List of practice Questions

The function $f(x) = \begin{cases} x^2 & \quad \text{for } x < 1\\ 2 - x & \quad \text{for } x \geq 1 \end{cases}$ is

0.3 g of an acid is neutralised by 40 $cm^3$ of 0.125 N NaOH. Equivalent mass of the acid is

An example for a face centred cubic lattice is

Coordination number of caesium in caesium chloride is

A process is spontaneous at a given temperature if

Which one of the following is a homogeneous catalysis?

$A, B$ and $C$ are three voltmeters of resistances $4000 \, \Omega , 6000 \Omega$ and $12000 \Omega$. When a potential difference? is applied between $X$ and $Y$, voltmeter readings are $V_A, V_B$ and $V_C$. Then

An object radiates at temperature $127^{\circ} C$. Temperature. at which radiates 16 times more is

In Young's double slit experiment, intensity at a bright fringe is $I_0$. One of the slits is closed. Intensity at the same position is

The vectors $\vec{a} = x \hat{i} + (x +1) \hat{j} + ( x +2 ) \hat{k} $ $\vec{b} = (x + 3) \hat{i} + (x +4) \hat{j} + ( x + 5 ) \hat{k} $ , and $\vec{c} = (x + 6) \hat{i} + (x + 7 ) \hat{j} + ( x + 8) \hat{k} $ are co-planar for

The value of $[ \vec{a} - \vec{b} \,\,\,\,\,\, \vec{b} - \vec{c} \,\,\,\,\,\, \vec{c} - \vec{a} ]$ where $|\vec{a}| = 1 , |\vec{b} | = 5 , |\vec{c}| = 3 $

The capacitance of the Earth considered as a conducting sphere of radius $6408 \, km$ is

The kinetic energy of the photoelectrons increases by $0.52 \, eV$ when the wavelength of incident light is changed from $500 \, nm$ to another wavelength which is approximately

The maximum value of $ f(x) = \frac{\log x}{x} , 0 < x < \infty$ is

Two points separated by a distance of 0.1 mm can just be observed using a microscope when light $\lambda = 600\: nm$ is used. If light of wavelength 480 nm is used, this limit of resolution becomes

The speed of electromagnetic radiation in vacuum

Bakelite is manufactured by using a mixture of

Oxygen molecule is

Fog is a colloid consisting of

A spring balance carries a load. When the load is pulled aside so that the balance makes an angle of $30^{\circ}$ with the vertical, the balance reads $4 \, kg\, wt$. The mass of the load is

Which one of the following is a matching pair of a body feature and the animal possessing it?

If $x^y = \log x$ , then $\frac{dy}{dx} $ at the point where the curve cuts the $x-axis$ is