List of top Questions asked in KEAM

A $ 2\mu C $ charge moving around a circle with a frequency of $ 6.25\times {{10}^{12}}Hz $ produces a magnetic field $6.28\, T$ at the centre of the circle. The radius of the circle is

A galvanometer can be converted into an ammeter by connecting

The area of the triangle formed by the points $(2, 2), (5, 5), (6, 7)$ is equal to (in square units)

If $ x $ satisfies the in equations $ 2x-7<11 $, $ 3x+4

Choose the wrong statement.

A particle of mass $m$ and charge $q$ with an initial velocity $v$ is subjected to a uniform magnetic field $B$ along the vertical direction. The particle will

In a reaction, $2A \rightarrow$ products the concentration of A decreases from $0.50 \,M$ to $0.38 \,M$ in $10 \,min$. What is the rate of the reaction (in $Ms^{-1}$) during this interval?

Three numbers $x, y$ and $z $ are in arithmetic progression. If $x + y + z = - 3$ and $xyz= 8$, then $x^2 + y^2 + z^2$ is equal to

The coefficient of $ {{a}^{5}}{{b}^{6}}{{c}^{7}} $ in the expansion of $ {{(bc+ca+ab)}^{9}} $ is

A bullet fired into a fixed wooden block loses half of its velocity after penetrating $40\,cm$. It comes to rest after penetrating a further distance of

When a ceiling fan is switched off, its angular velocity reduces to half its initial value after it completes 36 rotations. The number of rotations it will make further before coming to rest is (Assuming angular retardation to be uniform)

Chronic chloroform exposure may cause damage to liver and kidney, due to the formation of

$Al_2(SO_4)_3$ is used in the following but not

Consider the following statements concerning $N_2H_4$ 1. It is an exothermic compound 2. It burns in air with the evolution of heat 3. It has kinetic stability 4. In reduces $Fe^{3+}$ to $Fe^{2+}$ in acidic medium Which of the following combination is correct?

If $a + 1, 2a + 1, 4a - 1$ are in arithmetic progression, then the value of $a$ is

The area of the circle $x^2 - 2x + y^2 - 10\,y + k = 0$ is $25 \pi $ . The value of k is equal to

In a first order reaction 80% of the reactant at an instant was reduced to 8% in 4606 seconds. The rate constant of the reaction is

If $ |x|<1, $ then the coefficient of $ {{x}^{6}} $ in the expansion of $ {{(1+x+{{x}^{2}})}^{-3}} $ is

The area bounded by the curves $y = - x^2 + 3$ and $y = 0$ is

In the adsorption of a gas on solid, Freundlich isotherm is obeyed. The slope of the plot is zero. Thus, the extent of adsorption is