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IIT JEE 2010 PAPER 2 OFFLINE
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Questions
57
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Subtopic distribution
Difficulty distribution
57questions
Medium
40
70.2%
Easy
9
15.8%
Hard
8
14%
Question type distribution
57questions
Multiple Choices
42
73.7%
Numerical Answer Type (NAT)
15
26.3%
Syllabus
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2010 · Chemistry · Physical Chemistry · Structure Of Atom
IIT JEE 2010 PAPER 2 OFFLINE
The hydrogen like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.
Energy of the state S1 in units of the hydrogen atom ground state energy is:
Energy of the state S1 in units of the hydrogen atom ground state energy is:
2010 · Physics · Mechanics · Heat And Thermodynamics
IIT JEE 2010 PAPER 2 OFFLINE
A diatomic ideal gas is compressed adiabatically \({1 \over {32}}\) of its initial volume. If the initial temperature of the gas is Ti (in Kelvin) and the final temperature is a Ti, the value of \(a\) is
Enter a numerical response
2010 · Mathematics · Algebra · Matrices And Determinants
IIT JEE 2010 PAPER 2 OFFLINE
Let $k$ be a positive real number and let
$$\begin{aligned} A & =\left[\begin{array}{ccc} 2 k-1 & 2 \sqrt{k} & 2 \sqrt{k} \\ 2 \sqrt{k} & 1 & -2 k \\ -2 \sqrt{k} & 2 k & -1 \end{array}\right] \text { and } \\\\ \mathbf{B} & =\left[\begin{array}{ccc} 0 & 2 k-1 & \sqrt{k} \\ 1-2 k & 0 & 2 \sqrt{k} \\ -\sqrt{k} & -2 \sqrt{k} & 0 \end{array}\right] . \end{aligned}$$
If $\operatorname{det}(\operatorname{adj} A)+\operatorname{det}(\operatorname{adj} B)=10^6$, then $[k]$
is equal to _________.
[ Note : adj M denotes the adjoint of a square matrix M and $[k]$ denotes the largest integer less than or equal to $k$ ].
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2010 · Chemistry · Inorganic Chemistry · Periodic Table And Periodicity
IIT JEE 2010 PAPER 2 OFFLINE
Among the following, the number of elements showing only one non-zero oxidation state is :
O, Cl, F, N, P, Sn, Tl, Na, Ti
O, Cl, F, N, P, Sn, Tl, Na, Ti
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2010 · Physics · Electricity · Capacitor
IIT JEE 2010 PAPER 2 OFFLINE
At time t = 0, a battery of 10 V is connected across points A and B in the given circuit. If the capacitors have no charge initially, at what time (in seconds) does the voltage across them becomes 4 V? (Take ln5 = 1.6, ln3 = 1.1)
Enter a numerical response
2010 · Mathematics · Algebra · Sequences And Series
IIT JEE 2010 PAPER 2 OFFLINE
Let \({a_1},\,{a_{2\,}},\,{a_3}\)......,\({a_{11}}\) be real numbers satisfying \({a_1} = 15,27 - 2{a_2} > 0\,\,and\,\,{a_k} = 2{a_{k - 1}} - {a_{k - 2}}\,\,for\,k = 3,4,........11\). if \(\,\,\,{{a_1^2 + a_2^2 + .... + a_{11}^2} \over {11}} = 90\), then the value of \({{{a_1} + {a_2} + .... + {a_{11}}} \over {11}}\) is equal to :
Enter a numerical response