List of practice Questions

The crystal structure can be studied by using

Two springs of spring constants $k_{1}$ and $k_{2}$ are joined in series and a mass $m$ is attached to them as shown in figure. The time-period of oscillations of the springs is

A body is projected horizontally with a velocity of $u$ $ m/s$ at an angle $ \beta $ with the horizontal. The kinetic energy at the highest point is $( \frac{ 3}{ 4} )^{th}$ of the initial kinetic energy. The value of $ \beta $ is

In a common emitter configuration, a transistor has $\beta = 50$ and input resistance $1\, k\Omega$. If the peak value of a.c. input is $0.01\, V$ then the peak value of collector current is

The function $f\left(x\right) = \sec \left[\log\left(x+\sqrt{1+x^{2}}\right)\right]$ is

The value of $\frac{\log_{3} 5 \times \log_{25} 27 \times \log_{49} 7}{\log_{81} 3}$ is

Which one of the following is employed as a tranquilizer drug ?

If $f(5)=7$ and $f^{'}(5)=7$ then $\displaystyle\lim _{x \rightarrow 5} \frac{x f(5)-5 f(x)}{x-5}$ is given by

Which of the following orders regarding ionization energy is correct ?

When a manganous salt is fused with a mixture of $KNO_3$ and solid $NaOH$ the oxidation number of $Mn$ changes from $+2$ to

A body weighs 22.42 g and has a measured volume of 4.7 cc The possible errors in the measurement of mass and volume are 0.01 g and cc. Then the maximum error percentage in the density will be

$n$ identical droplets are charged to $V$ volt each. If they coalesce to form a single drop, then its potential will be

The general solution of the different equation $100\frac{d^{2}y}{dx^{2}}-20 \frac{dy}{dx}+y = 0 $ is

The degree of the differential equation $x = 1+\left(\frac{dy}{dx}\right)+\frac{1}{2!}\left(\frac{dy}{dx}\right)^{2}+\frac{1}{3!}\left(\frac{dy}{dx}\right)^{3} + .........$

$\int\sqrt{1+\cos\,x}\,dx$ is equal to

In hemoglobin the metal ion present is

For what values of m can the expression $2x^2 + mxy + 3y^2 - 5y - 2$ be expressed as the product of two linear factors

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength $480 \,nm$ in the visible region. Estimate the surface temperature of sun. (Given Wien's constant $b = 2.88\times10^{-3} \,mK.)$

The reading of the ammeter in the following figure will be

If $x_1$ be the size of the magnified image and $x_2$ the size of the diminished image in Lens Displacement Method, then the size of the object is

Compound formed by electrolysis of a mixture of ethanol and NaCl is

A solution of sucrose (molar mass = $342 \,g \,mol^{-1}$) has been prepared by dissolving $68.5 \,g$ of sucrose in $1000 \,g$ of water. The freezing point of the solution obtained will be ($K_f$ for water = $1.86 \, K \, kg \, mol^{-1}$)

$AB$ crystallizes in a body centred cubic lattice with edge length 'a' equal to $387 \,pm$. The distance between two oppositely charged ions in the lattices is

The value of $\frac{2}{3!}+\frac{4}{5!}+\frac{6}{7!}+........$ is

For the current loops shown in the figure, Kirchhoff's loop rule for the loops $A H D C B A$ and AHDEFGA yields these equations respectively