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IIT JEE 2008 PAPER 2 OFFLINE
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66
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180 mins
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IIT-JEE Advance - Previous Year Papers
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2008 · Physics · Mechanics · Work Power And Energy
IIT JEE 2008 PAPER 2 OFFLINE
A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k respectively (see figure I). The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio \(\frac{y}{x}\) is :
2008 · Chemistry · Physical Chemistry · Structure Of Atom
IIT JEE 2008 PAPER 2 OFFLINE
Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 \(\times\) 4 matrix given in the ORS.
| Column I | Column II | ||
|---|---|---|---|
| (A) | Orbital angular momentum of the electron in a hydrogen-like atomic orbital. | (P) | Principal quantum number |
| (B) | A hydrogen-like one-electron wave function obeying Pauli's principle. | (Q) | Azimuthal quantum number |
| (C) | Shape, size and orientation of hydrogen like atomic orbitals. | (R) | Magnetic quantum number |
| (D) | Probability density of electron at the nucleus in hydrogen-like atom. | (S) | Electron spin quantum number |
2008 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 2008 PAPER 2 OFFLINE
Let \(a,\,b,c\), \(p,q\) be real numbers. Suppose \(\alpha ,\,\beta\) are the roots of the equation \({x^2} + 2px + q = 0\) and \(\alpha ,{1 \over \beta }\) are the roots of the equation \(a{x^2} + 2bx + c = 0,\) where \({\beta ^2} \in \left\{ { - 1,\,0,\,1} \right\}\)
STATEMENT - 1 : \(\left( {{p^2} - q} \right)\left( {{b^2} - ac} \right) \ge 0\)
and
STATEMENT - 2 : \(b \ne pa\) or \(c \ne qa\)
2008 · Physics · Mechanics · Laws Of Motion
IIT JEE 2008 PAPER 2 OFFLINE
STATEMENT 1 : It is easier to pull a heavy object than to push it on a level ground.
and
STATEMENT 2 : The magnitude of frictional force depends on the nature of the two surfaces in contact.
2008 · Chemistry · Physical Chemistry · Ionic Equilibrium
IIT JEE 2008 PAPER 2 OFFLINE
Solubility product constants (K\(_{sp}\)) of salts of types MX, MX\(_2\) and M\(_3\)X at temperature T are 4.0 \(\times\) 10\(^{-8}\), 3.2 \(\times\) 10\(^{-14}\) and 2.7 \(\times\) 10\(^{-15}\), respectively. Solubilities (mol dm\(^{-3}\)) of the salts at temperature 'T' are in the order:
2008 · Mathematics · Algebra · Sequences And Series
IIT JEE 2008 PAPER 2 OFFLINE
Suppose four distinct positive numbers \({a_1},\,{a_{2\,}},\,{a_3},\,{a_4}\,\) are in G.P. Let \({b_1} = {a_1},{b_2} = {b_1} + {a_2},\,{b_3} = {b_2} + {a_{3\,\,}}\,\,\,and\,\,\,{b_4} = {b_3} + {a_4}\).
STATEMENT-1: The numbers \({b_1},\,{b_{2\,}},\,{b_3},\,{b_4}\,\) are neither in A.P. nor in G.P. and
STATEMENT-2 The numbers \({b_1},\,{b_{2\,}},\,{b_3},\,{b_4}\,\) are in H.P.