List of top Questions asked in KEAM

The amount of solute (molar mass $ 60\text{ }g\text{ }mo{{l}^{-1}} $ ) that must be added to $180\, g$ of water so that the vapour pressure of water is lowered by $10\%$, is

The ratio of the respective de Broglie wavelengths associated with electrons accelerated from rest with the voltages 100 V, 200 V and 300 V is

Suppose $a, b$ and $c$ are real numbers such that $ \frac{a}{b}>1 $ and $ \frac{a}{c}<0 $ . Which one of the following is true?

If $\begin{pmatrix}2x+y&x+y\\ p-q&p+q\end{pmatrix}=\begin{pmatrix}1&1\\ 0&0\end{pmatrix}$ , then $(x, y, p, q) $ equals

A bullet when fired into a target loses half of its velocity after penetrating $20\, cm$. Further distance of penetration before it comes to rest is

If $r$ is a real number such that $ |r| < 1 $ and if $ a=5(1-r), $ then

An object, moving with velocity $5\,m / s$, undergoes an acceleration of $1\,m / s ^{2}$ at time $t=0 .$ If the object has a mass of $1\,kg$, the kinetic energy ( KE) of the object at time $t=5\, s$ is

If $C_{0}$, $C_{1}$, $C_{2}$, $C_{3}$, $\cdots$ are binomial coefficients in the expansion of $(1 + x)^n$, then $\frac{C_{0}}{3}- \frac{C_{1}}{4}+ \frac{C_{2}}{5}- \frac{C_{3}}{6}+ \cdots$ is equal to

Two stretched strings of same material are vibrating under same tension in fundamental mode. The ratio of their frequencies is 1 : 2 and ratio of the length of the vibrating segments is 1 : 4. Then the ratio of the radii of the strings is

A lamp consumes only $25\%$ of the peak power in an ac circuit. The phase difference between the applied voltage and the current is

The density of kerosene is $800 \,kg \,m^{-3}$. Its relative density is

Mixing of $N_2$ and $H_2$ form an ideal gas mixture at room temperature in a container. For this process, which of the following statement is true?

A ray of light is incident at $60^{\circ}$ on one face of a prism of angle $30^{\circ}$ and the emergent ray makes $30^\circ$ with the incident ray. The refractive index of the prism is

If a closed organ pipe has the same third harmonic frequency as that of an open organ pipe, then their respective lengths are in the ratio

Two waves are given by $y_1 = \cos \, (4t - 2x)$ and $y_2 = sin \, \big(4t - 2x + \frac{\pi}{4} \big).$ The phase difference between the two waves is

A plane square sheet of charge of side $0.5\, m$ has uniform surface charge density. An electron at $1\, cm$ from the centre of the sheet experiences a force of $1.6 \times 10^{-12}\, N$ directed away from the sheet. The total charge on the plane square sheet is $\left(\varepsilon_{0}=8.854 \times 10^{-12} C ^{2} m ^{-2}\, N ^{-1}\right)$

Specialized cells called heterocysts are present in:

The unit of self-inductance is

If a straight line passes through the points $ \left( \frac{-1}{2},1 \right) $ and $(1, 2)$, then its $x$-intercept is

$200\, mL$ of water is added to a $500\, mL$ of $0.2 \,M$ solution. What is the molarity of this diluted solution?

In the diagram given above, some of the algae have been labelled as a, b, c, d and e. These algae are respectively identified as :

The correct equation for the degree of association $'\alpha'$ of an associating solute, $'n'$ molecules of which undergoes association in solution, is

Let $\Delta= \begin{vmatrix}1&1&1\\ 1&-1-w^{2}&w^{2}\\ 1&w&w^{4}\end{vmatrix}$, where $w \neq 1$ is a complex number such that $w^3 = 1$. Then $\Delta$ equals

If $n\left(A\right)=43, n\left(B\right)=51\quad and \quad n\left(A\cup B\right)=75, then\quad n\left(A-B\right)\cup\left(B-A\right)$ is equal to

The increasing order of electronegativity of the three elements O,F and Na is