List of top Questions asked in JKCET- 2012

Which of the following is the correct Kirchhoff's loop rule?

If mean and variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value atleast one is

The value of $a$ for which the volume of parallelepiped formed by the vectors $\hat {i}+a\hat{j} + \hat{k} \,\, \hat{j}+a\hat{k} $ and $ a\hat{i}+\hat{k} $ is minimum, is

For the married couple living in Jammu, the probability that a husband will vote in an election is $ 0.5 $ and the probability that his wife will vote is $ 0.4 $ . The probability that the husband votes, given that his wife also votes is $ 0.7 $ . Then, the probability that husband and wife both will vote is

The sum of the series $ 5-\frac{10}{3}+\frac{20}{9}-\frac{40}{27}+.... $ is equal to

A rectangular coil, of sides $2 \,cm$ and $3\, cm$ respectively, has $10$ turns in it. It carries a current of $1 \,A$, and is placed in a uniform magnetic field of $0.2 \,T$ in such a manner that its plane makes an angle $60^{\circ}$ with the field direction. The torque on the loop is

What is the order of the reverse saturation current before break down in a Zener diode?

The value of the integral $ \int_{0}^{1}{x{{(1-x)}^{49}}\,dx} $ is equal to

If $ ^{m+n}P{{ }_{2}}=90 $ and $ ^{m-n}P{{ }_{2}}=30, $ then $ (m,n) $ is given by (where, m and n are positive integers)

If $ f(x)={{(1+x)}^{n}}, $ then the value of $ f(0)+f'(0)+\frac{f'\,'(0)}{2!}+.....+\frac{{{f}^{(n)}}(0)}{n!} $ is equal to

Let $ P(x,y) $ be a point on the curve $ {{y}^{2}}=4x $ at which the tangent is perpendicular to the line $ 2x+y=-2. $ Then, the coordinates of the point $P$ are

If the points $ (2a,\,a),\,(a,\,2a) $ and $ (a,\,\,a) $ form a triangle of area $ 32\text{ }sq $ units, then the centroid of the triangle is

Let \(f:R\to R\) be a function such that the third derivative of \(f(x)\) vanishes for all \(x\). If \(f(0)=1,\,f'(2)=4\) and \(f''(1)=2,\) then \(f(x)\) equals to

In the binomial expansion of $ {{(a-b)}^{n}},\,\,n\,\,\ge \,5, $ the sum of $5^{th}$ and $6^{th}$ term is zero. Then, $ \frac{a}{b} $ is equal to

The angle between the two lines $ \frac{2-x}{1}=\frac{y}{2}=\frac{z+3}{1} $ and $ \frac{x-4}{4}=\frac{y-1}{1}=\frac{z-5}{2} $ is

If $ f(x)={{\log }_{e}}\,(1+x)-{{\log }_{e}}(1-x), $ then the value of $ \int_{-1/2}^{1/2}{f(x)\,\,\,dx} $ equals to

A nucleophilic substitution reaction proceeds through $S _{ N } 1$ mechanism. So, the reaction is

The molecules in an ideal gas at $27^{\circ} C$ have a certain mean velocity. At what approximate temperature, will the mean velocity be doubled?

Dimension of universal gas constant $(R)$ is

A uniform rod of length $L$ and mass $M$ is held vertical, with its bottom end pivoted to the floor. The rod falls under gravity, freely turning about the pivot. If acceleration due to gravity is $g$, what is the instantaneous angular speed of the rod when it makes an angle $60^{\circ}$ with the vertical?

The product of reaction between aniline and acetic anhydride is

What are the dimensions of electrical conductivity?

The $ C-H $ bond distance is the longest in

The correct order of electron gain enthalpy $ (\Delta _{eg}H) $ of the halogen atoms is

Which of the following optical phenomena is involved in the propagation of light in an optical fibre?