List of practice Questions

The electron affinity of Be is almost similar to that of

By using the properties of definite integrals, evaluate the integral: \(∫_0^π log(1+cosx)dx\)

In the metal carbonyls of the general formula M(CO)x where M = metal x = 4, EAN rule is satisfied for atomic number of M equal to:

The circle $x^2+y^2+4x-7y+12=0$ cuts an intercept on $y$ -axis of length

The derivative of $se{c}^{-1} \left(\frac{1}{2x^2-1}\right)$ with respect to $\sqrt{1-x^2}$ at $x=\frac{1}{2}$ is:

The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is:

If A = {1, 2, 3, 4, 6} and R is a relation on A such that R = {(a, b) : a, b ∈ A and b is exactly divisible by a} then find the number of elements present in the range of R?

The number of terms of an $AP$ is even. The sum of the odd terms is $24$ and of the even terms is $30$. The last term exceeds the first by $10\frac{1}{2}$. Then the number of terms in the series is ______.

In a triangle ABC,AB=AC=8cm. A circle drawn with BC as diameter passes through A. Another circle drawn with center at A passes through B and C. Then the area,in sq.cm,of the overlapping region between the two circles is

A school has less than 5000 students and if the students are divided equally into teams of either 9 or 10 or 12 or 25 each, exactly 4 are always left out. However, if they are divided into teams of 11 each, no one is left out. The maximum number of teams of 12 each that can be formed out of the students in the school is

Phenol on reduction with H2 in the presence of Ni catalyst gives:

Which substance is produced when alcohol is added with petrol and used as a fuel?

The shapes of the compounds XeF2, XeF4, XeO3 and XeO4 respectively are:

The enthalpy of vaporisation of a substance is $8400J{mol}^{-1}$ and its boiling point is $-{173.15}^{\circ }C$. The entropy change for vaporisation is:

If the ionisation potential of the hydrogen atom is $13.6\mathrm{eV}$, then what will be the longest wavelength needed to remove an electron from the $1^{\text{st }}$ Bohr's orbit of ${\mathrm{He}}^{+}$ ion?

Captain Hagberd constantly hinted at something that made Bessie blush. What was it?

If |x + 1||x + 3| – 4|x + 2| + 5 = 0, then sum of squares of solutions is

Find \(x\) in the following figures.
  

In an electromagnetic wave, the magnitude of electric and magnetic fields are 100 V/m and 0.265 A/m. The maximum energy flow is

It is known from past experience that in a certain plant there are on the average $4$ industrial accidents per month. Find the probability that there will be less than $4$ accidents in a given month. Given: $({\mathrm{e}}^{-4}=0.0183)$

If the volume in $cm^3$ and surface area in $cm^2$ of a sphere are numerically equal. Then the radius of the sphere (in cm) is:

The dielectric constant of an insulator cannot be :

If $ ^{2n+3}C_{2n} - \,^{2n+2}C_{2n-1} = 15 \left(2n+1\right)$, then $n= $