List of practice Questions

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

Which of the following does not exihibit the phenomena of mutarotation?

Some of the properties of the two species, $NO_3^-$ and ${H_3O^+}$ are described below. Which one of them is correct?

For transistor action (1) Base, emitter and collector regions should have similar size and doping concentrations. (2) The base region must be very thin and lightly doped. (3) The emitter-base junction is forward biased and base-collector junction is reverse biased. (4) Both the emitter-base junction as well as the base-collector junction are forward biased. Which one of the following pairs of statements is correct?

Bovine spongiform encephalopathy is a disease caused by prions in a.....

According to Darwin, evolution is_______

In the following reaction sequence, $ \ce{CH3CHO ->[Cl_2][Ca(OH)_2] X ->[C_6H_5NH_2][Alc. KOH] Y}$ $Y$ is

$0.023\, g$ of sodium metal is reacted with $100 \,cm^3$ of water. The pH of the resulting solution is ______

A white crystalline salt $A$ reacts with dilute $HCl$ to liberate a suffocating gas $B$ and also forms a yellow precipitate. The gas $B$ turns potassium dichromate acidified with dilute $H_2SO_4$ to a green coloured solution $C, A, B$ and $C$ are respectively

$\upsilon_{1}$ is the frequency of the series limit of Lyman series, $\upsilon_{2}$ is the frequency of the first line of Lyman series and $\upsilon_{3}$ is the frequency of the series limit of the Balmer series. Then

A plano-convex lens is made of refractive index of $1.6 .$ The radius of curvature of the curved surface is $60\, cm$. The focal length of the lens is