List of practice Questions

Double convex lenses are to be manufactured from a glass of refractive index $1.55$, with both faces of same radius of curvature. What is the radius of curvature required if the focal length is to be $20\, cm$?

Dow's reaction involves

Dodo, passenger pigeon and Steller's sea cow became extinct in the last $500$ years due to

Domain of $cos^{-1}\, [x]$ is

Domestic cooking gas consists of mostly

Domestic waste mostly constitutes

Diuresis is the condition in which

$DNA$ cannot pass through a cell membrane as

$DNA$ is a polymer of nucleotides which are linked to each other by $3'-5'$ phosphodiester bond. To prevent polymerisation of nucleotides, which of the following modifications would you choose?

Distance between the center of two stars is 10a. the masses of these stars are m and 16M and their radii a and 2a respectively. A body of mass m is fired straight from the surface of the smller star towards the surface of the smaller star. What should be its minimum initial speed to reach the surface of the smaller star ?

Distance of distinct vision is 25 cm. The focal length of the convex lens is 5 cm. It can act as a magnifier of magnifying power:

Diuresis is a condition characterized by

$ \displaystyle\lim_{x \to \frac{\pi}{2}} \frac{1 - \sin \, x}{\cos \, x}$ is equal to

$\displaystyle\lim_{x\to \frac{\pi}{2}} \frac{\cos \, x}{ x - \frac{\pi}{2}}$ equals:

$\displaystyle\lim_{x \to \infty} \frac{ (2x -3)(3x -4)}{(4x - 5)(5x - 6)}$ is equal to:

$\displaystyle\lim_{x \to 0}\left[\frac{sin\left[x-3\right]}{\left[x-3\right]}\right]$, where [ . ] denotes greatest integer function is

$\displaystyle \lim_{x \to 1}$$\left[\left(\frac{4x}{x^{2}-x^{-1}}-\frac{1-3x+x^{2}}{1-x^{3}}\right)^{-1}+3\left(\frac{x^{4}-1}{x^{3}-x^{-1}}\right)\right]$ is

$\displaystyle \lim_{n \to \infty}$$\left(\frac{1}{n^{2}}+\frac{3}{n^{2}}+\frac{5}{n^{2}}+.....+\frac{2n+1}{n^{2}}\right)$ is equal to

$\displaystyle \lim_{x \to 0}$ $\frac{1-cos\,mx}{1-cos\,nx}=$

$\displaystyle \lim_{x \to 0}$ $\left(cos\,x+sin\,x\right)^{\frac{1}{x}}$ equals

Dispersive power of the material of a prism is 0.0221. If the deviation produced by it for yellow colour is 38, then the angular dispersion between red and violet colours is

Displacement time graph cannot be

$\displaystyle \lim_{h \to 0}$ $\frac{\left(a+h^{2}\right)sin\left(a+h\right)-a^{2}\,sin\,a}{h}=$