List of top Questions asked in BITSAT- 2007

A thermodynamical system is changed from state $(P_1, V_1)$ to $(P_2, V_2)$ by two different processes, the quantity which will remain same will be

The solution of the differential equation $\frac{d y}{d x}+\frac{2 y x}{1+x^{2}}=\frac{1}{1+x^{22}}$ is

The probability that the same number appear on throwing three dice simultaneously, is

An electric line of force in the $xy$ plane is given by equation $x^2 + y^2 = 1$. A particle with unit positive charge, initially at rest at the point $x = 1, y = 0$ in the $xy$ plane

A solution of sucrose (Molar mass = $342\,g/mol$) is prepared by dissolving $68.4\, g$ of it per litre of solution, what is its osmotic pressure ($R = 0.082 \,L$ atom $K^{-1}$ $mol^{-1}$) at $273\, K$?

Alizarin belongs to the class of

Let A be an orthogonal non-singular matrix of order $n$, then the determinant of matrix $AI _{ n }$ ie, $\left| A - I _{ n }\right|$ is equal to

If a=\(\log _{2} 3, b=\log _{2} 5, c=\log _{7} 2,\) then \(\log _{140} 63\) in terms of a, b, c is

A ball whose density is $0.4 \times 10^3 \, kg/m^3$ falls into water from a height of $9\,cm$. To what depth does the ball sink?

In the relation $P =\frac{a}{\beta} e ^{-\frac{a z}{ k \theta}}, p$ is the pressure, $z$ the distance, $k$ is Boltzmann constant and $\theta$ is the temperature, the dimensional formula of $\beta$ will be

$H_2O_2$ used in rocket has the concentration

For a reaction equilibrium, $N _{2} O _{4}( g ) \rightleftharpoons 2 NO _{2}( g )$, the concentrations of $N _{2} O _{4}$ and $NO _{2}$ at equilibrium are $4.8 \times 10^{-2}$ and $1.2 \times 10^{-2}\, mol / L$ respectively. The value of $k$, for the reaction is:

Two springs have their force constant as $k_1$ and $k_2 (k_1 > k_2)$. when they are stretched by the same force

Area of the region satisfying $x \leq 2, y \leq|x|, x-$ axis and $x \geq 0$ is:

The relation between voltage sensitivity $\left(\sigma_{ v }\right)$ and current sensitivity $\left(\sigma_{1}\right)$ of a moving coil galvanometer is (resistance of galvanometer is G).

For the hyperbola $\frac{x^{2}}{\cos ^{2} \alpha}-\frac{y^{2}}{\sin ^{2} \alpha}=1$, which of the following remains constant when $\alpha$ varies

If one root of the quadratic equation $a x^{2}+b x+c=0$ is equal to $n^{\text {th }}$ power of the other root, then the value of: $a^{\frac{n}{n-1}} C^{\frac{1}{n-1}}+c^{\frac{n}{n-1}} a^{\frac{1}{n-1}}$ is equal to

In the below reaction $x$ is.

Tautomerism is exhibited by

In the circuit, the potential difference across $PQ$ will be nearest to

If $\sin^{-1} \, x + \sin^{-1} \, y = \frac{\pi}{2},$ then $\frac{dy}{dx} $ is equal to

The ratio of $Fe _{2} O _{3}$ and $Al$, in thermite is:

When radiation is incident on a photoelectron emitter, the stopping potential is found to be $9V$. If elm for the electron is $1.8 \times 10^{11} \, C \, kg^{-1}$, the maximum velocity of the ejected electron is

Setting of plaster of Peris involves

In the absence of intermolecular forces of attraction, the observed pressure $P$ will be