List of top Questions asked in BITSAT

The probability that the same number appear on throwing three dice simultaneously, is

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

For the hyperbola $\frac{x^{2}}{\cos ^{2} \alpha}-\frac{y^{2}}{\sin ^{2} \alpha}=1$, which of the following remains constant when $\alpha$ varies

The solution of the differential equation $\frac{d y}{d x}+\frac{2 y x}{1+x^{2}}=\frac{1}{1+x^{22}}$ is

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

If $(\cos \theta+i \sin \theta)(\cos 2 \theta+i \sin 2 \theta) \ldots . .(\cos n \theta+i \sin n \theta)=1$, then the value of $\theta$ is, $m \in N$

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

The length of the common chord of the ellipse $\frac{(x+1)^{2}}{9}+\frac{(y-2)^{2}}{4}=1$ and the circle $x-1^{2}+y-2^{2}=1$ is

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?

Two rings of radius $R$ and $n R$ made of same material have the ratio of moment of inertia about an axis passing through centre in $1: 8$. The value of $n$ is

There are two planets. The ratio of radius of the two planets is $k$ but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity?

The extension in a string obeying Hooke's law $v$ is $x$. The speed of sound in the stretched string is $v$. If the extension in the string is increased to $1.5\, x$, the speed of sound will be

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?

The relative humidity on a day when partial pressure of water vapour is $0.012 \times 10^{5} Pa$ at $12^{\circ} C$ is (Take vapour pressure of water at this temperature as $0.016 \times 10^{5}Pa)$

In the absence of intermolecular forces of attraction, the observed pressure $P$ will be

Alizarin belongs to the class of

An electric line of force in the $xy$ plane is given by equation $x^2 + y^2 = 1$. A particle with unit positive charge, initially at rest at the point $x = 1, y = 0$ in the $xy$ plane

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 :

If a=\(\log _{2} 3, b=\log _{2} 5, c=\log _{7} 2,\) then \(\log _{140} 63\) in terms of a, b, c is

If $\sin^{-1} \, x + \sin^{-1} \, y = \frac{\pi}{2},$ then $\frac{dy}{dx} $ is equal to

In the circuit, the potential difference across $PQ$ will be nearest to

In the relation $P =\frac{a}{\beta} e ^{-\frac{a z}{ k \theta}}, p$ is the pressure, $z$ the distance, $k$ is Boltzmann constant and $\theta$ is the temperature, the dimensional formula of $\beta$ will be

The cyclotron frequency of an electron grating in a magnetic field of $1 \,T$ is approximately