List of top Questions asked in WBJEE- 2011

Let $\tan \,\alpha = \frac{a}{a+1}$ and $\tan \,\beta = \frac{1}{2a + 1}$ then $\alpha + \beta$ is

Reaction of formaldehyde and ammonia gives

Which of the following compounds has maximum volatility?

The amount of the heat released when $20\,mL$ $0.5\, M\, NaOH$ is mixed with $100\, mL\, 0.1\, M\, HCl$ is $x\, kJ$. The heat of neutralization is

The ease of Nitration of the following three hydrocarbons follows the order

The magnetic field at the point of intersection of diagonals of a square wire loop of side $L$ carrying a current $I$ is

If sin $\theta = \frac{2t}{1+t^{2}}$ and $?$ lies in the second quadrant, then $cos\,\theta$ is equal to

If $\log_{7} \,2 = ?$, then the value of $\log_{49}\, \left(28\right)$ is

The solution of $\frac{dy}{dx} = \frac{y}{x}+\tan \frac{y}{x}$ is

If $^nC_4,\, ^nC_5$ and $^nC_6$ are in $A.P.$, then $n$ is

The ease of dehydrohalogenation of alkyl halide with alcoholic $KOH$ is

Among the alkenes which one produces tertiary butyl alcohol on acid hydration

Which one of the following will show optical isomerism?

If the molecular wt. of $Na_2S_2O_3$ and $I_2$ are $M_1$ and $M_2$ respectively, then what will be the equivalent wt. of $Na_2S_2O_3$ and $I_2$ in the following reaction? $\ce{2S2O^{2-}_3 + I2-> S4O^{2-}_6 + 2I-}$

If $\theta + \phi = \frac{\pi}{4}$, then $\left(1+ \tan\,?\right)\left(1+ \tan\,\phi\right)$ is equal to

Let $f(x) = \tan^{-1}x$. Then $f'(x) + f''(x)$ is = $0$, when $x$ is equal to

The number $(101)^{100} - 1$ is divisible by

ln the nuclear reaction $ _7^{14} N + X \rightarrow _6^{14} C + _1^1 H, $ the $X$ will be

A female Anopheles mosquito can be recognized by

A plano-concave lens is made of glass of refractive index $1.5$ and the radius of curvature of its curved face is $100 \,cm$. What is the power of the lens?

An object weights $m_1$, in a liquid of density $d_1$ and that in liquid of density $d_2\,$ is $\, m_2.$ The density $d$ of the object is

Hybridization of $C_2$ and $C_3$ of $H_3C - CH = C = CH - CH_3$ are

If the Earth were to suddenly contract to $\frac{1}{n}$ th of its present radius without any change in its mass, the duration of the new day will be nearly

A particle is moving with a constant speed $v$ in a circle. What is the magnitude of average velocity after half rotation ?

A material has Poisson?s ratio $0.50$. If a uniform rod of it suffers a longitudinal strain of $2 ? 10^{-3}$, then the percentage change in volume is