List of practice Questions

A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis . A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions $ s^ {-2} $ is

A body of mass $(4m)$ is lying in $x-y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass $(m)$ move perpendicular to each other with equal speeds $(v)$. The total kinetic energy generated due to explosion is

A four digit number is formed by the digits $1, 2, 3, 4$ with no repetition. The probability that the number is odd, is

If the temperature of the body is increased by $ 10\%, $ the percentage increase in the emitted indication will be

Enthalpy of combustion of carbon to $CO _{2}$ is $-393.5 \,kJ \,mol ^{-1}$. What amount of heat will be released upon formation of $35.2 \,g$ of $CO _{2}$ from carbon and oxygen gas?

Which of the following compounds undergoes nitration more readily?

Electron gain enthalpy with negative sign of fluorine is less than that of chlorine due to :

The catenation tendency of $C, Si$ and $Ge$ is in the order Ge $

If two vertices of an equilateral triangle are $A (- a, 0)$ and $B (a, 0), a > 0$, and the third vertex $C$ lies above x-axis then the equation of the circumcircle of $\Delta ABC$ is :

Let the equations of two ellipses be $E_{1} : \frac{x^{2}}{3}+\frac{y^{2}}{2}=1 and E_{2} : \frac{x^{2}}{16}+\frac{y^{2}}{b^{2}}=1$, If the product of their eccentricities is $\frac{1}{2}$, then the length of the minor axis of ellipse $E_2$ is:

Statement 1 : The only circle having radius $\sqrt{10}$ and a diameter along line $2 x+y=5 \, is\, x^{2}+y^{2}-6x+2y=0.$ Statement 2 : $2x + y = 5$ is a normal to the circle $x^{2}+y^{2}-6x+2y=0.$

Compound $( A ), C_8H_9Br$ gives a white precipitate when warmed with alcoholic $AgNO_3$. Oxidation of $(A)$ gives an acid $(B)$, $C_8H_6O$ 4. $(B)$ easily forms anhydride on heating. Identify the compound $(A)$.

Formaldehyde can be distinguished from acetaldehyde by the use of :

Monocarboxylic acids are functional isomers of:

Glycosidic linkage is actually an :

Which of the following enzyme converts starch into maltose?

Which of the following structures represents thymine?

Natural glucose is termed D-glucose because :

Potassium dichromate when heated with concentrated sulphuric acid and a soluble chloride, gives brown-red vapours of :

The order of reactivity of the given haloalkanes towards nucleophile is :

Which has trigonal bipyramidal shape ?

$XeO_4$ molecule is tetrahedral having :

Which of the following is the wrong statement?

The rate constant of a zero order reaction is $2.0 \times 10^{-2}\, mol \,L^{-1}\, s^{-1}$. If the concentration of the reactant after $25$ seconds is $0.5\,M$. What is the initial concentration ?

The standard enthalpies of formation of $CO_2(g), H_2O(l)$ and glucose(.v) at 25$^{\circ}$C- are 400 kJ/ mol. -300 kJ/mol and - 1300 kJ/mol, respectively. The standard enthalpy of combustion per gram of glucose at 25$^{\circ}$C is