List of top Questions asked in BITSAT

In a CE transistor amplifier, the audio signal voltage across the collector resistance of \(2\,\text{k}\Omega\) is \(2\,\text{V}\). If the base resistance is \(1\,\text{k}\Omega\) and the current amplification of the transistor is \(100\), the input signal voltage is:

A conducting square loop is placed in a magnetic field \(B\) with its plane perpendicular to the field. The sides of the loop are shrinking at a constant rate \(\alpha\). The induced emf in the loop at an instant when its side is \(a\) is:

A body is thrown vertically upwards from point \(A\), the top of a tower, and reaches the ground in time \(t_1\). If it is thrown vertically downwards from \(A\) with the same speed, it reaches the ground in time \(t_2\). If it is allowed to fall freely from \(A\), the time it takes to reach the ground is given by:

A charged particle moving in a uniform magnetic field loses \(4\%\) of its kinetic energy. The radius of curvature of its path changes by:

An elastic string of unstretched length \(L\) and force constant \(k\) is stretched by a small length \(x\). It is further stretched by another small length \(y\). The work done in the second stretching is:

A solid sphere of radius \(R\) has a charge \(Q\) distributed in its volume with a charge density \(\rho = kr\), where \(k\) and \(r\) are constants and \(r\) is the distance from its centre. If the electric field at \(r=\dfrac{R}{2}\) is \(\dfrac{1}{8}\) times that at \(r=R\), the value of \(a\) is:

Calculate the wavelength of light used in an interference experiment from the following data: Fringe width \(=0.03\) cm. Distance between the slits and eyepiece through which interference pattern is observed is 1 m. Distance between the images of the two virtual sources when a convex lens of focal length 16 cm is used at a distance of 80 cm from the eyepiece is 0.8 cm.

Two tuning forks with natural frequencies 340 Hz each move relative to a stationary observer. One fork moves away from the observer while the other moves towards the observer with the same speed. The observer hears beats of frequency 3 Hz. Find the speed of the tuning forks.

An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of the escape velocity from the earth. The height \(h\) of the satellite above the earth’s surface is (Take radius of earth as \(R_e\)):

The displacement of a particle is given as a function of time \(t\) by: \[ x = A\sin(2\omega t) + B\sin^2(\omega t) \] Then,

The frequency of a sonometer wire is $100\, Hz$. When the weights producing the tensions are completely immersed in water, the frequency becomes $80\, Hz$ and on immersing the weights in a certain liquid, the frequency becomes $60\, Hz$. The specific gravity of the liquid is

A thin rod of length $4l$, mass $4\, m$ is bent at the points as shown in figure. What is the moment of inertia of the rod about the axis passing point $O$ and perpendicular to the plane of the paper?

A charged particle moving in a uniform magnetic field and losses $4\%$ of its kinetic energy. The radius of curvature of its path changes by

The mean square deviation of a set of $n$ observation $x_{1}, x_{2},... x_{n}$ about a point $c$ is defined as $\frac{1}{n} \displaystyle\sum_{i=1}^{n}\left(x_{i}-c\right)^{2}$.The mean square deviations about $- 2$ and $2$ are $18$ and $10$ respectively, the standard deviation of this set of observations is

Let $M$ be a $3 \times 3$ non-singular matrix with $det(M)=\alpha$. If $\left[M^{-1} adj(adj(M)]=K I\right.$, then the value of $K$ is

The number of real roots of the equation $e^{x-1} + x - 2 = 0$ is

The arithmetic mean of the data $0,1,2, \ldots \ldots, n$ with frequencies $1,{ }^{n} C_{1},{ }^{n} C_{2}, \ldots,{ }^{n} C_{n}$ is

A bag contains $3$ red and $3$ white balls. Two balls are drawn one by one. The probability that they are of different colours is.

Let $S$ be the focus of the parabola $y ^{2}=8 x$ and let $PQ$ be the common chord of the circle $x^{2}+y^{2}-2 x-4 y=0$ and the given parabola. The area of the $\Delta PQS$ is

If a function $f(x)$ is given by $f(x)=\frac{x}{1+x}+\frac{x}{(x+1)(2 x+1)}+\frac{x}{(2 x+1)(3 x+1)}+\ldots \infty$ then at $x =0$, $f(x)$

The boiling point of alkyl halide are higher than those of corresponding alkanes because of

Some salts containing two different metallic elements give test for only one of them in solution, such salts are

Laughing gas is

Graphite is a

Calculate the wavelength of light used in an interference experiment from the following data : Fringe width $= 0.03\, cm$. Distance between the slits and eyepiece through which the interference pattern is observed is $1\,m$. Distance between the images of the virtual source when a convex lens of focal length $16\, cm$ is used at a distance of $80\, cm$ from the eyepiece is $0.8\, cm$.