List of top Questions asked in JKCET

What is the total number of electrons that can have the values $n=2, l=1, s=1 / 2$ in the electronic configuration $1 s^{2} 2 s^{2} 2 p^{3} ?$

Which of the following pairs is not correctly matched?

Calculate the wavelength associated with an electron moving with a velocity of $10^{6} m / s$ (mass of $e^{-}=9.1 \times 10^{-31} kg,\, \left. h=6.6 \times 10^{-34} kg\, m ^{2} s ^{-1}\right)$

The bond order of $N _{2}^{+}$on the basis of molecular orbital theory is [Atomic number of $N =7$ ]

A magnifying glass of focal length $ 5\,cm $ is used to view an object by a person whose smallest distance of distinct vision is $ 25\,cm $ . If he holds the glass close to eye, the magnification is

A $50\,Hz\,AC$ signal is applied in a circuit of inductance of $ (1/\pi )H $ and resistance $ 2100\,\Omega $ The impedance offered by the circuit is

The scalar product of two vectors $ \vec{A} =2\hat{i}+2\hat{j}-\hat{k} $ and $\vec{B} = -\hat{j}+\hat{k}, $ is given by

Uniform circular motion is an example of

A projectile is thrown with initial velocity $v_{0}$ and angle $30^{\circ}$ with the horizontal. If it remains in the air for $1\, s$, what was its initial velocity?

The velocity vector of the motion described by the position vector of a particle, $\vec{r}=\left(2 t \hat{i}+t^{2} \hat{j}\right)$ is given by

Which of the following molecules has the maximum dipole moment?

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 $ 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

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)

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

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

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

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