List of practice Questions

The half-life of radium is $1620\, yr$ and its atomic weight is $226\, kg$ per kilomol. The number of atoms that will decay from its $1\, g$ sample per second will be (Avogadro's number $N=6.023 \times 10^{23}$ atoms/ $mol$ )

$20 \,A$ current is flowing in a long straight wire. The intensity of magnetic field at a distance of $10\, cm$ from the wire, will be

An electron having charge $1.6 \times 10^{-19} C$ and mass $9 \times 10^{-31} kg$ is moving with $4 \times 10^{6} m / s$ speed in a magnetic field of $2 \times 10^{-1} T$ in a circular orbit. The force acting on an electron and the radius of circular orbit will be

Deuteron and alpha particle in air are at separation $1\,?$ The magnitude of electric field intensity on $\alpha$-particle due to deuteron is

If $E_{1}$ be the electric field strength of a short dipole at a point on its axial line and $E_{2}$ that on the equatorial line at the same distance, then

In a simple microscope, if the final image is located at $25\, cm$ from the eye placed close to the lens, then the magnifying power is

If three natural numbers from $1$ to $100$ are selected randomly then probability that all are divisible by both $2$ and $3$, is

Hybridoma technology has been successfully used in :

Devices for self-pollination are :

Inner lining of stomach and intestine is formed of:

Intercalary meristem occurs in :

The bladders of Utricularia and pitchers of Nepenthes are modification of :

Vascular cambium of stem is :

Phylloclades are :

What is true about fluid mosaic model?

Which of the following is a correct statement?

Which is a component of chlorophyll?

Which is not properly paired?

Area of triangle formed by the lines $ x + y = 3$ and angle bisectors of the pair of straight lines $x^2 - y^2 + 2y = 1$ is

If the line $2x+\sqrt6y=2$ touches the hyperbola $x^2-2y^2=4$, then the point of contact is

If f(x) is differentiable and $\int_0^{t^2}x f(x) dx =\frac{2}{5}t^5,$ then $f\bigg(\frac{4}{25}\bigg)$ equals

The sides of a triangle are in the ratio $ 1 : \sqrt 3 : 2 $, then the angles of the triangle are in the ratio

Given both $\theta and \phi are acute angles and sin \theta=\frac{1}{2}, cos \phi=\frac{1}{3},$ then the value of $\theta+\phi $ belongs to

If $^{n-1}C_r =(k^2 -3) \, ^nC_{r+1}$then k belongs to

If one of the diameters of the circle $x^2 + y^2 - 2x - 6y + 6 = 0$ is a chord to the circle with centre (2,1), then the radius of the circle is