List of top Questions asked in VITEEE

A compound microscope having magnifying power 35 with its eye-piece of focal length 10 cm. Assume that the final image is at least distance of distinct vision then the magnification produced by the objective is
The refractive index for a prism is given as \( \mu = \cot \frac{A}{2} \). Then, angle of minimum deviation in terms of angle of prism is
A horizontal rod of mass 0.01 kg and length 10 cm is placed on a frictionless plane inclined at an angle 60° with the horizontal and with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field is applied ‘Vertically downwards’. The current through the rod is 1.7 A, then the value of magnetic field induction \( B \) for which the rod remains stationary in the inclined plane is
A current of 2 A is flowing in the sides of an equilateral triangle of side 9 cm. The magnetic field at the centroid of the triangle is
The direction of magnetic field \( dB \) due to current element \( dl \) at a distance \( r \) is the direction of
A galvanometer with a scale divided into 100 equal divisions has a current sensitivity of 10 divisions per milliampere and a voltage sensitivity of 2 divisions per millivolt. The galvanometer resistance will be
The earth is considered as a short magnet with its centre coinciding with the geometric centre of earth. The angle of dip \( \delta \) related to the magnetic latitude \( \lambda \) is
Which of the following statement related to hysteresis loop is incorrect?
A magnetic needle lying parallel to the magnetic field requires \( W \) units of work to turn it through an angle 45°. The torque required to maintain the needle in this position will be
The masses of three copper wires are in the ratio 3 : 2 : 5 and their lengths are in the ratio 3 : 2 : 5. Then, the ratio of their electrical resistances is
A 30V-90W lamp is operated on a 120V DC line. A resistor is connected in series with the lamp in order to glow it properly. The value of resistance
The magnetic field at the centroid of the triangle is
In a potentiometer experiment, the balancing length of a cell is 560 cm. When an external resistance of 10 \(\Omega\) is connected in parallel to the cell, the balancing length changes by 60 cm. The internal resistance of a cell is
Two sources of equal emf are connected to a resistance \( R \). The internal resistance of the sources are \( r_1 \) and \( r_2 \), \( (r_1>r_2) \). If the potential difference across the source having internal resistance \( r_2 \) is zero, then
An electron of mass \( 9.0 \times 10^{-31} \) kg under the action of a magnetic field moves in a circle of radius 2 cm at a speed of \( 3 \times 10^6 \) m/s. A proton of mass \( 1.8 \times 10^{-27} \) kg moves in a circle of same radius in the same magnetic field, then its speed will become
The de-Broglie wavelength of an electron moving with a velocity of \(10^6\) m/s is:
The ionization energy of hydrogen in the ground state is
The electric field at the center of a uniformly charged spherical shell is
Equal charges \( q \) each are placed at the vertices of an equilateral triangle of side \( r \). The magnitude of electric field intensity at any vertex is
Two points masses, \( m \) each carrying charges \( -q \) and \( +q \) are attached to the ends of a massless rigid non-conducting wire of length \( L \). When this arrangement is placed in a uniform electric field, then it deflects through an angle \( \theta \). The minimum time needed by rod to align itself along the field is
A condenser of capacitance \( C \) is fully charged by a 200V supply. It is then discharged through a small coil of resistance \( r \) embedded in thermally insulated block of specific heat 250 J/K-g and mass 100 g. If the temperature of the block rises by 0.4 K, then the value of \( C \) is
When a hydrogen atom is raised from ground energy level to excited energy level, then
The half-life for \(\alpha\)-decay of uranium \( U^{228} \) is 4.47 × 10\(^8\) yr. If a rock contains 60% of the original \( U^{228} \) atoms, then its age is
A nuclear transformation is given by \[ Y(n, \alpha) \rightarrow L_i^{1} \] . The nucleus of element Y is
The angular momentum of an electron in Bohr’s hydrogen atom whose energy is -3.4 eV is