List of top Questions asked in KEAM- 2017

Match the following: I) Isothermal process
II) Isobaric process
III) Isochoric process
IV) Adiabatic process

A capillary tube of radius $0.5$ mm is immersed in a beaker of mercury. The level inside the tube is $0.8$ cm below the resonance and angle of contact is $120^\circ$. What is the surface tension of mercury if the mass density of mercury is $\rho = 13.6 \times 10^3$ kgm$^{-3}$ and acceleration due to gravity is $g = 10$ m/s$^2$?}

A uniform rod of length $1$ m and mass of $2$ kg is attached to a side support at $O$ as shown in the figure. The rod is at equilibrium due to upward force $T$ acting at $P$. Assume the acceleration due to gravity as $10$ m/s$^2$. The value of $T$ is

Consider a vehicle emitting sound wave of frequency $700$ Hz moving towards an observer at a speed $22$ m/s. Assuming the observer as well as the medium to be at rest and velocity of sound in the medium to be $330$ m/s, the frequency of sound as measured by the observer is

A transverse wave is propagating on a stretched string whose mass per unit length is $32$ g/m. The tension on the string is $80$ N. The speed of the wave in the string is

The $x$-$t$ plot shown in the figure below describes the motion of the particle along $x$-axis, between two positions A and B. The particle passes through two intermediate points $P_1$ and $P_2$ as shown in the figure

Consider the propagation of sound (with velocity $330$ m/s) in a pipe of length $1.5$ m with one end closed and the other open. The frequency associated with the fundamental mode is

A standing wave propagating with velocity $300$ m/s in an open pipe of length $4$ m has four nodes. The frequency of the wave is

A ball falls from a table top with initial horizontal speed $V_0$. In the absence of air resistance, which of the following statement is correct

Assuming the mass of Earth to be ten times the mass of Mars and its radius to be twice the radius of Mars and the acceleration due to gravity on the surface of Earth to be $10$ m/s$^2$, the acceleration due to gravity on the surface of Mars is

A particle of mass $3$ kg, attached to a spring with force constant $48$ N/m executes simple harmonic motion on a frictionless horizontal surface. The time period of oscillation of the particle, in seconds, is

The position and velocity of a particle executing simple harmonic motion at $t = 0$ are given by $3$ cm and $8$ cm/s respectively. If the angular frequency of the particle is $2$ rad/s then the amplitude of oscillation, in centimeters, is

A simple harmonic motion is represented by, $x(t) = \sin^2 \omega t - 2\cos^2 \omega t$. The angular frequency of oscillation is given by

The semi-major axis of the orbit of Saturn is approximately nine times that of Earth. The time period of revolution of Saturn is approximately equal to

Consider a satellite moving in a circular orbit around Earth. If $K$ and $V$ denote its kinetic energy and potential energy respectively then (Choose the convention where $V = 0$ as $r \to \infty$)

A proton moves with a speed of $5.0 \times 10^6$ m/s along the $x$-axis. It enters a region where there is a magnetic field of magnitude $2.0$ Tesla directed at an angle of $30^\circ$ to the $x$-axis and lying in the $xy$ plane. The magnitude of the magnetic force on the proton is

If the cyclotron oscillator frequency is $16$ MHz, then what should be the operating magnetic field for accelerating the proton of mass $1.67 \times 10^{-27}$ kg?}

A long straight wire of radius $R$ carries a steady current, $I_0$, uniformly distributed throughout the cross-section of the wire. The magnetic field at a radial distance $r$ from the center of the wire, in the region $r > R$, is

Two infinitely long parallel plates of equal areas, $6$ cm$^2$, are separated by a distance of $1$ cm. While one of the plates has a charge of $+10$ nC and the other has $-10$ nC. The magnitude of the electric field between the plates, if $\varepsilon_0 = \dfrac{10^{-9}{36\pi}$ F/m, is}

The speed of light in vacuum is equal to

A comet orbits around Sun in an elliptical orbit. Which of the following quantities remains constant during the course of its motion?

Five equal point charges with charge $Q = 10$ nC are located at $x = 2, 4, 5, 10$ and $20$ m. If $\varepsilon_0 = \left[\dfrac{10^{-9}}{36\pi}\right]$ F/m, then the potential at the origin ($x = 0$) is

The values of the currents $I_1$, $I_2$, and $I_3$ flowing through the circuit given below is

A charge $Q$ placed at the center of a metallic spherical shell with inner and outer radii $R_1$ and $R_2$ respectively. The normal component of the electric field at any point on the Gaussian surface with radius between $R_1$ and $R_2$ will be

A sphere of radius $R$ has a uniform volume charge density $\rho$. The magnitude of electric field at a distance $r$ from the center of the sphere, where $r > R$, is