List of practice Questions

Let T > 0 be a fixed real number. Suppose, f is a continuous function such that for all $x \in R. f(x+T)=f(x). \, If \, I = \int_0^T f(x)dx$ then the value of $\int_3^{3+3T} f(2x)dx$

The sum $\displaystyle \sum_{i-0}^{m} \binom{10}{i} \binom{20}{m-i},$ where $ \binom{p}{q}=0 \, if \, p>q,$ is maximum when m is equal to

The area (in sq units) bounded by the curves $y=|x|-1$ and $y=-|x|+1$ is

Which of the following is not a drying and dehydrating agent?

The light reflected by a plane mirror may form a real image

The molecular mass of $ KMn{{O}_{4}} $ is M. The equivalent weight of $ KMn{{O}_{4}} $ , when it is converted into $ KMn{{O}_{4}} $ is:

The set of all real numbers x for which $x^2-|x+2|+x>0$ is

Which of the following has the highest dipole moment?

When $KMnO_4 $acts as an oxidising agent and ultimately forms $MnO^{2-}_4, MnO_2, Mn_2O_3 \, and \, Mn^{2+}$. Then the number of electrons transferred in each case respectively

If in a circular coil $A$ of radius $R,$ current $i$ is flowing and in another coil $B$ of radius $2 R$ a current $2 i$ is flowing, then the ratio of the magnetic fields, $B_{A}$ and $B_{B}$ produced by them will be :

The inductance between A and D is :

The magnetic field lines due to a bar magnet are correctly shown in

If $a > 0$ and discriminant of $ax^2 + 2bx +c $ is -ve then $\begin{vmatrix}a&b&ax+b\\ b &c&bx+c\\ ax+b &bx+c&0\end{vmatrix} $ is equal to

The domain of $\sin^{-1}\left[\log_3\left(\frac{x}{3}\right)\right]$ is

Term ecosystem was given by

Teflon is a polymer of

Manipulation of DNA in genetic engineering became possible due to the discovery of :-

A 100 W bulb $B_1$ and two 60 W bulbs $B_2 \, and\, B_3$, are connected to a 250 V source, as shown in the figure. Now $W_1, W_2 \, and \, W_3$ are the output powers of the bulbs $B_1, B_2$ and $B_3$ respectively. Then,

If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter :

The resistivity of metal increases with increase in temperature because:

The normality of mixture obtained by mixing $100\, mL$ of $0.2\, M H _{2} SO _{4}$ and $200\, mL$ of $0.2 \,M\,HCl$ is :

A small block is connected to one end of a massless spring of unstretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t = 0. It then executes simple harmonic motion with angular frequency to = $\frac{\pi }{3}$ rad/s. Simultaneously at t = 0, a small pebble is projected with speed v from point P at an angle of 45$^{\circ}$ as shown in the figure. Point P is at a horizontal distance of 10 m from O. If the pebble hits the block at / = 1 s, the value of v is $ (take \, \, g = 10 m /s_2 $

When a graph is plotted between log K and $ \left( \frac{1}{T} \right), $ the slope of line obtained represents: (K = rate constant, T = temperature)

Consider the chemical reaction, $N_2(g)+3H_2(g)\rightarrow 2NH_3(g)$ .The rate of this reaction can be expressed in terms of time derivatives of concentration of $N_2(g), H_2(g) or NH_3(g)$. Identify the correct relationship amongst the rate expressions