List of top Questions asked in JKCET

Here, $ [x] $ denotes the greatest integer less than or equal to $ x $ . Given that $ f(x) = [x] + x $ . The value obtained when this function is integrated with respect to $ x $ with lower limit as $ \frac{3}{2} $ and upper limit as $ \frac{9}{2} $ , is
What will be the value of activation energy ( $ E_a $ in $ kJ $ ) and rate constant ( $ k\, in\, min^{-1} $ ) for the given equation at $ 27^{\circ}C $ ? The equation : $ lnk = - 2576/T+ 12.1 $
The absolute temperature of a gas is increased to $ 16 $ times of the original temperature. The rms speed of its molecules will become
When a simple pendulum is moved from the Earth's surface to deep mine, the period of oscillation
$ n $ identical capacitors are joined in parallel and charged to a potential $ V $ . The charged capacitors are disconnected and then connected in series using insulating handles such that the positive plate of one is connected to the negative plate of the other. The potential difference across the free plates of the combination is
How many bridging carbonyl $ (s) $ is/are present in the compound $ Fe_3(CO)_{12} $ compound?
Allene $ (C_3H_4) $ contains
A converging lens has a focal length of $ 0.12\, m $ . To get an image of unit magnification the object should be placed at what distance from the converging lens?
Which of the following pairs of organic compounds give positive Tollens? test?
Which of the following elements involves gradual filling of $ 4f $ -levels?
The geometry and type of hybrid orbital present around the central atom in $ BF_3 $ is
$ IF_7 $ is known to exist while $ BrF_7 $ does not exist. The reason is
A bird flies at an angle of $ 60^{\circ} $ to the horizontal. Its horizontal component of velocity is $ 10\, m\, s ^{-1} $ . Find the vertical component of velocity in $ m s ^{-1} $ .
A very long conductor carries a current of $ 1 A $ . The magnetic field at a point whose distance is $ 0.1\, m $ from one end of the conductor is (in $ T $ )
A body of mass $ 5 \,kg $ acquires an angular acceleration of $ 10\, rad\, s^{-2} $ by an applied torque of $ 2 \,N m $ . Find its radius of gyration.
A projectile is fired at an angle of $ 45^{\circ} $ and reaches the highest point in its path after $ 2\sqrt2\,s $ . Find the velocity of projectile in $ m s ^{-1} $ ,
The motion of a particle is represented by the equation $ S = 8t^3 - 2t^2+ 6t + 7 $ . Find the velocity of the particle at the end of $ 2 $ seconds in $ m s^{-1} $
In a Young?s double slit experiment, the two slits which are separated by $ 1.2\, mm $ are illuminated with a monochromatic light of wavelength $ 6000 $ angstorm. The interference pattern is observed on a screen placed at a distance of $ 1m $ from the slits. Find the number of bright fringes formed over $ 1 \,cm $ width on the screen.
What will be the distance of $ (1, 0, 2) $ from the point of intersection of plane $ x - y + z = 16 $ and the line $ \left(\frac{x-2}{3}\right) = \left(\frac{y+1}{4}\right) = \left(\frac{z-2}{12}\right) $ ?
$ P $ speaks truth in $ 70\% $ cases and $ Q $ speaks in $ 80\% $ of the cases. In what percentage of cases are they likely to contradict each other in stating the same fact?
The sulphur compound in which the sulphur atom has octet configuration in its valence shell among the following is
The atom of largest size among the following is
If $ X=\left\{-2, -1, 0, 1,2,3, 4, 5, 6, 7, 8\right\} $ and $ A=\left\{x : \left|x-2\right|\le3, x \, is\,an\, integer\right\}, $ then $ X-A= $
If $ y=tan^{-1}\left(\frac{2x}{1+3x^{2}}\right)+tan^{-1}\left(\frac{5+x}{1-5x}\right) $ , then $ \frac{dy}{dx}= $
Let $ A(a, 0) $ , $ B(0, b) $ and $ C (1, 1) $ be three points. If $ \frac{1}{a}+\frac{1}{b}=1 $ , then the three points are