List of top Questions asked in BITSAT

Two circular plates of radius 5 cm each have a 0.01 mm thick water film between them. What will be the force required to separate these plates? (Surface tension of water = 73 dyne/cm)
Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to
Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of the escape velocity vA/vB is
The upper end of a wire of diameter 12 mm and length 1 m is clamped and its other end is twisted through an angle of 30^. The angle of shear is
The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle θ without slipping and slipping down the incline without rolling is
A system consists of three particles each of mass m and located at (1,1), (2,2) and (3,3). The coordinates of the centre of mass are
A spring is compressed between two toy carts of mass m₁ and m₂. When the toys are released, the springs exert equal and opposite average forces for the same time on each cart. If v₁ and v₂ are the velocities of the toy carts and there is no friction between the toy carts and the ground, then:
The potential energy for a force field is given by U(x,y) = (x+y). The force acting on a particle at position given by coordinates (0, π/4) is:
A long string is stretched by 2 cm and the potential energy is V. If the spring is stretched by 10 cm, its potential energy will be
Two projectiles A and B are thrown with the same speed but at angles 40^ and 50^ with the horizontal. Then
A body is travelling in a circle at a constant speed. It
The position x of a particle varies with time t as x = At² - Bt³. The acceleration at the time of the maximum velocity will be equal to zero. What is the value of t?
If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, the non-zero integers x, y and z such that Pˣ Qʸ cᶻ is dimensionless, are:
Which of the following pairs has both members from the same period of periodic table :
In the periodic table, with the increase in atomic number, the metallic character of an element
Three separate samples of a solution of a single salt gave these results. One formed a white precipitate with excess ammonia solution, one formed a white precipitate with dil. $HCl$ solution and one formed a black precipitate with $H_{2} S$. The salt could be
Liebig? method is used for the estimation of
Minamata disease is due to pollution of
The value of $\cos^{-1}x + \cos^{-1} \left(\frac{x}{2} + \frac{1}{2} \sqrt{3-3x^{2}}\right) ; \frac{1}{2} \le x \le 1 $ is
The slope of the tangent to the hyperbola $2x^2 - 3y^2 = 6$ at $(3, 2)$ is
The solution of differential equation $2x \frac{dy}{dx} - y = 3$ represents a family of
$\int 4 \cos \left(x + \frac{\pi}{6}\right) \cos 2x . \cos\left(\frac{5\pi}{6} + x\right)dx $
Mean of $25$ observations was found to be $78.4$. But later on it was found that $96$ was misread $69$. The correct mean is
The function $f(x) = \tan x - 4x$ is strictly decreasing on
If $A = \begin{bmatrix}1&3\\ 3&2\\ 2&5\end{bmatrix}$ and $ B = \begin{bmatrix}-1&-2\\ 0&5\\ 3&1\end{bmatrix} $ and $A + B - D = 0$ (zero matrix), then $D$ matrix will be -