List of top Questions asked in COMEDK UGET

If $a= 5, b = 13 , c = 12$ in $\Delta ABC$, then $\tan \frac{B}{4}$ is

If $y = \tan^{-1} ( \sec x - \tan x) $, then $ \frac{dy}{dx} = $

The value of $[ \vec{a} - \vec{b} \,\,\,\,\,\, \vec{b} - \vec{c} \,\,\,\,\,\, \vec{c} - \vec{a} ]$ where $|\vec{a}| = 1 , |\vec{b} | = 5 , |\vec{c}| = 3 $

If $\sqrt{1-x^{2} } + \sqrt{1- y^{2}} =x -y $, then $\frac{dy}{dx} = $

The function $f(x) = \begin{cases} x^2 & \quad \text{for } x < 1\\ 2 - x & \quad \text{for } x \geq 1 \end{cases}$ is

0.3 g of an acid is neutralised by 40 $cm^3$ of 0.125 N NaOH. Equivalent mass of the acid is

Which one of the following is not ferromagnetic?

Oxygen molecule is

A process is spontaneous at a given temperature if

Fog is a colloid consisting of

5 g of $CaCO_3$ completely reacts with

Coordination number of caesium in caesium chloride is

Bakelite is manufactured by using a mixture of

An example for a face centred cubic lattice is

Which one of the following is a homogeneous catalysis?

A spring balance carries a load. When the load is pulled aside so that the balance makes an angle of $30^{\circ}$ with the vertical, the balance reads $4 \, kg\, wt$. The mass of the load is

A bulb is kept at a depth h inside water of refractive index $' n' $. Area of the bright patch on the water surface is

The normal atmospheric pressure can support water column of height L which is, (given density of mercury = $13600\, kg\, m^{-3}$)

If the diameter of a capillary tube is doubled, the rate of flow ofliquid increases

The ratio of forces between two point charges in the two cases when their separation is halved and when it is doubled, is

To increase the angular width of interference fringes

A charge $Q$ is to be divided into two parts, $q$ and $(Q- q)$, such that force between them is maximum. Then

In Young's double slit experiment, intensity at a bright fringe is $I_0$. One of the slits is closed. Intensity at the same position is

In an interference experiment, when a glass plate of refractive index 1.5 is introduced in the path of one of the beams; fringes are displaced by $x$. When the glass plate is replaced by another transparent plate of same thickness, shift in the fringe is $ \frac{3}{2} x .$ Refractive index of $2^{nd}$ transparent plate is

An object radiates at temperature $127^{\circ} C$. Temperature. at which radiates 16 times more is