List of top Questions asked in BITSAT- 2020

A resistor of resistance R, capacitor of capacitance C and inductor of inductance L are connected in parallel to an AC power source of voltage varepsilon₀sinω t. The maximum current through the resistance is half of the maximum current through the power source. Then value of R is:
A lens having focal length f and aperture of diameter d forms an image of intensity I. Aperture of diameter d/2 in the central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively:
The frequency of vibration of a string is given by ν=(p)/(2l)√((F)/(m)) Here p is number of segments in the string and l is the length. The dimensional formula for ν will be:
For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index:
Consider elastic collision of a particle of mass m moving with a velocity u with another particle of the same mass at rest. After the collision the projectile and the struck particle move in directions making angles theta₁ and theta₂ respectively with the initial direction of motion. The sum of the angles theta₁+theta₂ is:
A conducting circular loop is placed in a uniform magnetic field of 0.04T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2mm/s. The induced emf in the loop when the radius is 2cm is:
Two resistances at 0^∘C with temperature coefficient of resistance alpha₁ and alpha₂ joined in series act as a single resistance in a circuit. The temperature coefficient of their single resistance will be:
The mass of ce¹5N is 15.00011u, mass of ce¹6O is 15.99492u and mp=1.00783u. Determine the binding energy of the last proton of ce¹6O.
A stone projected with a velocity u at an angle θ with the horizontal reaches maximum height H₁. When it is projected with velocity u at an angle ((π)/(2)-θ) with the horizontal, it reaches maximum height H₂. The relation between the horizontal range R of the projectile, heights H₁ and H₂ is:
If the series limit wavelength of Lyman series for the hydrogen atom is 912AA, then the series limit wavelength for Balmer series of hydrogen atoms is:
Find the number of photons emitted per second by a 25 watt source of monochromatic light of wavelength 6600AA. What is the photoelectric current assuming 3% efficiency for photoelectric effect?
A capillary tube of radius r is immersed vertically in a liquid such that liquid rises in it to height h (less than the length of the tube). Mass of liquid in the capillary tube is m. If radius of the capillary tube is increased by 50%, the mass of liquid that will rise in the tube is:
The drift velocity of electrons in a silver wire with cross-sectional area 3.14×10⁻6m² carrying a current of 20A is. Atomic weight of Ag = 108, density of silver = 10.5×10³kg m⁻3.
In the Young’s double-slit experiment, the intensity of light at a point on the screen where the path difference is λ/K (where λ is the wavelength of light used). The intensity at a point where the path difference is λ/4 will be:
The approximate depth of an ocean is 2700m. The compressibility of water is 45.4 × 10⁻11Pa⁻1 and density of water is 10³kg m⁻3. What fractional compression of water is obtained at the bottom of the ocean?
A string of length ℓ is fixed at both ends. It is vibrating in its 3ʳd overtone with maximum amplitude a. The amplitude at a distance ℓ/3 from one end is:
A deuteron of kinetic energy 50keV is describing a circular orbit of radius 0.5m in a plane perpendicular to a magnetic field B. The kinetic energy of the proton that describes a circular orbit of radius 0.5m in the same plane with the same B is:
Kepler’s third law states that the square of period of revolution T of a planet around the sun is proportional to the cube of average distance r between sun and planet i.e. T² = Kr³, where K is constant. If the masses of sun and planet are M and m respectively and as per Newton’s law of gravitation the force of attraction between them is F=(GMm)/(r²), where G is gravitational constant, the relation between G and K is described as:
Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by Δ x on applying force F, how much force is needed to stretch wire 2 by the same amount?
Two spheres of different materials, one with double the radius and one-fourth wall thickness of the other, are filled with ice. If the time taken for complete melting of ice in the larger sphere is 25 minutes and for the smaller one is 16 minutes, the ratio of thermal conductivities of the materials of larger spheres to that of smaller sphere is:
A bi-convex lens has a radius of curvature of magnitude 20cm. Which one of the following options best describes the image formed of an object of height 2cm placed 30cm from the lens?
A radioactive element X converts into another stable element Y. Half-life of X is 2 hours. Initially only X is present. After time t, the ratio of atoms of X and Y is found to be 1:4. Then t, in hours, is:
What should be the velocity of rotation of earth due to rotation about its own axis so that the weight of a person becomes (3)/(5) of the present weight at the equator. Equatorial radius of earth is 6400km.
The surface charge density of a thin charged disc of radius R is σ. The value of the electric field at the centre of the disc is (σ)/(2varepsilon₀). With respect to the field at the centre, the electric field along the axis at a distance R from the centre of the disc:
The molecules of a given mass of a gas have r.m.s. velocity of 200m s⁻1 at 27^∘C and 1.0×10⁵N m⁻2 pressure. When the temperature and pressure of the gas are respectively 127^∘C and 0.05×10⁵N m⁻2, the r.m.s. velocity of its molecules in m s⁻1 is: