List of practice Questions

If $Log_{10}7=0.8451$ then the position of the first significant figure of $7^{-20}$ is
A unit vector perpendicular to both the vectors $\hat {i} +\hat { j} $ and $ \hat {j} +\hat {k}$ is
Hydrogen atom does not emit $X-rays$ because
If $\vec{a} $ and $\vec{b}$ are unit vectors and $|\vec{a} + \vec{b}|=1$ then $|\vec{a} -\vec{b}|$ is equal to
When $AgNO _{3}$ solution is added in excess to $1\, M$ solution of $CoCl _{3} \cdot x NH _{3}$, one mole of $AgCl$ is formed. What is the value of $x$ ?
Two point charges are $3\, m$ apart and their combined charge is $8 \mu C$. The force of repulsion between them is $0.012\, N$. Charges are
A person inside water $n_w = \frac{4}{3} $ sees the 'setting sun' at about
Buffer capacity of a buffer will be maximum when
Dissociation constant of a weak acid is $10^{-5}$. The pH of 0.1 M solution of this acid is
Energy of a charged capacitor is $E$. It is allowed to share its charge with an identical capacitor charged to half its potential. Loss in the energy of the system is
Formation of Eddy currents has desirable effects in 1. Electromagnetic damping, 2. Transformer 3. Inductothermy
If a set $A$ has $n$ elements, then the number of relations on $A$ is
If $\vec{a} = \hat{i} + \lambda \hat{j} + 2 \hat{k}$ and $\vec{b} = \mu \hat{i} + \lambda \hat{j} + 2 \hat{k}$ are orthogonal and if $|\vec{a} | = |\vec{b}|$, then $(\lambda, \mu)$ =
If $\vec{a} , \vec{b} ,\vec{c}$ are unit vectors and $\theta$ is the angle between them, then $| \vec{a} - \vec{b}| = $
$\lim_{x\to0} \frac{\tan x -\sin x}{x^{3}} = $
If $y =\left(1+x\right)\left(1+x^{2}\right) ....\left(1+x^{100}\right),$ then $\frac{dx}{dy} $ at $x = 0$ is
If $\int \frac{1}{x+x^{5}}dx =f\left(x\right)+c , $ then $\int \frac{x^{4}}{x+x^{5}} dx = $
The acute angle between the hour hand and minute hand of a clock when the time is $5\, hours$ and $40\, minute$ is
Which one of the following forms an alcohol with nitrous acid?
Which one of the following forms a green solid with nitrous acid?
In an interference experiment two parallel vertical slits $S_1$ and $S_2$ are used. A thin glass plate is introduced in the path of light from $S_1$. Then
Which one of the following has maximum magnetic moment?
Nitrogen is obtained by heating
The Ostwald's dilution law is obeyed by
A slab consists of two plates of different materials of same thickness and having thermal conductivities $K_1$ and $K_2$. The equivalent thermal conductivity of the slab is