Exam Details
JEE ADVANCED 2017 PAPER 1 OFFLINE
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Questions
54
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Subtopic distribution
Difficulty distribution
54questions
Medium
39
72.2%
Hard
10
18.5%
Easy
5
9.3%
Question type distribution
54questions
Multiple Choices
39
72.2%
Numerical Answer Type (NAT)
15
27.8%
Syllabus
Full Syllabus
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2017 · Physics · Optics · Geometrical Optics
JEE ADVANCED 2017 PAPER 1 OFFLINE
A monochromatic light is travelling in a medium of refractive index \(n=1.6.\) It enters a stack of glass layers from the bottom side at an angle \(\theta = {30^ \circ }.\) The interfaces of the glass layers are parallel to each other. The refractive indices of different glass layers are monotonically decreasing as \({n_m} = n - m\Delta n,\) where \({n_m}\) is the refractive index of the \({m^{th}}\) slab and \(\Delta n = 0.1\) (see the figure). The ray is refracted out parallel to the interface between the \({\left( {m - 1} \right)^{th}}\) and \({m^{th}}\) slabs from the right side of the stack. What is the value of \(m\)?
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2017 · Chemistry · Organic Chemistry · Basics Of Organic Chemistry
JEE ADVANCED 2017 PAPER 1 OFFLINE
Among the following, the number of aromatic compound(s) is
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2017 · Mathematics · Algebra · Matrices And Determinants
JEE ADVANCED 2017 PAPER 1 OFFLINE
For a real number \(\alpha\), if the system
$$\left[ {\matrix{ 1 & \alpha & {{\alpha ^2}} \cr \[\alpha & 1 & \alpha \cr\] \[{{\alpha ^2}} & \alpha & 1 \cr\] } } \right]\left[ {\matrix{ x \cr y \cr z \cr } } \right] = \left[ {\matrix{ 1 \cr { - 1} \cr 1 \cr } } \right]$$
of linear equations, has infinitely many solutions, then 1 + \(\alpha\) + \(\alpha\)2 =
$$\left[ {\matrix{ 1 & \alpha & {{\alpha ^2}} \cr \[\alpha & 1 & \alpha \cr\] \[{{\alpha ^2}} & \alpha & 1 \cr\] } } \right]\left[ {\matrix{ x \cr y \cr z \cr } } \right] = \left[ {\matrix{ 1 \cr { - 1} \cr 1 \cr } } \right]$$
of linear equations, has infinitely many solutions, then 1 + \(\alpha\) + \(\alpha\)2 =
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2017 · Physics · Mechanics · Properties Of Matter
JEE ADVANCED 2017 PAPER 1 OFFLINE
A drop of liquid of radius \(R = {10^{ - 2}}\,m\) having surface tension \(S = {{0.1} \over {4\pi }}N{m^{ - 1}}\) divides itself into \(K\) identical drops. In this process the total change in the surface energy \(\Delta U = {10^{ - 3}}\,J.\) If \(K = {10^\alpha }\) then the value of \(\alpha\) is
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2017 · Chemistry · Physical Chemistry · Electrochemistry
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The conductance of a \(0.0015\) \(M\) aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized \(Pt\) electrodes. The distance between the electrodes is \(120\) \(cm\) with an area of cross section of \(1\) \(c{m^2}.\) The conductance of this solution was found to be \(5 \times {10^{ - 7}}S.\) The \(pH\) of the solution is \(4.\) The value of limiting molar conductivity \(\left( {\Lambda _m^o} \right)\) of this weak monobasic acid in aqueous solution is \(Z \times {10^2}S\) \(c{m^2}\) \(mo{l^{ - 1}}.\) The value of \(Z\) is
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2017 · Mathematics · Algebra · Permutations And Combinations
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Words of length 10 are formed using the letters A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter is repeated; and let y be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then, \({y \over {9x}}\) = ?
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