List of top Questions asked in KEAM

Match the following and choose the correct combination from the options given

The torque of a force$\overrightarrow{F} = 2\hat{i} - 3\hat{j} +5\hat{k}$ acting at a point whose position vector $\overrightarrow{r} = 3\hat{i} - 3\hat{j} + 5\hat{k}$about the origin is

The wavelength (in cm) of second line in the Lyman series of hydrogen atomic spectrum is (Rydberg constant = R cm$^{-1}$)

In an inelastic collision

The vibrations of a string of length $60\, cm$ fixed at both the ends are represented by the equation $y=2 sin \left(\frac{4\pi x}{15}\right) cos \left(96\pi t\right)$ where $x$ and $y$ are in cm. The maximum number of loops that can be formed in it is

Match Column I with Column II and choose the correct option.

Match Column I with Column II and Column HI. Choose the correct option.

Which of the following stages of aerobic respiration takes place in the matrix of the mitochondrion? I $\quad$Oxidative decarboxylation of pyruvic acid II $\quad$Glycolysis III$\quad$ Krebs cycle IV$\quad$ Oxidative phosphorylation

Which one of the following is correct explanation for the floral formula $\quad\quad\% \Theta K_{\left(5\right)} C_{1+2+\left(2\right)}A_{\left(9\right)+1 }G_{1}$

Which one of the following reaction provides a primary alcohol?

Which of the following compounds are optically active? (i) 3-hydroxypentane$\quad$$\quad$ (ii) 2-aminopropanoic acid (iii) 2-chlorobutane $\quad$$\quad$(iv) 2-methylbutane Choose your answer from the codes given below

Which of the following activates JG cells to release renin?

The group 13 element that is liquid during summer and used for measuring high temperature is

Select the correct sequence of steps in DNA fingerprinting involving southern blot hybridization using radiolabelled VNTR as a probe. I. $\quad$Hybridization using labelled VNTR probe. II. $\quad$Isolation of DNA. III. $\quad$Transferring (blotting) of separated DNA fragments to synthetic $\quad$$\quad$membranes, such as nitrocellulose or nylon. IV.$\quad$ Detection of hybridized DNA fragments by autoradiography. V. $\quad$Separation of DNA fragments by electrophoresis. VI. $\quad$Digestion of DNA by restriction endonucleases.

Pick out the wrong statement

The heart is pumping blood at x kg per unit time, with a constant velocity v. The force required is

A travelling harmonic wave on a string is described by $y$ = 7.5 sin (0.005$x$ + 12$t$) in metre. Its time period in second is

A carpet of mass $m$ made of inextensible material is rolled along its length in the form of a cylinder of radius $r$ and kept on a rough floor. The decrease in the potential energy of the system, when the carpet is unrolled to a radius $\frac{r}{2}$ without sliding is $(g=$ acceleration due to gravity)

If $p :$ The earth is round, $q : 3 + 4 = 7 $ then $\left(\sim p\right)\vee\left(\sim q\right)$ is

If $\frac{\sin x}{\cos x} \times \frac{\sec x}{\operatorname{cosec} x} \times \frac{\tan x}{\cot x}=9, $ where $x \in\left(0, \frac{\pi}{2}\right)$, then the value of $x$ is equal to

The element with positive electron gain enthalpy is

One mole of propanone and one mole of formaldehyde are the products of ozonolysis of one mole of an alkene. The alkene may be

$\int\frac{1+log\,x}{\left(1+x\,log\,x\right)^{2}}dx$ is equal to

The electric potential V at any point $(x, y, z)$ in space is given by $V = 3x^{2}$ where $x, y, z$ are all in metre. The electric field at the point (1 m, 0, 2 m) is

The radius of gyration of a solid cylinder of mass $M$ and radius $R$ about its own axis is