List of top Questions asked in KCET

The equation of parabola whose focus is (6, 0) and directrix is x = –6 is
The family of curves whose x and y intercepts of a tangent at any point are respectively double the x and y coordinates of that point is
A ceiling fan is rotating around a fixed axle as shown. The direction of angular velocity is along _______.
Solubility product of CaC2O4 at a given temperature in pure water is 4×10-9 (mol L-1)2. Solubility of CaC2O4 at the same temperature is:
A uniform electric field E-3×105NC-1 is acting along the positive Y-axis. The electric flux through a rectangle of area 10cm × 30 cm whose plane is parallel to the Z-X plane is
A particle of mass 500 g is at rest. It is free to move along a straight line. The power delivered to the particle varies with time according to the following graph :
The momentum of the particle at t=5s is
In the expansion of $\frac{C_1}{C_0} + 2\frac{C_2}{C_1} +3\frac{C_3}{C_2}+…………… n \frac{C_{n}}{C_{n-1}}$ is equal to
A point charge A of +10µC and another point charge B of +20µC are kept Im apart in free space. The electrostatic force on A due to B is \(\overrightarrow{F_1}\), and the electrostatic force on B due to A is \(\overrightarrow{F_2}\). Then
A body has a charge of -3.2μC . The number of excess electrons it has is
8.8 g of monohydric alcohol added to ethyl magnesium iodide in ether liberates 2240 cm3 of ethane at STP. This monohydric alcohol when oxidised using pyridinium-chlorochromate, forms a carbonyl compound that answers silver mirror test (Tollens’ test). The monohydric alcohol is :
An electric blub of 60 W, 120 V is to be connected to 220 V source. What resistance should be connected in series with the bulb, so that the bulb glows properly?
A cube of side 1 cm contains 100 molecules each having an induced dipole moment of 0.2×10-6C-m in an external electric field of 4NC-1. The electric susceptibility of the materials is_____ C2N-1m-2
If the angle of minimum deviation is equal to angle of a prism for an equilateral prism, then the speed of light inside the prism is _____
An athlete runs along a circular track of diameter 80m. The distance travelled and the magnitude of displacement of the athlete when he covers \(\frac{3^{th}}{4}\) of the circle is ( in m)
The total electric flux through a closed spherical surface of radius ‘r’ enclosing an electric dipole of dipole moment 2aq is (Give ε0 = permittivity of free space)
Dimensional formula for activity of a radioactive substance is
A current of 3 A is passed through a molten calcium salt for 1 hr 47 min 13 sec. The mass of calcium deposited is : (Molar mass of 1 Ca=40gmol-1)
If $[x]^2 - 5[x] + 6 = 0, $where [x] denotes the greatest integer function, then
Under electrostatic condition of a charged conductor, which among the following statements is true?
An equiconvex lens of radius of curvature 14 cm is made up of two different materials. Left half and right half of vertical portion is made up of material of refractive index 1.5 and 1.2 respectively as shown in the figure. If a point object is placed at a distance of 40 cm , calculate the image distance.
An equiconvex lens of radius of curvature
Among the given pair of vectors, the resultant of two vectors can never be 3 units. The vectors are
The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval 0 ≤ t ≤ 20s is
The electric current flowing through a given conductor
The I-V graph for a conductor at two different temperatures 100°C and 400°C is as shown in the figure. The temperature coefficient of resistance of the conductor is about (in per degree Celsius)
The I-V graph for a conductor at two different temp. 100°C and 400°C
A motor-cyclist moving towards a huge cliff with a speed of 18 kmh-1, blows a horn of source frequency 325 Hz. If the speed of the sound in air is 330 ms-1, the number of beats heard by him is
The value of $ ^{49}C_3 ^{48}C_3 ^{47}C_3 ^{46}C_3 ^{45}C_3 ^{45}C_4 $ is