JEE Main 2006 Question Paper with Solutions

Uncertainty in the position of an electron (mass = 9.1 × 10 -31 kg) moving with a velocity 300 ms -1 , accurate upto 0.001% will be (h = 6.63 × 10 -34 Js)

Which of the following chemical reactions depicts the oxidizing behaviour of H 2 SO 4 ?

The standard enthalpy of formation Δ f H o at 298 K for methane, CH 4 (g), is –74.8 kJ mol –1 . The additional information required to determine the average energy for C – H bond formation would be :

CH 3 Br + Nu - $\to$ CH 3 - Nu + Br - The decreasing order of the rate of the above reaction with nucleophiles (Nu – ) A to D is [Nu – = (A) PhO – , (B) AcO – , (C) HO–, (D) CH 3 O – ]

According to Bohr's theory, the angular momentum of an electron in 5 th orbit is

Let $W$ denote the words in the English dictionary. Define the relation $R$ by $R=\{(x, y) \in W \times W \mid$ the words $x$ and $y$ have at least one letter in common}. Then, $R$ is

At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are of be selected, if a voter votes for at least one candidate, then the number of ways in which he can vote is

If ${{a_1},{a_2},....{a_n}}$ are in H.P., then the expression ${{a_1}\,{a_2} + \,{a_2}\,{a_3}\, + .... + {a_{n - 1}}\,{a_n}}$ is equal to

A straight line through the point A ( 3 , 4 ) is such that its intercept between the axes is bisected at A . Its equation is :

In the ellipse, the distance between its foci is $6$ and minor axis is $8$ . Then its eccentricity is :

The function f ( x ) = x 2 + 2 x has a local minimum at

Let A = ( 1 2 3 4 ) and B = ( a 0 0 b ) , a , b ∈ N . Then

If A and B are square matrices of size n × n such that A 2 − B 2 = ( A − B ) ( A + B ) , then which of the following will be always true?

The value of $\int\limits_1^a {\left[ x \right]} f'\left( x \right)dx,a > 1$ where ${\left[ x \right]}$ denotes the greatest integer not exceeding $x$ is

At a telephone enquiry system the number of phone cells regarding relevant enquiry follow Poisson distribution with an average of $5$ phone calls during $10$ minute time intervals. The probability that there is at the most one phone call during a $10$ -minute time period is :

Among the following the one that gives positives iodoform test upon reaction with I 2 and N a O H is

Rate of a reaction can be expressed by Arrhenius equation as: $ k = A e − E / R T $ In this equation, E represents

Among the following mixtures, dipole-dipole as the major interaction, is present in

The term anomers of glucose refers to

Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is 100 $\Omega$ . The conductivity of this solution is 1.29 S m –1 . Resistance of the same cell when filled with 0.2 M of the same solution is 520 $\Omega$ , The molar conductivity of 0.02 M solution of the electrolyte will be