List of top Questions asked in KEAM- 2019

Consider two parallel current carrying conductors separated by a distance. Which one of the following statements is true?

NO$^+$ has bond order

Which of the following sets has Lewis acid behaviour for all the components?

A bat emits an ultrasonic sound wave at $33.0$ kHz and receives an echo $0.1$ s later. What is the distance of the bat from the object-producing echo? (Speed of sound in air is $330$ m/s)

The following figure is the combination of logic gates. The inputs are A and B. The output is C. Which one of the following choices gives the correct matching?

A wave along a string has the following equation $y = 0.05 \sin(28t - 2.0x)$ m (where $t$ is in seconds and $x$ is in meters). What are the amplitude, frequency and wavelength of the wave?

A train sounds its whistle as it approaches an observer standing at a point near the track. The observer measures a frequency of $216$ Hz as the train approaches and a frequency of $184$ Hz as the train leaves. What is the frequency of its whistle?

A particle of mass \( m \) and charge \( q \) with an initial velocity \( \vec{v} \) is subjected to a uniform magnetic field \( \vec{B} \) along the vertical direction. The particle will

Find the voltage and current passing through the resistor $R_2$ shown in the following circuit

A body undergoing simple harmonic motion has a maximum acceleration of \( 8\pi \text{ m/s}^2 \) and maximum speed of \( 1.6 \text{ m/s} \). What is the time period \( T \)?

Consider a driven damped mechanical oscillator is in resonance. Which of the following statements is true?

The velocity and acceleration of a particle performing simple harmonic motion have a steady phase relationship. The acceleration shows a phase lead over the velocity in radians of

A circuit is made using $R_1, R_2, R_3, R_4$ and a battery as shown in the following figure. Find the equivalent resistance of the given circuit and the current passing through $R_3$

The resistor $R_1 = 3 \ \Omega$ and $R_2 = 1 \ \Omega$ are connected in parallel to a 20 V battery. Find the heat developed in the resistor $R_1$ in one minute

Find the total capacitance and total charge on the capacitors

A point dipole with dipole moment, \( \vec{p} = p_0 \hat{k} \), is kept at the origin. An external electric field given by, \( \vec{E} = E_0(2\hat{i} - 3\hat{j} + 4\hat{k}) \), is applied on it. Which one of the following statements is true?

Four point charges (with equal magnitude of charge of \( 5 \text{ C} \); but with different signs) are placed at four corners of a square of side \( 10 \text{ m} \). Assuming the square is centered at the origin, the potential and the magnitude of electric field at the origin are:

Two masses connected in series with two massless strings are hanging from a support as shown in the figure. Find the tension in the upper string

A block of mass 20 kg is suspended through two spring balances with negligible mass as shown in figure. What will be the readings in the upper and lower balance respectively?

The distance between two charges \( q_1 = +2 \,\mu\text{C} \) and \( q_2 = +8 \,\mu\text{C} \) is \( 15 \text{ cm} \). Calculate the distance from the charge \( q_1 \) to the points on the line segment joining the two charges where the electric field is zero.

An electron, placed in an electric field, experiences a force \( F \) of \( 1 \text{ N} \). What are the magnitude and direction of the electric field \( E \) at the point where the electron is located (\( e = 1.6 \times 10^{-19} \text{ C} \))?

A vehicle moving at 36 km/hr is to be stopped by applying brakes in the next 5 m. If the vehicle weighs 2000 kg, determine the average force that must be applied on it

A mass \( m \), suspended vertically by a massless ideal spring with spring constant \( k \), is at rest. The mass is displaced upward by a height \( h \). When released, the kinetic energy of the mass will be proportional to (Neglecting air resistance)

A ball of mass \( m \) is projected upward with a speed \( v_0 \). The speed at a height \( h \) is (Neglecting air resistance)

Instantaneous power delivered to a damped harmonic oscillator (natural frequency is \( \omega_0 \)) by an external periodic force (driving frequency \( \omega \)) under steady state conditions is