List of top Questions asked in BITSAT

Given the system of straight lines a $(2x + y - 3) + b(3x + 2y - 5) = 0$, the line of the system situated farthest from the point $(4, -3)$ has the equation

Let $\vec{a}, \vec{b}$ & $\vec{c}$ be non-coplanar unit vectors equally inclined to one another at an acute angle $\theta$. Then $| [ \vec{a} \; \vec{b} \; \vec{c}] |$ in terms of $\theta$ is equal to

If $x$ is real number, then $\frac{x}{x^{2}-5 x+9}$ must lie between

IF $f\left(z\right) = \frac{7-z}{1-z^{2}} $ , where $z = 1 + 2i$, then $|f(z)|$ is equal to :

A mercury drop of radius $1 \,cm$ is sprayed into $10^{6}$ drops of equal size. The energy expended in joule is (surface tension of mercury is $460 \times 10^{-3}\,N / m$ ):

The length of the semi-latus rectum of an ellipse is one thrid of its major axis, its eccentricity would be

When a metal surface is illuminated by light of wavelengths $400\, nm$ and $250\,nm$, the maximum velocities of the photoelectrons ejected are $V$ and $2 V$ respectively. The work function of the metal is

On a hypotenuse of a right prism $\left(30^{\circ}-60^{\circ}-90^{\circ}\right)$ of refractive index $1.50$, a drop of liquid is placed as shown in figure. Light is allowed to fall normally on the short face of the prism. In order that the ray of light may get totally reflected, the maximum value of refractive index is :

Steel wire of length ' $L$ ' at $40^{\circ} C$ is suspended from the ceiling and then a mass ' $m$ ' is hung from its free end. The wire is cooled down from $40^{\circ} C$, to $30^{\circ} C$ to regain its original length '$L$'. The coefficient of linear thermal expansion of the steel is $10^{-5} /{ }^{\circ} C$, Young's modulus of steel is $10^{11} \,N / m ^{2}$ and radius of the wire is $1 \,mm$. Assume that $L \gg$ diameter of the wire. Then the value of ' $m$ ' in $kg$ in nearly.

Which of these compounds are directional?

Two concentric conducting thin spherical shells $A$ and $B$ having radii $r _{ A }$ and $r _{ B }\left( r _{ B }> r _{ A }\right)$ are charged to $Q _{ A }$ and $- Q _{ B }\left(\left| Q _{ B }\right|>\left| Q _{ A }\right|\right)$. The electrical field along a line passing through the centre is

Which of the following relation represents correct relation between standard electrode potential and equilibrium constant? ?. $\log K=\frac{n F E^{\circ}}{2.303 R T}$ II. $K=e^{\frac{n F E^{\circ}}{R T}}$ III. $\log K=\frac{-n F E^{\circ}}{2.303 R T}$ IV. $\log K=0.4342 \frac{n F E^{\circ}}{R T}$ Choose the correct statement(s).

Which of the following represents Schotten- Baumann reaction?

Two very long, straight, parallel wires carry steady currents $ I$ and $-I$ respectively. The distance between the wires is $d$. At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity $v$ perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is

The number of radial nodes of $3s$ and $2p$ orbitals are respectively

The number of atoms per unit cell of $bcc$ structure is

Stronger is oxidising agent, more is

Specific conductance of o.1 \,M \,HA is $3 \cdot 75 \times 10^{-4} \,ohm ^{-1} \, cm ^{-1}$. Find the dissociation constant $K _{ a }$ of $HA$, if $\lambda_{\infty}( HA )=250 \, ohm ^{-1} \, cm ^{2} \,mol ^{-1}:$

In the formula $X=3 Y Z^{2}, X$ and $Z$ have dimensions of capacitance and magnetic induction respectively. The dimensions of $Y$ in $MKSA$ system are :

If $\int \frac{\cos x-1}{\sin x+1} e^{x} d x$ is equal to:

How many different nine digit numbers can be formed from the number $223355888$ by rearranging its digits so that the odd digits occupy even positions?

Electrometallurgical process is used to extract

Which of the following can form buffer solution?

Which of the following is not present in Portland cement?

The energy of an electron in second Bohr orbit of hydrogen atom is :