List of top Questions asked in BITSAT- 2021

When ²35U undergoes fission, 0.1% of its original mass is changed into energy. How much energy is released if 1kg of ²35U undergoes fission?
After two hours, one-sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is
A charged particle moves through a magnetic field perpendicular to its direction. Then
A mercury drop of radius 1 cm is sprayed into 10⁶ drops of equal size. The energy expressed in joules is (surface tension of mercury is 460 × 10⁻3N/m):

A wire is connected to a battery between the points M and N as shown in figure 
(1). The same wire is bent in the form of a square and then connected to the battery between the points M and N as shown in figure 
(2). Which of the following quantities increases? 

A tuning fork of frequency 392Hz resonates with 50cm length of a string under tension T. If the length of the string is decreased by 2%, keeping the tension constant, the number of beats heard when the string and the tuning fork are made to vibrate simultaneously is
A long, hollow conducting cylinder is kept coaxially inside another hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.
A body moves in a circular orbit of radius R under the action of a central force. Potential due to the central force is given by V(r)=kr (where k is a positive constant). Period of revolution of the body is proportional to
During vapourisation I. change of state from liquid to vapour state occurs. II. temperature remains constant. III. both liquid and vapour states coexist in equilibrium. IV. specific heat of substance increases. Correct statements are
A telescope has an objective lens of 10cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000AA, is of the order of
Five gas molecules chosen at random are found to have speeds of 500, 600, 700, 800 and 900m/s.

There are two sources kept at distances 2λ apart. A large screen is perpendicular to the line joining the sources. Number of maxima on the screen in this case (λ= wavelength of light) is 

Two concentric conducting spherical shells A and B having radii rA and rB (rB > rA) are charged to QA and -QB (|QB| > |QA|). The electric field along a line passing through the centre is 

A disk of radius a/4 having a uniformly distributed charge -6C is placed in the x-y plane with its centre at (-a/2,0,0). A rod of length a carrying a uniformly distributed charge 8C is placed on the x-axis from x = a/4 to x = 5a/4. Two point charges -7C and 3C are placed at (-a/4,0,0) and (-3a/4,3a/4,0), respectively. Consider a cubical surface formed by six surfaces x=± a/2, y=± a/2, z=± a/2. The electric flux through this cubical surface is 

On a hypotenuse of a right prism (30^∘-60^∘-90^∘) 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 of the liquid is 

The following figure depicts a circular motion. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated on the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P can be shown as: 

Two conducting shells of radius a and b are connected by a conducting wire as shown in figure. The capacity of system is: 

Two heavy spheres, each of radius r, are in equilibrium within a smooth cup of radius 3r. The ratio of reaction between the cup and one sphere and that between the two spheres is 

Given that A + B = R and A = B = R. What should be the angle between A and B?

The basic magnetization curve for a ferromagnetic material is shown in figure. Then the value of relative permeability is highest for the point 

E^∘ for the cell, Zn|Zn²+(aq)||Cu²+(aq)|Cu is 1.10V at 25^∘C. The equilibrium constant of the reaction Zn + Cu²+(aq) rightleftharpoons Cu + Zn²+(aq) is of the order of

For the reaction CO(g) + (1)/(2)textO₂(textg) → textCO₂(textg), which one of the statements is correct at constant T and P?
Specific conductance of 0.1M HA is 3.75 × 10⁻4Ω⁻1cm⁻1. If Lambdam^∘(HA) = 250Ω^-1cm²mol⁻1, the dissociation constant Kₐ of HA is
The marks obtained by 60 students in a certain test are given below:
Marks: 10–20, 20–30, 30–40, 40–50, 50–60, 60–70, 70–80, 80–90, 90–100
No. of students: 2, 3, 4, 5, 6, 12, 14, 10, 4
Median of the above data is
Let A,B,C be finite sets. Suppose that n(A)=10, n(B)=15, n(C)=20, n(A∩ B)=8 and n(B∩ C)=6. Then the possible value of n(A∪ B∪ C) is