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## IIT-JEE 2002 Screening

Exam Held on Thu Apr 11 2002 09:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

## Chemistry

How many moles of electron weigh one kilogram?
Rutherford's experiment, which established the nuclear model of the atom, used a...
If the nitrogen atom has electronic configuration 1s<sup>7</sup>, it would have ...
Identify the correct order of acidic strengths of CO<sub>2</sub>, CuO, CaO, H<su...
Specify the coordination geometry around and hybridisation of N and B atoms in a...
Identify the least stable ion amongst the following
Which of the following molecular species has unpaired electrons(s)?

## Mathematics

For all complex numbers $${z_1},\,{z_2}$$ satisfying $$\left| {{z_1}} \right| = ... The number of integral values of$$k$$for which the equation$$7\cos x + 5\sin ...
If $${a_1},{a_2}.......,{a_n}$$ are positive real numbers whose product is a fix...
The set of all real numbers x for which $${x^2} - \left| {x + 2} \right| + x &gt... The sum$$\sum\limits_{i = 0}^m {\left( {\matrix{ {10} \cr i \cr } }...
The number of arrangements of the letters of the word BANANA in which the two N'...
Suppose $$a, b, c$$ are in A.P. and $${a^2},{b^2},{c^2}$$ are in G.P. If $$a &lt... Let$$0 &lt; \alpha &lt; {\pi \over 2}$$be fixed angle. If$$P = \left( {\cos...
Let $$P = \left( { - 1,\,0} \right),\,Q = \left( {0,\,0} \right)$$ and $$R = \le... A straight line through the origin$$O$$meets the parallel lines$$4x+2y=9$$an... If the tangent at the point P on the circle$${x^2} + {y^2} + 6x + 6y = 2$$mee... If$$a &gt; 2b &gt; 0$$then the positive value of$$m$$for which$$y = mx - b\...
The equation of the common tangent to the curves $${y^2} = 8x$$ and $$xy = - 1... The locus of the mid-point of the line segment joining the focus to a moving poi... Which of the following pieces of data does NOT uniquely determine an acute-angle... The length of a longest interval in which the function$$3\,\sin x - 4{\sin ^3}x...
The point(s) in the curve $${y^3} + 3{x^2} = 12y$$ where the tangent is vertical...
The area bounded by the curves $$y = \left| x \right| - 1$$ and $$y = - \left| ... The integral$$\int\limits_{ - 1/2}^{1/2} {\left( {\left[ x \right] + \ell n\lef...
Let $$f\left( x \right) = \int\limits_1^x {\sqrt {2 - {t^2}} \,dt.}$$ Then the...
Let $$T&gt;0$$ be a fixed real number . Suppose $$f$$ is a continuous <br> func...
Let $$T&gt;0$$ be a fixed real number . Suppose $$f$$ is a continuous <br> func...
If $${\overrightarrow a }$$ and $${\overrightarrow b }$$ are two unit vectors su...
Let \overrightarrow V = 2\overrightarrow i + \overrightarrow j - \overright...

## Physics

An ideal spring with spring-constant k is hung from the ceiling and a block of m...

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