List of top Questions asked in KEAM

The reaction of propene with $HBr$ in peroxide proceeds through the intermediate

In alkaline medium $ Cl{{O}_{2}} $ oxidizes $ {{H}_{2}}{{O}_{2}} $ to $ {{O}_{2}} $ and itself gets reduced to $ C{{l}^{-}} $ . How many moles of $ H_20_2 $ are oxidized by 1 mole of $ Cl{{O}_{2}} $ ?

Two planets have radii $r_1$ and $r_2$ and densities $d_1$ and $d_2$ respectively. Then the ratio of accelerations due to gravity on them is

The length of a rubber cord is $ {{l}_{1}} $ metre when the tension is $ 4\, N $ and $ {{l}_{2}} $ metre when the tension is $ 6\, N $ . The length when the tension is $9\,N$, is

For signal transmission, modulation is necessary

Consider the following antibiotics (i) Erythromycin (ii) Ofloxacin (iii) Chloramphenicol (iv) Penicillin (v) Tetracycline. The pair of bactericidal antibiotics is

Glucose does not react with

A pendulum of length 1 m is released from $\theta$ = 60$^{\circ}$. The rate of change of speed of the bob at $\theta$= 30$^{\circ}$ is $(g=10 \, ms^{-1})$

A solution of methanol in water is $20\%$ by volume. If the solution and pure methanol have densities of $0.964 \; kg \; L^{-1}$ and $0.793 \; kg \; L^{-1}$, respectively, find the percent of methanol by weight?

If $a_1, a_2 , a_3 , a_4$ are in A.P., then $\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\frac{1}{\sqrt{a_{3}}+\sqrt{a_{4}}}=$

If $ \alpha $ and $ \beta $ are the roots of the equation $ a{{x}^{2}}+ $ $ bx+c=0,\text{ }\alpha \beta =3 $ and $a, b, c$ are in $A.P.$, then $ \alpha +\beta $ is equal to

Plot of $ log\text{ }x/m $ against log $p$ is a straight line inclined at an angle of $ 45{}^\circ $ . When the pressure is $ 0.5 \,arm $ and Freundlich parameter. $ k $ is $ 10 $ , the amount of solute adsorbed per gram of adsorbent will be $ (log\text{ }5=0.6990) $

A weak monobasic acid is 1% ionized in 0.1 M solution at $ 25{}^\circ C $ . The percentage of ionisation in its 0.025 M solution is

In the complex with formula $MCl_3 \cdot 4H_2O,$ the coordination number of the metal M is six and there is no molecule of hydration in it. The volume, if 0.1 M $AgNO_3$ solution needed to precipitate the free chloride ions in 200 mL of 0.01 M solution of the complex, is

A metal M of equivalent mass E forms an oxide of molecular formula $M_x O_y$. The atomic mass of the metal is given by the correct equation

The value of $ \displaystyle\lim _{x \rightarrow 0} \frac{\cot 4 x}{\text{cosec} 3 x}$ is equal to

The period of the function $f\left(x\right)= cos 4x+$ tan $3x$ is

Two identical objects each of mass $50 \,kg$ are kept at a distance of separation of $50\, cm$ apart on a horizontal table. The net gravitational force at the mid-point of the line joining their centres is

$\int\left(\frac{x-a}{x}-\frac{x}{x+a}\right) dx$ is equal to

Which of the following gymnosperms is a bushy trailing shrub ?

When a same force of 5 N is applied to two balls A and B separately, they move along the direction of the force with a velocity of 5 ms and 10 ms respectively. The rate of work done on the ball A to that on B are in the ratio

Water flows through a horizontal pipe of diameter $2 \,cm$ at a speed of $3 \,cm \,s^{-1}$, The pipe has a nozzle of diameter $0.5 \,cm$ at its end. The speed of water emerging from the nozzle is

A cell divides every minute. At this rate of division it can fill a 100 ml. of beaker in one hour. How much time does it take to fill a 50 ml beaker ?

Certain amount of heat is given to 100 g of copper to increase its temperature by 21 $^{\circ}$C. if the same amount of heat is given to 50 g of water, then the rise in its temperature is (specific heat capacity of copper = 400 Jkg$^{-1} K^{-1}$ and that for water =4200Jkg$^{-1}ZK^{-1}$