List of top Questions asked in BITSAT

Two blocks are connected over a massless pulley as shown in fig. The mass of block $A$ is $10\, kg$ and the coefficient of kinetic friction is $0.2$. Block A slides down the incline at constant speed. The mass of block $B$ in $kg$ is:

The power dissipated in the circuit shown in the figure is $30$ Watts. The value of $R$ is

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

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

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

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

A clock pendulum made of invar has a period of $0.5 \, s$, at $20^{\circ}C$. If the clock is used in a climate where the temperature averages to $30^{\circ}C $, how much time does the clock lose in each oscillation? (For invar, $a = 9 \times 10^{-7} /^{\circ} C, g$ = constant)

The type of bonds present in sulphuric anhydride are -

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

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

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 bar magnet is $10 \,cm$ long is kept with its north ($N$)-pole pointing north. A neutral point is formed at a distance of $15 \,cm$ from each pole: Given the horizontal component of earth's field is $0.4$ Gauss, the pole strength of the magnet is

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)

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

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

pH of a buffer solution decreases by $0.02 \,$ units when $0.12\, g$ of acetic acid is added to $250\, mL$ of a buffer solution of acetic acid and potassium acetate at $ 27^{\circ}C$. The buffer capacity of the solution is

When a wave traverses a medium the displacement of a particle located at $x$ at a time is given by $y = a \sin (bt - cx)$, where $a$, and $b$ are constants of the wave, which of the following is a quantity with dimensions?

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 -

Two sources $A$ and $B$ are sending notes of frequency $680 \,Hz$. A listener moves from $A$ and $B$ with-a constant velocity $u$. If the speed of sound in air is $340 \, ms^{-1}$ what must be the value of u so that he hears $10$ beats per second?

A body of mass $5 \,kg$ makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to $\frac{1}{10}$ th of its original velocity. Then the mass of the second body 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

How many '$mL$' of perhydrol is required to produce sufficient oxygen which can be used to completely convert $2L$ of $SO_2$ gas to $SO_3$ gas?

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

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