List of top Questions asked in JKCET

The $ EMF $ of a galvanic cell by coupling two electrodes $ M_{1} \left|M_{1}^{2+}\left(0.1 \, M\right)\right|\left|M_{2}^{2+}\left(0.01\,M\right)\right|M_{2} $ is $ +1.47\,V $ . If the $ E^{\circ} $ value (reduction potential) of $ M_{2} $ electrode is $ 0.9\, V, E^{\circ} $ (reduction potential) value of $ M_{1} $ electrode in volts would be $ \left[Assume \frac{2.303RT\left(T=298\,k\right)}{F}=0.06\right] $

For an object placed in front of a convex mirror of focal length $ f $ , its image is formed

The temperature of source of a Carnot engine of efficiency $ 20\% $ when the heat exhausted is at $ 240 \,K $ is

A metallic wire of cross sectional area $ 4 \, mm^{2} $ carries a current of $ 3.2 \, A $ . If $ 5 \times 10^{26} $ charge carriers flow across the wire per unit volume, then their drift velocity in $ m \,s^{-1} $ is

In a potentiometer, auniform potential gradient of $ 0.8 \,V \,m^{-1} $ is maintained across its $ 10 \,m $ wire. The potential difference across two points on the wire located at $ 0 \,m \,65\, cm $ and $ 2 \,m\, 45 \,cm $ is

In the plot of $ PV $ vs $ P $ at $ 273\, K $ , positive deviation from ideal behaviour under all pressure conditions is shown by the gas

The correct statement about electric dipole is

A ball is projected up at an angle $\theta$ with horizontal from the top of a tower with speed $v$. It hits the ground at point $A$ after time $t_{A}$ with speed $v_{A}$ . Now, this ball is projected at same angle and speed from the base of the tower (located at point $P$) and it hits ground at point $B$ after time $t_{B}$ with speed $v_{B}$. Then

A person is standing on a weighing-scale and observes that the reading is $60\,kg$ . He then suddenly jumps up and observes that reading goes to $70\,kg$ . Then his maximum upward acceleration is

If $ ^{32}{{P}_{6}}=k\,{{(}^{32}}{{C}_{6}}), $ then $k$ is equal to

Which of the following is a tangent to the curve given by $ {{x}^{3}}+{{y}^{3}}=2xy? $

Consider the curve given by $ {{({{x}^{2}}+{{y}^{2}})}^{2}}=4({{x}^{2}}-{{y}^{2}}) $ . Which of the following is not true?

The points $ (1,3,4),\,(-1,6,10),\,(-7,4,7) $ and $ (-5,1,1) $

The sum of lengths of major and minor axes- of an ellipse whose eccentricity is $ \frac{4}{5} $ and length of latuserectum is $ 14.4 $ , is

If $ |\vec {a} |=7 $ and $ |\vec {b} |=11, $ then the angle between the vectors $\vec {a} +\vec {b} $ and $\vec {a} -\vec {b} $ is equal to

At present, a firm manufactures 1099 items. It is estimated that the rate of change of production P with respect to additional number of workers x is given by $ \frac{dP}{dx}=100-12\sqrt{x}. $ . If the firm empower 25 more workers, then the new level of production of items is

Let function $ f(x)={{(x-1)}^{2}}{{(x+1)}^{3}}. $ Then, which of the following is false?

In an isosceles right angled triangle $ABC$, a value of $ \tan \left( \frac{A}{2} \right)+\tan \left( \frac{B}{2} \right)+\tan \left( \frac{C}{2} \right) $ is

The function is $ f(x)=\frac{1}{2-\cos \,3x},\,x\,\in \left[ 0,\frac{\pi }{3} \right], $ is

The last digit in the integer $ {{3}^{101}}+1 $ is

$ \underset{x\to 0}{\mathop{\lim }}\,\,\frac{\sin {{x}^{2}}}{1-\cos x} $ is

The derivative of $sin\, x$ with respect to $ cos\text{ }x $ is

If getting a number greater than $4$ is a success in a throw of a fair die, then the probability of at least $2$ successes in six throws of a fair die is

Among $P, S, Cl, F$, the elements with most negative and least negative electron gain enthalpy respectively, are

The number of $Na$ atom in $46\, g \,Na$ (atomic weight of $Na= 23$) is