List of top Questions asked in BITSAT- 2009

A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)

An infinitely long straight conductor is bent into the shape as shown below. It carries a current of $I$ ampere and the radius of the circular loop is $R$ metre. Then, the magnitude of magnetic induction at the centre of the circular loop is -

In the adjacent shown circuit, a voltmeter of internal resistance $R$, when connected across $B$ an $C$ reads $\frac{100}{3} V$. Neglecting the internal resistance of the battery, the value of $R$ is

A piece of metal weighs $45 \, g$ in air and $25 \, g$ in a liquid of density $1.5 \times 10^3 \, kg-m^{-3}$ kept at $30^{\circ} C$. When the temperature of the liquid is raised to $40^{\circ}C$, the metal piece weighs $27\, g$. The density of liquid at $40^{\circ}C$ is $1.25 \times 10^3 \, kg-m^{-3}$. The coefficient of linear expansion of metal is

$\frac{\cos \, x}{\cos \, x -2y} = \lambda \, \Rightarrow \, \tan \, x - y$ is equal to

The coefficient of $x^{24}$ in the expansion of $(1 + x^2)^{12} (1 + x^{12}) (1 + x^{24})$ is

The roots of $ (x- a) (x - a-1) + (x - a -1) (x - a - 2) + (x - a) (x - a - 2) = 0 , a \in R$ are always

If $x, y, z$ are all positive and are the $p^{th}, q^{th}$ and $r^{th}$ terms of a geometric progression respectively, then the value of the determinant $\begin{vmatrix} \log x & p & 1 \\ \log y & q & 1 \\ \log z & r & 1 \end{vmatrix} = 0 $ equals

Let $f(x) = x^2 + ax + b,$ where $a, b \in R$. If $ f(x) = 0$ has all its roots imaginary, then the roots of $ f(x) + f' (x) + f" (x) = 0$ are

If \(\begin{vmatrix}1&-1&x\\1&x&1\\x&-1&1\end{vmatrix}\) has no inverse, then the real value of \(x\) is

Aluminium reacts with $NaOH$ and forms compound �$X$�. If the coordination number of aluminium in �$X$ � is $6$, the correct formula of $X$ is

A wire of length $l$ is bent into a circular loop of radius $R$ and carries a current $I$.The magnetic field at the centre of the $B$. The same wire is now bent into a double loop of equal radii. If both loops carry the same current $I$ and it is in the same direction, the magnetic field at the centre of the double loop will be -

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are $a, b$ and $c$ respectively, the ratio between' the increase in lengths of brass and steel wires would be

Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is

In Gattermann reaction, a diazonium group is replaced by using $\underline{Y} \underline{X}$and $\underline{Y}$ are

The locus of $z$ satisfying the inequality $\frac{z + 2i}{2z + i} < 1$ , where $z = x + iy$, is

What are $X$ and $Y$ in the following reaction sequence? $C_2H_5OH \xrightarrow{Cl_2}(X) \xrightarrow{Cl_2} Y$.

For $| x | < 1$, the constant term in the expansion of $\frac{1}{x -1^2 x - 2}$ is

The locus of centre of a circle which passes through the origin and cuts off a length of $4$ unit from the line $x = 3$ is

The image of the point $(3, 2, 1)$ in the plane $2x-y+3z = 7$ is