List of practice Questions

A beam of electrons is moving with constant velocity in a region having electric and magnetic fields of strength $20 \, Vm^{-1} $ and 0.5 T at right angles to the direction of motion of the electrons. What is the velocity of the electrons?

The more positive the value of $E^{\circ}$, the greater is the tendency of the species to get reduced. Using the. standard electrode potential of redox couples given below find out which of the following is the strongest oxidising agent. $E^{\circ}$ values : $Fe^{3+}/Fe^{2+} = + 0.77; I_{2\left(s\right)}/I^- = + 0.54$; $Cu^{2+}/Cu = + 0.34$; $Ag^{+}/Ag = + 0.80\, V$

A positively charged particle is released from rest in a uniform electric field. The electric potential energy of the charge

A satellite is revolving round the earth with orbital speed $v_0$. If it stops suddenly, the speed with which it will strike the surface of earth would be ($v_e= $ escape velocity of a body on earth's surface)

During osmosis, water moves through a membrane

If the sums of n terms of two arithmetic series are in the ratio 2n + 3 : 6n + 5, then the ratio between their 13^th terms is

The solubility product of silver chromate is $4 \times 10^{-12}$. The molar solubility of the salt is

The line passing through the points \((2,1,0) , (5,0,1)\) and \( (4,1,1)\) intersects the \(x-\)axis at

During osmosis,flow of water through a semipermeable membrane is

The equations of the lines through the point (3, 2) which make an angle of 45^o with the line x - 2y = 3 are

The signum function, $f$ : $R \to R$ is given by $f(x) = \begin{cases} 1, & \text{if } x > 0 \\ 0, & \text{if } x=0 \\ -1, & \text{if } x < 0 \end{cases} $ is

The molarity of 98% $H_2SO_4$ (d = 1.8 g/mL) by weight is

Which one of the following statements is correct ? The power set of the null set is

The modulus of the complex number $z=\frac{\left(1-i\sqrt{3}\right)\left(cos\,\theta+i\, sin\,\theta\right)}{2\left(1-i\right)\left(cos\,\theta-i\, sin\,\theta\right)}$ is

A polarizer and an analyzer are oriented so that the maximum amount of lights is transmitted. Fraction of its maximum value is the intensity of the transmitted light reduced when the analyzer is rotated through (intensity of incident light = $I_0$) a) 30$^\circ$ b)45$^\circ$ c)60$^\circ$

The second heart sound (dubb) is associated with the closure of

The value of ${\cot }^{-1}9+\cos e{c}^{-1}\frac{\sqrt{41}}{4}$

The angle between the straight lines $x-y\sqrt{3}=5$ and $\sqrt{3}x+y=7$ is

Dissociation constants of $CH_3COOH$ and $NH_4OH$ in aqueous solution are $10^{-5}$. If $pH$ of a $CH_3COOH$ solution is $3$, What will be the $pH$ of $NH_4OH$?

$C - C$ bond order in benzene is

Electrolytic decarboxylation of sodium propionate produces

The mode of the following series $ 3, 4, 2, 1, 7, 6, 7, 6, 8, 6, 5$ is

${\int }_0^{\pi /2}\frac{\sqrt{\cot x}}{\sqrt{\cot x}+\sqrt{\tan x}}$dx is equal to

During electrolysis of a solution of $AgNO_3$, $9650$ coulombs of charge is passed through the solution. What will be the mass of silver deposited on the cathode?