List of top Questions asked in BITSAT- 2012

Which of the following combinations would not result in the formation of a buffer solution?

If the force is given by $ F = at + bt^2$ with $t$ as time. The dimensions of $a$ and $b$ are

Two dice are thrown together $4$ times. The probability that both dice will show same numbers twice is -

The Young?s modulus of a perfectly rigid body is

Which of the following does not have valence electron in $3d$-subshell?

The foot of the perpendicular from the point $(7, 14, 5)$ to the plane $2x + 4y - z = 2$ are

Find the coordinates of the point where the line joining the points $(2, -3, 1)$ and $(3, - 4, - 5)$ cuts the plane $2x + y + z = 7$.

What is the value of n so that the angle between the lines having direction ratios $(1, 1, 1)$ and $(1, -1, n)$ is $60^{\circ}$ ?

A wheel of radius $R$ rolls on the ground with a uniform velocity $v$. The relative acceleration of topmost point of the wheel with respect to the bottom most point is

A man of mass \(100 \,kg\). is standing on a platform of mass \(200 \,kg\). Which is kept on a smooth ice surface. If the man starts moving on the platform with a speed \(30 \,m/sec\) relative to the platform then calculate with what velocity relative to the ice the platform will recoil?

A solid body of constant heat capacity $1 \,J/?C$ is being heated by keeping it in contact with reservoirs in two ways : (i) Sequentially keeping in contact with $2$ reservoirs such that each reservoir supplies same amount of heat. (ii) Sequentially keeping in contact with $8$ reservoirs such that each reservoir supplies same amount of heat. In both the cases body is brought from initial temperature $100^{\circ}C$ to final temperature $200^{\circ}C$. Entropy change of the body in the two cases respectively is :

Bond enthalpies of $H_2, X_2$ and $HX$ are in the ratio $2 : 1 : 2$. If enthalpy of formation of $HX$ is $-50 \,kJ \,mol^{-1}$, the bond enthalpy of $H_2$ is

$0.45 \,g$ of acid molecular weight $90$ is neutralised by $20\, ml$ of $0.5\,N$ caustic potash. The basicity of acid is

A body moves with uniform acceleration, then which of the following graph is correct ?

Let $x$ and $y$ be two natural numbers such that $xy = 12(x + y)$ and $x \le y$. Then the total number of pairs $(x, y)$ is

In which of the following reactions, standard entropy change $(\Delta S^{\circ})$ is positive and standard Gibb?s energy change $(\Delta G^{\circ})$ decreases sharply with increasing temperature ?

In which case the $NO_2$ will attack at the meta position

A boy is throwing stones at a target. The probability of hitting the target at any trial is $\frac{1}{2}$ .The probability of hitting the target $5^{th}$ time at the $10^{th}$ throw is :

$\int\limits^{\pi/2}_{0} \frac{2^{\sin x}}{2^{\sin x} + 2^{\cos x}} dx $ equals

Complete hydrolysis of cellulose gives

The pOH value of a solution whose hydroxide ion concentration is $6.2 \times 10^{-9}$ mol/litre is

Number of atoms of $He$ in $100$ amu of $He$ (atomic wt. of $He$ is $4$) are :

For the function $f\left(x\right)= \frac{x^{100}}{100} + \frac{x^{99}}{99} + ... \frac{x^{2}}{2} + x + 1 , $ f ' (1) = mf' (0), where m is equal to

The reaction, $SO _{2}+ Cl _{2} \longrightarrow SO _{2} Cl _{2}$ is exothermic and reversible. $A$ mixture of $SO _{2}( g ), Cl _{2}( g )$ and $SO _{2} Cl _{2}(l)$ is at equilibrium in a closed container. Now a certain quantity of extra $SO _{2}$ is introduced into the container, the volume remaining the same. Which of the following is/are true?