List of top Questions asked in BITSAT- 2005

From the top of a tower of two stones, whose masses are in the ratio $1 : 2$ are thrown on straight up with an initial speed $u$ and the second straight down with the same speed $u$. Then neglecting air resistance :

The tangents from a point $(2 \sqrt{2}, 1)$ to the hyperbola $16 x ^{2}-25 y ^{2}=400$ include an angle equal to.

The degree of the differential equation $y(x)=1 +\frac{dy}{dx}+\frac{1}{1.2}\left(\frac{dy}{dx}\right)^2+\frac{1}{1.2.3}\left(\frac{dy}{dx}\right)^3+.........$ is

The number of common tangents to circle $x^{2}+y^{2}+2 x+8 y-23=0$ and $x^{2}+y^{2}-4 x-10 y+9=0$, is.

Let $\alpha, \beta, \gamma$ and $\delta$ are four positive real number such that their product is unity, then the least value of $(1+\alpha)(1+\beta)(1+\gamma)(1+\delta)$ is:

The equation of plane passing through a point $A (2,-1,3)$ and parallel to the vectors $a =(3,0,-1)$ and $b =(-3,2,2)$ is:

The largest value of $2x^3 - 3x^2 - 12x + 5$ for $-2 \leq x \leq 4$ occurs at $x$ is equal to :

Total number of books is $2n + 1$. One is allowed to select a minimum of the one book and a maximum of $n$ books. If total number of selections if $63$, then value of $n$ is :

Given function $f(x)=\left(\frac{e^{2 x}-1}{e^{2 x}+1}\right)$ is.

Value of $\displaystyle\sum_{ k =1}^{6}\left(\frac{2 k \pi}{7}\right)- i \cos \left(\frac{2 k \pi}{7}\right)$ is equal to.

The oxidation number of oxygen in hydrogen peroxide is:

$KF$ combines with $HF$ to form $KHF_2$. The compound contains the species:

The molecular electronic configuration of $Be_2$ is:

Which of the following silver salts is insoluble in water ?

Electron of mass $m$ and charge $q$ is travelling with a speed $v$ along a circular path of radius $r$ at right angles to a uniform magnetic field of intensity $B$. If the speed of the electron is doubled and the magnetic field is halved the resulting path would have a radius:

The induction coil works on the principle of :

The disc of a siren containing $60$ holes rotates at a constant speed of $360\, rpm$. The emitted sound is in unison with a tuning fork of frequency :

If a liquid does not wet glass, its angle of contact is :

An electron moves at right angle to a magnetic field of $1.5 \times 10^{-2} T$ with a speed of $6 \times 10^{7} m / s$. If the specific charge of the electron is $1.7 \times 10^{11} C / kg$. The radius of the circular nath will he

Infrared radiation was discovered in $1800$ by :

The work done in carrying a charge $q$ once round a circle of radius $r$ with a charge $Q$ at the centre is :

For the reaction (at $1240 \,K$ and $1$ atm.) $ CaCO_3 (s) \rightarrow CaO(s) + CO_2 (g) $ $\Delta H = 176 \, kJ/ mol; \Delta E$ will be :

Which of the following is deliquescent ?

Dacron is polymer of :