List of top Questions asked in KCET

The resistance of a wire at $300 \, K$ is found to be $0.3 \, \Omega$. If the temperature co-efficient of resistance of wire is $1.5 \times 10^{-3} K^{-1}$, the temperature at which the resistance becomes $0.6\, \Omega$ is

Three concurrent co-planar forces $1\,N, 2\,N$ and $3\,N$ acting along different directions on a body

In fog, photographs of the objects taken with infra-red radiations are more clear than those obtained during visible light because

The diagram of the section of a maize grain is given below. Identify the parts labelled A. B. C and D.

The moment of inertia of a circular ring of radius $'r'$ and mass $'M'$ about diameter is

A body of mass $'m'$ moving along a straight line covers half the distance with a speed of $2\, ms^{-1}$. The remaining half of the distance is covered in two equal time intervals with a speed of $3\, ms^{-1}$ and $5\, ms^{-1}$ respectively. The average speed of the particle for the entire journey is

Two solid pieces, one of steel and the other of aluminium when immersed completely in water have equal weights. When the solid pieces arc weighed in air

In ruby laser, the stimulated emission is due to transition from

If $A=\begin{bmatrix} {2}&{1} &{0}\\ {0}&{2}& {1} \\ {1}&{0}&{2}\\ \end{bmatrix}$ then $| adj A|$ =

If $\alpha$ and $\beta$ are the roots of $x^2 + x + 1 = 0$ then $\alpha^{16}+\beta^{16}$=

If one side of a triangle is double the other and the angles opposite to these sides differ by $60^\circ$, then the triangle is

In the group $G= \{0, 1,2, 3,4, 5\}$ under addition modulo $6,(2 +_6 3^{-1} +_6 4)^{-1}$=

A bivalent metal has an equivalent mass of $32$. The molecular mass of the metal nitrate is

The smallest positive integral value of $'n'$ such that $\left[\frac {1+\sin \frac {\pi}{8}+\,i\,\cos \frac {\pi}{8}}{1+\sin \frac {\pi}{8}-\,i\,\cos \frac {\pi}{8}} \right]^n$ is purely imaginary is, $n$ =

If$\vec{a}.\vec{b}\, = \,- |\vec{a}| \, |\vec{b}|$ then the angle between $\vec{a}$ and $ \vec{b}$ is

If $\begin{vmatrix} {1+\sin^2}&{\cos^2 \theta } &{4\sin 2\theta}\\ {\sin^2}&{1+\cos^2}& {4\sin2\theta} \\ {\sin^2\theta}&{\cos^2\theta}&{4\sin2\theta-1}\\ \end{vmatrix} =0 $ and $ 0< \theta

If the volume of the parallelopiped with $ \vec{a},\vec{b} $ and $ \vec{c}$ as coterminous edges is $40 \,cubic$ units, then the volume of the parallelopiped having $ \vec{b}+\vec{c} , \vec{c}+ \vec{a} $ and $ \vec{a}+ \vec{b}$ as coterminous edges in cubic units is

Among the following, the compound that contains ionic, covalent and coordinate linkage is

The enthalpy of formation of $NH_3$ is $- 4 6\, kJ \, mol^{-1}$. The enthalpy change for the reaction : $2 NH _{3}(g) \longrightarrow N _{2}(g)+3 H _{2}(g)$ is

The magnetic Lorentz force experienced by a charge q, entering a magnetic field B with a velocity v is

Which of the following prevents the conversion of prothrombin to thrombin in an undamaged blood vessel ?

The foot of the perpendicular from the point $(2, 4)$ upon $x + y = 4$ is

The r.m.s. velocity of molecules of a gas of density $4 \,kg \,m^{-3}$ and pressure $1.2 \times10^{5} Nm^{-2}$ is

Two sources are said to be coherent if they produce waves

$30\, cc$ of $\frac {M}{3}\, HCl, 20\, cc$ of $\frac {M}{N} HNO_3$ and $40\, cc$ of $\frac {M}{4}$ $NaOH$ solutions are mixed and the volume was made up to $1\, dm^3$. The $pH$ of the resulting solution is