List of practice Questions

In n-type semiconductors, majority charge carriers are

Kidney of adult reptiles are

An animal, which is diploblastic and radially symmertrical is:

In sponges, circulation of waler in flagellated chamber is facilitated by:

Two identical circular loops of metal wire are lying on a table without touching each other. Loop A carries a current which increases with time. In response, the loop B

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K. is

The oxidation number of sulphur in $S_8 , S_2F_2, H_2S$ respectively, are

The normality of 0.3 M phosphorus acid $(H_3PO_3)$ is

The coordination number of metal crystallising in a hexagonal close packing is

Let $PQR$ be a right angled isosceles triangle, right angled at $P (2,1)$. If the equation of the line $QR$ is $2x + y = 3$, then the equation representing the pair of lines PQ and PR is

Ionic radii of

For a positive integer n let $a (n) = 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + ...+ \frac{1}{(2^n)-1},$ then

The harmonic mean of the roots of the equation $ (5+\sqrt 2)\, x^2 - (4+\sqrt 5)\, x + 8 + 2\sqrt5 = 0 $ is

For a positive integer n, let $f_n(\theta)=\Bigg(tan\frac{\theta}{2}\Bigg)(1+sec \theta)(1+sec 2\theta)(1+ sec 2^2 \theta)... (1+sec 2^n \theta), then$

Let $a_1,a_2,...,a_{10}$ be in AP and $h_1, h_2$ equal to .....,$h_{10}$ be in HP. If $a_1 = h_1 = 2$ and $ a_{10} = h_{10} = 3,$ then $a_4 h_7$ is

If in the expansion of $(1 + x)^m (1 - x)^n$, the coefficients of $x$ and $x^2$ are 3 and - 6 respectively, then m is euqal to

$ lim_{ n \to \infty} \frac{1}{n} \displaystyle \sum_{r = 1}^ {2n} \frac{r}{ \sqrt{ n^2 + r^2}} $ equals

Let $ S_1, S_2,...$ be squares such that for each $ n \ge 1 $ the length of a side of $ S_n $ equals the length of a diagonal of $ S_{n+1}$. If the length of a side of $ S_1 $ is 10 cm, then for which of the following values of n is the area of $S_n$ less than 1 sq cm?

If two distinct chords, drawn from the point (p, q) on the circle $x^2 + y^2 = px + qy$ (where, $ pq \ne 0$) are bisected by the X-axis, then

$\displaystyle\int_{\pi/4}^{3\pi/4}\frac{dx}{1+\cos\,x}$ is equal to

If the kinetic energy of one mole of an ideal gas is given as $ E=\frac{3}{2}RT $ (where 7? is the universal gas constant and T is the absolute temperature of the gas), the molar specific heat at constant pressure will be given as

Which one of the following statement is true?

A Carnot engine working between 300 K and 600 K has a work output of 800 joules per cycle. The amount of heat energy supplied from the source to the engine in each cycle is

A body is moved along a straight line by a machine which delivers constant power. The distance moved by the body in time $ t $ is proportional to

If the speed of light [c], acceleration due to gravity [g] and pressure [P] are taken as the fundamental quantities, then the dimension of gravitational constant is