List of top Questions asked in KEAM

Let \[ A = \begin{pmatrix} 2 & -1 & 1 \\ -1 & 0 & 2 \\ 1 & -2 & -1 \end{pmatrix} \] and let $ B = \frac{1}{|A|} A $. Then the value of $ |B| $ is equal to:

When a spring of spring constant $k$ is cut into two pieces whose lengths are $l_1$ and $l_2$, then the ratio of their spring constants $k_1$ and $k_2$ is

In bringing a proton towards another proton, the electrostatic potential energy of the system

The gravitational potential energy of a system of two bodies each of mass $m$ and distance $r$ between them is (G = gravitational constant, g = acceleration due to gravity)

An ink mark is made on a piece of paper and a glass slab of thickness $t$ and refractive index $\mu$ is placed on it. If the image of the ink mark appears to be at a distance of $x$ from the top surface of the slab, then the value of $x$ is

If the ratio of amplitudes of two light waves is 2 : 1, then the ratio between the intensities of the two waves is

In Young’s double slit experiment, to change the bandwidth from $\beta$ to $\frac{\beta}{4}$ without changing the experimental setup, the wavelength of light $\lambda$ used must be changed to

The instantaneous displacement of a particle executing simple harmonic motion is given by $x = 2(\cos(\pi t) + \sin(\pi t))$.
The amplitude of oscillation is

Kirchhoff’s junction rule is based on conservation of

An alternating current having peak value 14.14 A is used to heat a metal wire. The value of the direct current $i$ required to produce the same heating effect in the same wire is

When two different liquids of same mass but at two different temperatures $27^\circ C$ and $47^\circ C$ are mixed together, the resulting temperature of the mixture is $35^\circ C$. The ratio of their specific heat capacities is

When two spheres of radii $r$ and $\frac{r}{2}$ are brought in contact, the gravitational force of attraction between them is proportional to

A particle moves under the influence of a force in the XY-plane such that the components of its linear momentum $\vec{p}$ at any time $t$ are given by $p_x = p \sin t$ and $p_y = p \cos t$. The angle between $\vec{F}$ and $\vec{p}$ at that time is

The correct electronic configuration of Uranium (Z=92) is

When $n$ identical cells are connected in parallel, they give

Two perfectly black bodies are at temperatures $ T $ and $ 2T $. The ratio between the wavelengths corresponding to maximum energy emission by the two black bodies is

The energy stored in a soap bubble of diameter 4 cm is nearly (surface tension of soap solution is 0.07 N/m)

The following results were obtained in the gas phase reaction between nitric oxide and oxygen at a given temperature.