List of top Questions asked in BITSAT- 2007

The equation of progressive wave is $y=0.2 \sin 2 \pi\left[\frac{t}{0.01}-\frac{x}{0.3}\right]$, where $x$ and $y$ are in metre and t is second. The velocity of propagation of the wave 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?

A wave has velocity $v$ in medium $P$ and velocity $2v$ in medium $Q$. If the wave is incident in medium $P$ at an angle of $30^{\circ}$, then the angle of refraction will be

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 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 how many ways can $5$ boys and $5$ girls sit in a circle so that no two boys sit together?

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

If average velocity becomes $4$ times then t-hat will be the effect on rms velocity at that Temperature?

Given standard electrode potentials $Fe ^{2}:+2 e ^{-} \longrightarrow Fe E ^{\circ}=-0 \cdot 440 \,V$ $Fe ^{3+}+3 e ^{-} \longrightarrow Fe E ^{\circ}=-0 \cdot 036\, V$ The standard electrode potential $\left(E^{\circ}\right)$ for $Fe ^{3+}+ e ^{-} \longrightarrow Fe ^{2+}$ is :

The displacement of a charge $Q$ in the electric field $E=e_{1} 1+e_{2} j+e_{3} k$ is $r=a i+b j$. The work done is

The minimum value of $2x + 3y,$ when $xy = 6,$ is

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

Which of the following ketones will not respond to iodoform test?

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 $273\, K$?

$H_2O_2$ used in rocket has the concentration

Setting of plaster of Peris involves

Tautomerism is exhibited by

For all complex numbers $z _{1}, z _{2}$ satisfying $\left| z _{1}\right|=12$ and $\left| z _{2}-(3+4 i )\right|=5$, the minimum value of $\left|z_{1}-z_{2}\right|$ is

Which of the most volatile compounds?

The compound which gives the most stable carbonium ion on dehydration is

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: