List of top Questions asked in KCET

n^th term of the series
\(1+\frac{3}{7}+\frac{5}{7^2}+\frac{1}{7^2}+...\) is

Four students were assigned a science project to find out the pollution levels of lakes in their surrounding. After analysing the quality of water samples, the BOD values were found as follows :
Which among the following water samples is highly polluted ?

A positively charged particle of mass m is passed through a velocity selector. It moves horizontally rightward without deviation along the line y = \(\frac{2mv}{qB}\) with a speed v. The electric field is vertically downwards and magnetic field is into the plane of the paper. Now, the electric field is switched off at t = 0. The angular momentum of the charged particle about origin O at t = \(\frac{\pi m}{qB}\) is

An unpolarised light of intensity I is passed through two polaroids kept one after the other with their planes parallel to each other. The intensity of light emerging from second polaroid is \(\frac{I}{4}\). The angle between the pass axes of the polaroids is

Consider the following statements with reference to female reproductive system :
Statement 1 : The presence or absence of hymen is not a reliable indicator of virginity or sexual experience.
Statement 2 : The sex of the foetus is determined by the father not by the mother.
Choose the correct option from the following :

A parallel plate capacitor of capacitance C₁ with a dielectric slab in between its plates is connected to a battery. It has a potential difference V₁ across its plates. When the dielectric slab is removed, keeping the capacitor connected to the battery, the new capacitance and potential difference are C₂ and V₂ respectively. Then,

For a reaction, the value of rate constant at 300 K is 6.0 ×10⁵ s^-1. The value of Arrhenius factor A at infinitely high temperature is :

In the Young’s double slit experiment, the intensity of light passing through each of the two double slits is 2 × 10^-2 Wm^-2. The screen-slit distance is very large in comparison with slit-slit distance. The fringe width is β. The distance between the central maximum and a point P on the screen is \(\frac{\beta}{3}\). Then the total light intensity at that point is

If A and B are events such that P(A)=\(\frac{1}{4}\), P(A/B)=\(\frac{1}{2}\) and P(B/A)=\(\frac{2}{3}\) then P(B) is

Ten chairs are numbered as 1 to 10. Three women and two men wish to occupy one chair each. First the women choose the chairs marked 1 to 6, then the men choose the chairs from the remaining. The number of possible ways is

The reducing agent in the given equations :
\(4\ Ag_{(s)}+8\ CN_{(aq)}^-+2H_2O_{(aq)}+O_{2_{(g)}}\rightarrow4[Ag(CN)_2]_{(aq)}^-+4\ OH_{(aq)}^-\)
\(2[Ag(CN)_2]_{(aq)}^-+Zn_{(s)}\rightarrow[Zn(CN)_4]_{(aq)}^{2-}+2Ag_{(s)}\)

In an experiment to study photo-electric effect the observed variation of stopping potential with frequency of incident radiation is as shown in the figure. The slope and y-intercept are respectively

Match the column-I with column-II and choose the correct option from the following :

Column-I (Plant groups)		Column-II (Examples)
1.	Bryophyta	p.	Pinus
2.	Gymnosperm	q.	Adiantum
3.	Algae	r.	Sphagnum
4.	Pteridophyta	s.	Ectocarpus

In a population of 800 rabbits showing Hardy-Weinberg equilibrium, the frequency of recessive individuals was 0.16. What is the frequency of heterozygous individuals?

A moving coil galvanometer is converted into an ammeter of range 0 to 5mA. The galvanometer resistance is 90Ω and the shunt resistance has a value of 10Ω. If there are 50 divisions in the galvanometer-turnedammeter on either sides of zero, its current sensitivity is

A metal crystallises in a body centered cubic lattice with the metallic radius \(\sqrt3 Å\). The volume of the unit cell in m³ is

Electric field at a distance ‘r’ from an infinitely long uniformly charged straight conductor, having linear charge density λ is E₁. Another uniformly charged conductor having same linear charge density λ is bent into a semicircle of radius ‘r’. The electric field at its centre is E₂ . Then

The four bands of a colour coded resistor are of the colours gray, red, gold and gold. The value of the resistance of the resistor is

The correct order of match between column X and Column Y is :

X		Y
I.	Vitamin A	i.	Muscular weakness
II.	Vitamin D	ii.	Increased blood clotting time
III.	Vitamin E	iii.	Night-blindness
IV.	Vitamin K	iv.	Osteomalacia

Match the List-I with List-II in the following :

List-I		List-II
1.	Caprolactum	(a)
2.	Vinyl chloride	(b)
3.	Styrene	(c)
4.	Propene	(d)

Which of the following monomers form biodegradable polymers ?

Receptors are proteins and crucial to body communication process. These receptors are embedded in

Which one of the following is a non-narcotic analgesic ?