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AP EAPCET
List of top Questions asked in AP EAPCET
The wave number of a photon is \( 10^4 \, cm^{-1} \). What is its energy in joules? Given: \[ h = 6.6 \times 10^{-34} \, Js, \quad c = 3 \times 10^{10} \, cm/s, \quad \tilde{\nu} = 10^4 \, cm^{-1} \]
AP EAPCET - 2023
AP EAPCET
Chemistry
Atomic Structure
The radius of the path of a charged particle of mass \( m \) and charge \( q \) moving with a speed \( v \) in a magnetic field \( B \) is given by:
AP EAPCET - 2023
AP EAPCET
Physics
Motional Electromotive Force
If the radius of the Earth is \( 6.4 \times 10^6 \, m \) and its magnetic dipole moment is \( 1.3 \times 10^{23} \, Am^2 \), then the magnetic field at the equator is:
AP EAPCET - 2023
AP EAPCET
Physics
The Earth’s Magnetism
A changing current in a coil can induce an emf in a nearby coil. This process is:
AP EAPCET - 2023
AP EAPCET
Physics
Electromagnetic induction
The resistance \( R \), the inductive reactance \( X_L \), and the capacitive reactance \( X_C \) of a series LCR circuit connected to an ac source are related by \( R = 0.6 X_L = 3 X_C \). The impedance of the circuit is:
AP EAPCET - 2023
AP EAPCET
Physics
LCR Circuit
The variation of charge \( q \) with time \( t \) on a parallel plate capacitor is given by \( q = q_0 \cos(\omega t) \). The displacement current through the capacitor is:
AP EAPCET - 2023
AP EAPCET
Physics
Displacement current
The de Broglie wavelength of an electron in the first orbit of hydrogen atom is:
AP EAPCET - 2023
AP EAPCET
Physics
de broglie hypothesis
The speed of an electron in an orbit of hydrogen atom is \( \frac{1}{274} \) times the speed of light in vacuum. The kinetic energy of the electron in the orbit is:
AP EAPCET - 2023
AP EAPCET
Physics
Displacement current
The resultant amplitude of superposition of two waves \( y_1 = a \cos(\omega t) \) and \( y_2 = a \cos(\omega t + \phi) \) is:
AP EAPCET - 2023
AP EAPCET
Physics
Optics
The magnitude of electric field intensity \( E \) is such that, an electron placed in it would experience an electrical force equal to its weight. Then the value of \( E \) is:
AP EAPCET - 2023
AP EAPCET
Physics
Electric Field
A particle of charge \( q \) is shot with speed \( V \) towards another fixed particle of charge \( Q \). It reaches the closest distance \( r \) and then returns. If \( q \) were shot with speed \( 2V \), then the closest distance of approach of \( Q \) is:
AP EAPCET - 2023
AP EAPCET
Physics
Electrostatics
Two capacitors of capacities 10 µF and 20 µF are connected in series across a 200 V source. The charged capacitors are disconnected from the source and reconnected in parallel with their positive plates together. The potential difference across each capacitor is:
AP EAPCET - 2023
AP EAPCET
Physics
Capacitors and Capacitance
The charge flowing through a resistance \( R \) varies with time as \( q = at - bt^2 \), where \( a, b \) are positive constants. The total heat produced in \( R \) is:
AP EAPCET - 2023
AP EAPCET
Physics
Heat Transfer
In the given circuit, the reading of the ammeter is:
AP EAPCET - 2023
AP EAPCET
Physics
Kirchhoff's Laws
A magnetic field of 1 T is acting on a wire carrying a current of 1 A so that the wire is at rest in air. If the mass of the wire is 100 g, then the length of the wire is:
AP EAPCET - 2023
AP EAPCET
Physics
Magnetic Force
Two identical balls \( P \) and \( Q \) are moving with the same velocity. If the velocity of \( Q \) is reduced to zero and that of \( P \) is reduced to half, the ratio of change in temperatures of \( P \) to \( Q \) is:
AP EAPCET - 2023
AP EAPCET
Physics
Thermodynamics
A solid cylinder of length \( L \) and diameter \( d \), made of a material with specific heat \( s \), is rotating about its axis with \( n \) rotations per second. When stopped, 50% of its energy is used in rising its temperature. The change in its temperature is:
AP EAPCET - 2023
AP EAPCET
Physics
Rotational motion
The external work done when air expands from 10 litres to 15 litres at a pressure of 2 atm is:
AP EAPCET - 2023
AP EAPCET
Physics
Thermodynamics
If the temperature of a gas is increased from 27°C to 927°C, the rms speed is:
AP EAPCET - 2023
AP EAPCET
Physics
The Kinetic Theory of Gases
The superposition takes place between two waves of frequency \( f \) and amplitude \( a \). The resultant intensity is directly proportional to:
AP EAPCET - 2023
AP EAPCET
Physics
wave interference
A thin oil layer floats on water. A ray of light making an angle of incidence \( 45^\circ \) shines on the oil layer. The angle of refraction of light ray in water is:
AP EAPCET - 2023
AP EAPCET
Physics
Optics
The translational kinetic energy of a circular disc of mass 1.5 kg rolling on a horizontal surface without slipping is 24 J. The total kinetic energy of the disc is:
AP EAPCET - 2023
AP EAPCET
Physics
Rotational motion
A simple pendulum is suspended in a car moving on a circular track of radius \( R \) with a uniform speed of \( \sqrt{1.732 g R} \). The pendulum is making small oscillations in a radial direction about its equilibrium position with a time period \( T \). If the car is at rest, the time period of the pendulum is:
AP EAPCET - 2023
AP EAPCET
Physics
Pendulums
The equation of a particle executing simple harmonic motion is \( x = a \sin(\omega t) + b \cos(\omega t) \). The maximum velocity of the particle is:
AP EAPCET - 2023
AP EAPCET
Physics
simple harmonic motion
A satellite of mass 500 kg is in an orbit around the earth at a distance of \( 6.67 \times 10^6 \, m \) from the center of the Earth. The speed of the satellite is:
AP EAPCET - 2023
AP EAPCET
Physics
Rotational motion
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