Zagreb MSE Entrance Exam Example – Physics

A certain element has a half-life of one month. What percentage of this element will decay after two months?
- 75%
- 25%
- 50%
- 55%
- 35%
Mass defect of a nucleus ₈O¹⁶ is 2.4·10^-28 kg. What is the binding energy per nucleon for this nucleus? (c = 3·10⁸ m/s, u = 1.66·10^-27 kg)
- 25 MeV
- 2·10^-12 J
- 56.2 MeV
- 8.4 MeV
- 2.7·10^-12 J
Radioactive element _ZX^A decays with one γ decay. Which one of these sentences is correct?
- Its atomic number will change for 1.
- Its atomic number won't change.
- Its atomic number will change for -1.
- Its mass number will change for 1
- Its mass number will change for -1.
Nucleons are:
- electron and positrons
- protons and neutrinos
- protons and neutrons
- neutrinos and positrons
- protons and electrons
In the photoelectric effect, light is considered as:
- a wave
- a particle with mass m
- a massless particle
- an electromagnetic radiation
- both wave and particle
Work function for the barium is 2.48 eV. Calculate the kinetic energy of the ejected electron if the energy of an incident photon is 4 eV.
- 6.4·10^-19 J
- 4 eV
- 1.52 eV
- 2.48 eV
- 6.48 eV
Which of the following electromagnetic waves are sorted in order of the increasing wavelength?
- X-rays, visible light, radio waves
- microwaves, radio waves, infrared radiation
- ultraviolet radiation, X-rays, uu-radiation
- ultraviolet radiation, microwaves, visible light
- infrared radiation, visible light, ultraviolet radiation
Image created by the plane mirror is:
- enlarged and real
- real or virtual depending on the observation angle
- virtual or real depending on the distance from the mirror
- erected and real
- erected and virtual
A 10 cm tall object 25 cm from a converging lens has its real image 50 cm from the lens. The object appears to be:
- 20 cm tall and erect
- 5 cm tall and inverted
- 5 cm tall and erect
- 20 cm tall and inverted
- 50 cm tall and erect
Determine the direction of propagation of a given electromagnetic wave!
- -x
- +x
- -y
- +y
- +z
Soundwave amplitude is increased 4 times. Its intensity will increase:
- 4 times
- 12 times
- 8 times
- 16 times
- 10 times
Complete the statement. Two waves are in the antiphase if ____________.
- the path difference isttt
- the phase difference is
- the phase difference is 225°
- the path difference isttt
- the phase difference istttt
A spring with 7 N/m spring constant is attached to the 0.5 kg mass. If the mass is pulled down slightly and released, what is the period of oscilations?
- 0.84 s
- 3.5 s
- 1.68 s
- 14 s
- 7 s
Capacitor and coil with inductance L= 0.4 H are connected in the oscillating electric circuit. What is the capacitance of capacitor if the period of oscillations equals 0.02 s?
- 2.5 μF
- 3.5 μF
- 25 μF
- 35 μF
- 45 μF
Which one of the following examples does NOT involve electromagnetic induction?
- A wire is dragged through a constant magnetic field.
- A compass points toward the Earth's north geographic pole.
- A coil of wire is rotated in the field of a bar magnet.
- A permanent magnet is dropped vertically into a metal tube.
- Faraday's law defines the average induced electromotive force.
The frequency of the line voltage in the USA is 60 Hz, and the effective voltage is 110 V. How many times during 30 s does the voltage have its amplitude?
- 180
- 3600
- 1800
- 6600
- 60
A solenoid is placed between the poles of a large electromagnet, where the magnetic field is uniform and perpendicular to cross-sectional area of solenoid. The biggest electromotive force is induced if the solenoid is
- rotated by 90°
- rotated by 45°
- rotated by 60°
- moved up or down the field lines
- moved left or right perpendicular to the field lines
Two long parallel wires separated by a distance d, carry equal current as shown. What is the direction of the net magnetic field due to the wires at a point halfway between them?
- directed in the page
- directed out of the page
- directed to the right
- directed to the left
- magnetic field is zero
If passing through a steady uniform magnetic field an electron could change:
- only its magnitude of velocity
- only its direction of velocity
- its value and direction of velocity
- its charge
- its mass
An electron in a cathode ray tube moves constantly in a linear direction and travels a 72 cm distance during a time of 9.6 ns. Compare the electron's velocity with the speed of light in vacuum! (c = 300 000 km/s)
- 1.5 times greater than the c
- 4 times smaller than c
- 4 times greater than c
- is exactly equal to c
- 10 times smaller than the c
A 100 pF parallel-plate capacitor with a 0.5 mm plate spacing is charged by a 12 V battery. What is the electric field between the plates?
