List of practice Questions

A monkey of mass $40 \,kg$ climbs ona massless rope which can stand a maximum tension of $500 \,N$. In which of the following cases will the rope break? (Take$\, g=10\,m \,s^{-2}$)
A monocarpic perennial plant is
A mole of $N_2H_4$ loses $10$ mol of electrons to form a new compound $Y$. Assuming that all the nitrogen appears in the new compound, what is the oxidation state of nitrogen in $Y$? (There is no change in the oxidation number of hydrogen.)
A mole of $ {N_2H_4}$ loses ten moles of electrons to form a new compound Y. Assuming that all the nitrogen appears in the new compound, what is the oxidation state'of nitrogen in Y? (there is no change in the oxidation number of hydrogen)
A mixture of three gases, ethane, ethene and ethyne are passed through ammoniacal solution of cuprous chloride. The emergent gas(es) after it was passed through solution contained
A mixture of $C_3H_8$ and $CH_4$ exerts a pressure of 320 mm Hg at temperature T K in a V litre flask. On complete combustion, gaseous mixture contains $CO_2$ only and exerts a pressure of 448 mm Hg under identical conditions. Hence mole fraction of $C_3H_8$ in the mixture is
A mixture of dihydrogen and dioxygen at one bar pressure contains 20% by weight of dihydrogen. What would be the partial pressure of dihydrogen in bar?
A mitotic poison is
A metre rod of mass 200 g is suspended by two strings at each end as shown in figure. A body of mass 300 g is suspended by a weightless string at 30 cm mark. The tensions in the string 2 is
A metre stick is balanced on a knife edge at its centre. When two coins, each of mass $5 \,g$ are put one on top of the other at the $12 \,cm$ mark, the stick is found to be balanced at $45 \,cm$. The mass of the metre stick is
A metallic rod of length L, area of cross-section A, Young's modulus Y has coefficient of linear expansion a. If the rod is heated through a temperature T, the energy stored per unit volume will be:
A metallic element exists as cubic lattice. Each edge of the unit cell is $2.88 \, \mathring A$. The density of the metal is 7.20 g $cm^{-3}$. How many unit cell will be present in 100 g of the metal?
A metallic rod of length 'L' and cross-section 'A' has Young's modulus 'Y' and coefficient of linear expansion $'\alpha'$ If the rod is heated to a temperature'T' the energy stored per unit volume is:
A metal cylinder of length $ L$ is subjected to a uniform compressive force $F$ as shown in the figure. The material of the cylinder has Young?s modulus $Y$ and Poisson?s ratio $\sigma$. The change in volume of the cylinder is
A metal $M$ readily forms its sulphate $MSO_4$ which is water soluble. It forms its oxide $MO$ which becomes inert on heating. It forms its insoluble hydroxide $M(OH)_2$ which is soluble in $NaOH$ solution. What would be $M$ ?
A metal block of Film area $ 0.10 \,m^{2} $ is connected to a $ 0.01 \,kg $ mass via a string that passes over a massless and frictionless pulley as shown in figure.
A liquid with a film thickness of $ 0.3 \,mm $ is placed between the block and the table. When released the block moves to the right with a constant speed of $ 0.085 \,m\, s^{-1} $ . The coefficient of viscosity of the liquid is (Take $ g = 10\, m \,s^{-2} $ )
A metal crystallises in a bcc lattice. Its unit cell edge length is about 300 pm and its molar mass is about $50\, g\, mol^{-1}$. What would be the density of the metal (in $g\, cm^{-3}$)?
A metal crystallises into two cubic phases, face centred cubic $(fcc)$ and body centred cubic $(bcc)$, whose unit cell lengths are $3.5$ $?$ and $3.0$ $?$, respectively. The ratio of densities of $fcc$ and $bcc$ is
A material has Poisson?s ratio $0.5$. If a uniform rod made of it suffers a longitudinal strain of $2\times10^{-3}$, then the percentage change in volume is
A measure of dispersion is indicative of the reliability of
A merry-go-round, made of a ring-like platform of radius $R$ and mass $M$, is revolving with angular speed $\omega$. $A$ person of mass $M$ is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round. The speed of the round afterwards is
A mass of $2\,kg$ slides down a quarter circular track of radius $1\,m$. If the speed of mass at the bottom is $4\,ms^{-1}$, work done by frictional force is
A-material has normal density $\rho$ and bulk modulus K. .The increase in the density of the material when it is subjected to an external pressure 'p' from all sides is
The value of $\left(A\cup B \cup C\right) \cap \left(A \cap B^{c} \cap C^{c}\right)^{c} \cap C^{c} $ , is
A mass $M$ is suspended by a rope from a rigid support at $P$ as shown in the figure. Another rope is tied at the end $Q$, and it is pulled horizontally with a force $F$. If the rope $AB$ makes angle $\theta$ with the vertical then the tension in the string $PQ$ is :