List of top Questions asked in JIPMER MBBS

A thin symmetrical double convex lens of refractive index \(μ_2=1.5\) is placed between a medium of refractive index \(μ_1=1.4\) to the left and another medium of refractive index \(μ_3=1.6\) to the right. Then, the system behaves as

A wide hose pipe is held horizontally by a fireman. It delivers water through a nozzle at one litre per second. On increasing the pressure, this increases to two litres per second. The fireman has now to

The planets with radii \(R_1\) and \(R_2\) have densities \(ρ_1\) and \(ρ_2\). Their atmospheric pressures are \(p_1\) and \(p_2\) respectively. Therefore, the ratio of masses of their atmosphere, neglecting variation of \(g\) within the limits of atmosphere is:

The wavelength \(λ\) of a photon and the de-Broglie wavelength of an electron have the same value. Find the ratio of energy of photon to the kinetic energy of electron in terms of mass \(m\), speed of light \(c\) and planck constant.

A solid cylinder is attached to a horizontal massless spring as shown in figure. If the cylinder rolls without slipping, the time period of oscillation of the cylinder is

A stream of a liquid of density \(ρ\) flowing horizontally with speed \(v\) rushes out of a tube of radius \(r\) and hits a vertical wall nearly normally. Assuming that the liquid does not rebound from the wall, the force exerted on the wall by the impact of the liquid is given by

N lamps each of resistance r, are fed by a machine of resistance R. If light emitted by any lamp is proportional to the square of the heat produced, prove that the most efficient way of arranging them is to place them in parallel arcs, each containing n lamps, where n is the integer nearest to

Radioactive decay will occur as follows:
\(_{86}^{220}Rn→_{84}^{216}Po+_2^4He\); Half life = 55s
\(_{84}^{216}Po→_{82}^{216}Pb+_2^4He\); Half life = 0.66s
\(_{82}^{812}Pb→_{82}{212}BL+λ^oe\); Half life = 10.6 h
If a certain mass of radon (Rn=220) is allowed to decay in a certain container; then after 5 minutes the element with the greater mass will be

The \(x\) and \(y\) coordinates of a particle moving in a plane are given by \(x(t) = a\ cos (pt)\) and \(y(t) = b\ sin (pt)\) where \(a, b\) \((<a\)) and pare positive constants of appropriate dimensions and \(t\) is time. Then, which of the following is not true?

When the radioactive isotope \(_{88}Ra^{226}\) decays in a series by emission of three alpha \((α)\) and a beta \((β)\) particle, the isotope \(X\) which remains undecay is

White light is used to illuminate two slits in Young's double slit experiment. The separation between the slits is \(b\) and the screen is at a distance \(d\) \((>>b)\) from the slits. At a point on the screen directly in front of one of the slits, which wavelengths are missing?

A body is projected vertically upwards. The times corresponding to height h while ascending and while descending are \(t_1\) and \(t_2\), respectively. Then, the velocity of projection will be
(take g as acceleration due to gravity)

A cylindrical tube of uniform cross-sectional area \(A\) is filled with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially, the pressure of the gas is \(p_o\) and temperature is \(T_o\), atmospheric pressure is also \(p_o\). Now, the temperature of the gas is increased to \(2T_o\), the tension of wire will be

A long straight wire is carrying current \(I\) in +z direction. The x-y plane contains a closed circular loop carrying current \(I_2\) and not encircling the straight wire. The force on the loop will be

A particle of mass \(m\) is executing oscillation about the origin on X-axis. Its potential energy is \(V(x) = K|x|^3\). Where \(K\) is a positive constant. If the amplitude of oscillation is \(a\), then its time period \(T\) is proportional to

A rocket is intended to leave the Earth's gravitational field. The fuel in tis main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

The turns of a solenoid, designed to provide a given magnetic flux density along its axis, are wound to fill the space between two concentric cylinders of fixed radii. How should the diameter d of the wire used be chosen so as to minimize the heat dissipated in the windings?

Two 20 g flatworms climb over a very thin wall, 10 cm high. One of the worm is 20 cm long, the other is wider and only 10 cm long. Which of the following statement is correct regarding them?

Cell theory was proposed by