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IIT-JEE 2007
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40
Duration
60 mins
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IIT-JEE Main - Previous Year Papers
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40questions
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5
12.5%
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40questions
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Sample questions from this paper
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2007 · Physics · Mechanics · Units And Measurements
IIT-JEE 2007
Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed
are given in Column II. Match the physical quantities in Column I with the units in Column II.
Column I
(A) GMeMs ,
G \(\to\) universal gravitational constant, Me \(\to\) mass of the earth,
Ms \(\to\) mass of the Sun
(B) \({{3RT} \over M}\),
R \(\to\) universal gas constant, T \(\to\) absolute temperature,
M \(\to\) molar mass
(C) \({{{F^2}} \over {{q^2}{B^2}}}\) ,
F \(\to\) force, q \(\to\) charge, B \(\to\) magnetic field
(D) \({{G{M_e}} \over {{R_e}}}\),
G \(\to\) universal gravitational constant,
Me \(\to\) mass of the earth, Re \(\to\) radius of the earth
Column II
(p) (volt) (coulomb) (metre)
(q) (kilogram) (metre)3 (second)−2
(r) (meter)2(second)−2
(s) (farad) (volt)2 (kg)−1
2007 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT-JEE 2007
Let \(\alpha ,\,\beta\) be the roots of the equation \({x^2} - px + r = 0\) and \({\alpha \over 2},\,2\beta\) be the roots of the equation \({x^2} - qx + r = 0\). Then the value of \(r\)
2007 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
IIT-JEE 2007
The species having bond order different from that in CO is
2007 · Mathematics · Algebra · Sequences And Series
IIT-JEE 2007
Let \({A_1}\), \({G_1}\), \({H_1}\) denote the arithmetic, geometric and harmonic means, respectively, of two distinct positive numbers. For \(n \ge 2,\,Let\,{A_{n - 1}}\,\,and\,\,{H_{n - 1}}\) have arithmetic, geometric and harminic means as \({A_n},{G_n}\,,{H_n}\) repectively.
Which one of the following statements is correct ?
2007 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
IIT-JEE 2007
Among the following the paramagnetic compound is
2007 · Mathematics · Algebra · Sequences And Series
IIT-JEE 2007
Let \(\,{V_r}\) denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is (2r-1). Let \({T_r} = \,{V_{r + 1}} - \,{V_r} - 2\,\,\,and\,\,\,{Q_r} = \,{T_{r + 1}} - \,{T_r}\,for\,r = 1,2,...\)
\({T_r}\) is always