List of top Questions asked in BITSAT

In the kinetic theory of gases, which of these statements is/are true? (i) The pressure of a gas is proportional to the mean speed of the molecules. (ii) The root mean square speed of the molecules is proportional to the pressure. (iii) The rate of diffusion is proportional to the mean speed of molecules. (iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.
The work done in blowing a soap bubble of surface tension \(0.06 \text{ N m}^{-1}\) from radius \(2 \text{ cm}\) to \(5 \text{ cm}\) is:
In a thermodynamic process, the pressure of a fixed mass of a gas is changed in such a manner that the gas releases 20 J of heat and 8 J of work is done on the gas. If the initial internal energy of the gas is 30 J, the final internal energy will be:
One mole of \(O_2\) gas having a volume equal to \(22.4 \text{ litres}\) at \(0^\circ C\) and 1 atm is compressed isothermally so that its volume reduces to \(11.2 \text{ litres}\). The work done in this process is:
The wavelength of radiation emitted by a body depends upon:
A projectile is fired with a velocity \(u\) making an angle \(\theta\) with the horizontal. What is the magnitude of change in velocity when it is at the highest point?
A person with his hand in his pocket is skating on ice at the rate of \(10 \text{ m s}^{-1}\) and describes a circle of radius \(50 \text{ m}\). What is his inclination to vertical? \((g = 10 \text{ m s}^{-2})\)
For the equation of force \(F = Aa^b d^c\), where \(F\) is the force, \(A\) is the area, \(v\) is the velocity and \(d\) is the density, the values of \(a, b\) and \(c\) are respectively:
A spherically symmetric gravitational system of particles has a mass density \[ \rho = \begin{cases} \rho_0 & \text{for } r \le R \\ 0 & \text{for } r > R \end{cases} \] where \(\rho_0\) is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed \(v\) as a function of distance \(r\) \((0 < r < \infty)\) from the centre of the system is represented by:
A small block of mass \(m\) is kept on a rough inclined surface of inclination \(\theta\) fixed in an elevator. The elevator goes up with a uniform velocity \(v\) and the block does not slide on the wedge. The work done by the force of friction on the block in time \(t\) will be:
A rifle man, who together with his rifle has a mass of 100 kg, stands on a smooth surface and fires 10 shots horizontally. Each bullet has a mass 10 g and a muzzle velocity of 800 m s\(^{-1}\). The velocity which the rifle man attains after firing 10 shots is:
A train accelerating uniformly from rest attains a maximum speed of \(40 \text{ m s}^{-1}\) in 20 s. It travels at this speed for 20 s and is brought to rest with uniform retardation in further 40 s. What is the average velocity during the period?
A projectile is fired with a velocity $u$ making an angle $\theta $ with the horizontal. What is the magnitude of change in velocity when it is at the highest point -
A wire $X$ is half the diameter and half the length of a wire $Y$ of similar material. The ratio of resistance of $X$ to that of $Y$ is
If M. D. is $12$, the value of S.D. will be
If $A = \begin{bmatrix}1&1\\ 1&1\end{bmatrix}$ then $A^{100}$ :
An arch of a bridge is semi-elliptical with major axis horizontal. If the length the base is $9$ meter and the highest part of the bridge is $3$ meter from the horizontal; the best approximation of the height of the arch. $2$ meter from the centre of the base is
In how many ways can a committee of $5$ made out $6$ men and $4$ women containing atleast one woman?
A coin is tossed $7$ times. Each time a man calls head. Find the probability that he wins the toss on more occasions.
Consider $\frac{x}{2} + \frac{y}{4} \ge1 $ and $\frac{x}{3} + \frac{y}{2} \le 1 , x ,y \ge0 $. Then number of possible solutions are :
If $\begin{bmatrix}\alpha&\beta\\ \gamma&-\alpha\end{bmatrix}$ is square root of identity matrix of order $2$ then
If $T_0, T_1, T_2.....T_n$ represent the terms in the expansion of $ (x + a)^n$, then $(T_0 -T_2 + T_4 - .......)^2 + (T_1 - T_3 + T_5 - .....)^2 =$
The complex number $z = z + iy$ which satisfies the equation $\left| \frac{z-3i}{z+3i}\right| = 1 $, lies on
The number of all three elements subsets of the set $\{a_1, a_2, a_3 . . . a_n\}$ which contain $a_3$ is
If the $(2p)^{th}$ term of a H.P. is $q$ and the $(2q)^{th}$ term is $p$, then the $2(p + q)^{th}$ term is-