- 50 MV/m
- 24 kV/m
- 6 MV/m
- 12 pV
- 3 kV
Which expression is NOT correct for the electric power, P? I - electric current, R - resistance, U - voltage, W - work of electric current, t - time
- P = U I
- P = U²/R
- P = I² R
- P = I R
- P = W / t
Complete the sentence. Each branch of the parallel electric circuit has an equal ____________.
- capacitance
- resistance
- voltage
- current
- power
If the separation of plates of a parallel plate capacitor is halved, and a dielectric is put between the plates its capacitance will:
- increase two times
- decrease two times
- remain same
- increase
- decrease
A 1.2-kilogram and 1.8-kilogram blocks are initially at rest on a frictionless, horizontal surface. When a compressed spring between the blocks is released, the 1.8-kilogram block moves to the right at 2.0 m/s, as shown. What is the speed of the 1.2-kilogram block after the spring is released?
- 1.4 m/s
- 2.0 m/s
- 3.0 m/s
- 3.6 m/s
- 4.5 m/s
An electron travels through free space from point A, which is at +100 V, to point B, which is at +200 V. The kinetic energy of the electron during this trip:
- stays constant
- increases by 1.6x10^-17 J
- decreases by 1.6x10^-17 J
- decreases by 100 V
- increases by 100 V
A gas in a closed container is heated, causing the lid of the container to rise. The gas performs 3 J of work to raise the lid. How much heat energy was added to the system if the final internal energy change equals 15 J?
- 50 J
- 45 J
- 5 J
- 18 J
- 12 J
For steady flow of a ideal fluid through a constriction in a horizontal tube, which one of the following statements is true?
- The mass flow rate is the same inside and outside the constriction.
- The total pressure is higher inside the constriction.
- The total pressure is lower inside the constriction.
- The fluid slows down as it passes through the constriction.
- The volume flow rate changes inside the constriction.
Cylinder is completely filled with water and closed with piston with surface of 2 m². Body with mass of 100 kg is placed on the piston. Calculate the pressure at the depth of 0.5 m. (g= 10 m/s²)
- 5000 Pa
- 5500 Pa
- 100 kPa
- 10⁵ kPa
- 105.5 kPa
Monoatomic ideal gas is expanding isobaric. Calculate the change of internal energy if pressure is 20 kPa and volume change is 20 dm³.
- 100 J
- 200 J
- 400 J
- 500 J
- 600 J
A temperature in a closed container filled with some gas is 100 °C. Calculate approximate temperature required to double the gas pressure inside of the container!
- 200 °C
- 300 °C
- 500 °C
- 700 °C
- 400 °C
Two boys of masses 35 kg and 70 kg are sitting on a long plank suspended in the middle. The heavier boy is sitting 1.5 m away from the fulcrum. Where should the other boy sit on the plank to reach equilibrium?
- 0.75 m on the same side of fulcrum.
- 3.0 m on the same side of fulcrum.
- 0.75 m on the opposite side of fulcrum.
- 1.5 m on the oppositeside of fulcrum.
- 3.0 m on the opposite side of fulcrum.
A Boeing 737 jet plane lands with a speed of 250 km/h and can decelerate at a maximum rate of 5.1 m/s² as it comes to rest. What is the minimum time needed before the plane will come to rest?
- 49 s
- 2 min
- 13.6 s
- 1.3 min
- 10 min
An object is thrown vertically down from the building with an initial velocity v. Determine the graph which represents acceleration of the object.
- graph I
- graph II
- graph III
- graph IV
- graph V
A 981 N force causes a 100 kg student to have an acceleration of 9.81 m/s². This situation is most closely related to Newton's:
- first law of motion
- second law of motion
- third law of motion
- law of universal gravitation
- law of universal force
Two objects of masses 1·10^-3 kg and 4·10^-3 kg have equal momentum. What is the ratio of their kinetic energies?
- 4 : 1
- 2 : 1
- 16 : 1
- 2^1/2 : 1
- 2 : 3
According to Bohr's model of atom, when an electron moves along circular orbit of radius 0.05 nm with linear velocity of 2.2·10⁶ m/s, its period is equal to ________.
- 44·10¹⁵ s
- 47 ps
- 2760 s
- 1.4·10^-16 s
- 1100·10^-19 s
Which of the following physical quantities is NOT a vector?
- velocity
- torque
- acceleration
- electrical current
- magnetic field
The given diagram shows the direction of three co-planar forces of magnitudes 20 N to the East, 40 N to the North, 50 N to the West, applied to a particle at point P. What is the additional force acting on that particle if it maintains the equilibrium?
- 50 N to the West
- 50 N to the South East
- 60 N to the South
- 70 N in plane of paper
- 110 N out of plane of paper
Determine the equation for a function given in the graph below.
- f (x) = tanx
- f (x) = lnx
- f (x) = -1/x
- f (x) = e^-2x
- f (x) = - logx