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List of top Questions asked in BITSAT- 2008

When $25\, g$ of a non-volatile solute is dissolved in $100\,g$ of water, the vapour pressure is lowered by $2.25 \times 10^{-1}\, mm$. If the vapour pressure of water at $20^{\circ} C$ is $17.5\, mm$, what is the molecular weight of the solute?
According to Cahn-Ingold-Prelog sequence rules, the correct order of priority for the given groups is

Given below are two statements ; one is labelled as Assertion A and the other is labelled as Reason R

Assertion (A): The aqueous solution of \(CH_3COONa\) is alkaline in nature.

Reason (R): Acetate ion undergoes anionic hydrolysis 

In the light of the above statements, choose the correct answer from the options given below

When same quantity of electricity is passed through aqueous $AgNO_3$ and $H_2SO_4$ solutions connected in series, $ 5.04 \times 10^{-2} \, g $ of $H_2$ is liberated. What is the mass of silver (in grams) deposited? (E wts. of hydrogen = $ 1.008,$ silver = $108$)
Starting from rest, the time taken by a body sliding down on a rough inclined plane at $45^{\circ}$ with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is
A steel wire can withstand a load up to $2940\, N$. A load of $150\, kg$ is suspended from a rigid support. The maximum angle through which the wire can be displaced from the mean position, so that the wire does not break when the load passes through the position of equilibrium, is
$50 \, mL $ of $H_2O$ is added to $50 \, mL$ of $1 \times 10^{-3}\, M$ barium hydroxide solution. What is the pH of the resulting solution?
The inverse of the point $(1, 2)$ with respect to the circle $x^2 + y^2 - 4x - 6y + 9 = 0$, is
The structure of the compound formed, when nitrobenzene is reduced by lithium aluminum hydride \((LiAlH_4)\) is
A load of $1\, kg$ weight is a attached to one end of a steel wire of area of cross-section $ 3 \, mm^2$ and Young's modulus $10^{11} \, N/m^2$. The other end is suspended vertically from a hook on a wall, then the load is pulled horizontally and released. When the load passes through its lowest position the fractional change in length is $(g = 10 \, m/s^2)$
What is the temperature at which the kinetic energy of $0.3$ moles of helium is equal to the kinetic energy of $0.4$ moles of argon -at $400\, K$ ?
For a crystal, the angle of diffraction $(2 \theta)$ is $90^{\circ}$ and the second order line has a d value of $2.28\,?$. The wavelength (in $?$) of $X$- rays used for Bragg's diffraction is
A pair of perpendicular straight lines passes through the origin and also through the point of intersection of the curve $x^2 + y^2 = 4$ with $x + y = a$. The set containing the value of '$a$' is
Identify $A$ and $B$ in the following reaction $CH _{3}- CH _{3} \stackrel{B}{\leftarrow}{B} CH _{3} COOH \xrightarrow{A} CH _{3} CH _{2} OH$
If $f : R \rightarrow R$ is defined by $f(x) = \begin{cases} \frac{\cos \ 3x - \cos \ x}{x^2} &, \text{for } x \neq 0 \\ \lambda &, \text{for } x = \end{cases}$ and if $f$ is continuous at $x = 0,$ then $\lambda$ is equal to
When electric current is passed through acidified water for $1930\, s,\, 1120\, mL$ of $H_2$ gas is collected (at STP) at the cathode. What is the current passed in amperes?
The surface tension of soap solution is $0.03\, N/m$. The work done in blowing to form a soap bubble of surface area $40 \, cm^2, (in\, J)$ is
If $f(2) = 4$ and $f'(2) = 1$, then $\displaystyle\lim_{x \to 2} \frac{xf (2) - 2 f (x) }{x -2}$ is equal to
Which one of the following graphs represents "Freundlich adsorption isotherm'' ?
The solution of the differential equation $\frac{dy}{dx} = \frac{xy + y}{xy + x}$ is
One litre of oxygen at a pressure of $1 \,atm$ and two litres of nitrogen at a pressure of $0.5\, atm$, are introduced into a vessel of volume $1\, L$. If there is no change in temperature, the final pressure of the mixture of gas (in atm) is
In the adiabatic compression, the decrease in volume is associated with
The bond length of $HCl$ molecule is $1.275\,?$ and its dipole moment is $1.03\, D$. The ionic character of the molecule (in percent) (charge of the electron $= 4.8 \times 10^{-10}$ esu) is
The magnetised wire of moment $M$ and length $l$ is bent in the form of semicircle of radius $r$. Then its magnetic moment is
In $\triangle A B C$ the mid points of the sides $A B, B C$ and $C A$ are respectively $(1,0,0),(0$, $m , 0)$ and $(0,0, n )$. Then, $\frac{A B^{2}+B C^{2}+C A^{2}}{l^{2}+m^{2}+n^{2}}$ is equal to

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