightarrow 0\) and \(\overrightarrow a .\overrightarrow b = 3\) :