List of top Questions asked in KCET- 2007

A shell of mass $20\,kg$ at rest explodes into two fragments whose masses are in the ratio $2 : 3$. The smaller fragment moves with a velocity of $6 \,m/s$. The kinetic energy of the larger fragment is

If $\frac {x^2}{36}-\frac{y^2} {k^2} = 1$ is a hyperbola, then which of the following statements can be true ?

If a and b are vectors such that $|a+b|=|a-b|$ then the angle between a and b is

In Raman effect, Stoke's lines are spectral lines having

Angle strain in cyclopropane is

The value of the integral $\int\limits_0^{\pi/2}$($Sin^{100} x-Cos^{100}x)dx$ is

The equation to two circles which touch the Y-axis at $(0, 3)$ and make an intercept of $8$ units on X-axis are

If $3x + y + k = 0$ is a tangent to the circle $x^2+y^2=10$ the values of k are,

If $sin \, 3 \,\theta\, = \, Sin \, \theta$ , how many solutions exist such that $-2 \pi

The product formed when hydroxylamine condenses with a carbonyl compound is called

In the ionic equation : $BiO _{3}^{-}+6 H ^{+}+ Xe ^{-} \longrightarrow Bi ^{3+}+3 H _{2} O$ the value of $X$ is -

The principle of $LASER$ action involves

Light from two coherent sources of the same amplitude $A$ and wavelength $\lambda$ illuminates the screen. The intensity of the central maximum is $I_0$. If the sources were incoherent, the intensity at the same point will be

If $\vec {a}= {2\hat{i}}+3\hat{j}-\hat k,\vec b = \hat i+2 \hat j-5 \hat k ,\vec{ c} =3 \hat i+ 5\hat j-\hat k,$ then a vector perpendicular to $\vec{a}$ and in the plane containing $\vec {b}$ and $\vec {c}$ is

OA and BO are two vectors of magnitudes 5 and 6 respectively. If $\angle B O A=60^{\circ}$, then $0 A \cdot O B$ is equal to

If $A = \begin{bmatrix} {1}&{-2} &{2}\\ {0}&{2}& {-3} \\ {3}&{-2}&{4}\\ \end{bmatrix} $,then $A . adj(A)$ is equal to

Acidified sodium fusion extract on addition of ferric chloride solution gives blood red colouration which confirms the presence of

In acetylene molecule, between the carbon atoms there are

In the periodic table metals usually used as catalysts belong to

When conc. $H_2SO_4$ is heated with $P_2 O_5$, the acid is converted into

Hydroxyl ion concentration of $1M\, HCl$ is

Which one of the following is a second order reaction ?

A prism of a certain angle deviates the red and blue rays by $8^\circ$ and $12^\circ$ respectively. Another prism of the same angle deviates the red and blue rays by $10^\circ$ and $14^\circ$ respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratio

Gram molecular volume of oxygen at $STP$ is