UNI Admission Exam (Peru) · Physics and Chemistry

Physics and Chemistry Problems

87 practice questions, each with the answer and an explanation.

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A car starts from rest and accelerates uniformly at $3 m/ s^{2}$ for $8$ s. Its final speed is:
A stone is dropped from a height of $45$ m. Taking $g = 10 m/ s^{2}$ and ignoring air, how long does it take to land?
A ball is thrown horizontally at $20 m/s$ from a cliff $80$ m high ( $g = 10 m/ s^{2}$ ). How far from the base of the cliff does it land?
A $5$ kg block is pulled by a $30$ N force to the right and a $10$ N force to the left. Its acceleration is:
A block slides down a frictionless incline of $3 0^{\circ}$ . With $g = 10 m/ s^{2}$ , its acceleration is:
A $2$ kg object moving at $6$ m/s is stopped by friction over $9$ m. The average friction force is:
A $3$ kg trolley moving at $4$ m/s collides with a $1$ kg trolley at rest and they stick together. How much kinetic energy is lost?
A spring of constant $200 N/m$ is compressed by $0.1$ m. The elastic energy stored is:
A motor lifts a $500$ kg load by $10$ m in $20$ s at constant speed ( $g = 10 m/ s^{2}$ ). The useful power is:
A $1000$ kg car rounds a flat circular bend of radius $50$ m at $10$ m/s. The centripetal force needed is:
How much heat is needed to warm $2$ kg of water from $2 0^{\circ}$ C to $7 0^{\circ}$ C? (specific heat $4200 J k g^{- 1} K^{- 1}$ )
$100$ g of water at $8 0^{\circ}$ C is mixed with $300$ g of water at $2 0^{\circ}$ C in an insulated container. The final temperature is:
A gas at $2$ atm occupies $6$ L at constant temperature. If it is compressed to $3$ L, its pressure becomes:
Two resistors of $6 Ω$ and $3 Ω$ are connected in parallel. The equivalent resistance is:
A $12$ V battery of negligible resistance feeds a $2 Ω$ resistor in series with a parallel pair of $6 Ω$ and $3 Ω$ . The current in the $3 Ω$ resistor is:
A bulb is marked $100$ W at $220$ V. Its resistance when operating is:
Two point charges of $2 μ$ C and $3 μ$ C are $0.3$ m apart in air ( $k = 9 \times 1 0^{9} N m^{2} / C^{2}$ ). The force between them is:
A wave has frequency $50$ Hz and wavelength $4$ m. Its speed is:
An object is $30$ cm in front of a converging lens of focal length $10$ cm. The image forms at:
A $0.5$ m wire carries $4$ A perpendicular to a $0.2$ T field. The magnetic force on the wire is:
How many moles are in $36$ g of water ( $M = 18 g/mol$ )?
In $2 H_{2} + O_{2} \to 2 H_{2} O$ , what mass of water forms from $4$ g of hydrogen (excess oxygen; $H = 1$ , $O = 16$ )?
$5$ mol of $H_{2}$ react with $2$ mol of $O_{2}$ according to $2 H_{2} + O_{2} \to 2 H_{2} O$ . How many moles of water form?
A chlorine atom has atomic number $17$ and mass number $35$ . How many neutrons does it have?
How many valence electrons does a sodium atom ( $Z = 11$ ) have?
Across a period of the periodic table from left to right, atomic radius generally:
$10$ g of $NaOH$ ( $M = 40 g/mol$ ) is dissolved to make $500$ mL of solution. The molarity is:
$100$ mL of $2$ M solution is diluted with water to $500$ mL. The new concentration is:
What is the pH of a $0.01$ M solution of the strong base $NaOH$ at $2 5^{\circ}$ C?
What mass of oxygen gas ( $O_{2}$ , $M = 32 g/mol$ ) is in $11.2$ L at standard temperature and pressure (molar volume $22.4$ L/mol)?
Which statement about $C O_{2}$ is correct?
What is the oxidation number of manganese in $KMn O_{4}$ ?
$F e_{2} O_{3} + 3 CO \to 2 Fe + 3 C O_{2}$ . If $80$ g of $F e_{2} O_{3}$ ( $M = 160 g/mol$ ) reacts with a $75%$ yield of iron ( $Fe = 56$ ), the mass of iron…
For $N_{2} + 3 H_{2} ⇌ 2 N H_{3}$ ( $Δ H < 0$ ), what happens to the equilibrium when the pressure is increased at constant temperature?
$2$ mol of an ideal gas is held at $300$ K in a $24.6$ L container. With $R = 0.082 L atm mo l^{- 1} K^{- 1}$ , the pressure is:
A ball is thrown at 50 m/s at 45° to the ground. Taking $g = 10$ m/s², what is its horizontal range?
A simple pendulum has length 0.9 m. Taking $g = 10$ m/s², what is its time period?
Two point charges of 6 μC and 5 μC are placed 0.3 m apart in air. Taking $k = 9 \times 1 0^{9}$ N m²/C², what is the force between them?
How much energy is stored in a 20 μF capacitor charged to 20 V?
Photons of energy 4 eV fall on a metal of work function 2.5 eV. What is the maximum kinetic energy of the emitted photoelectrons?
An object is placed 60 cm from a convex lens of focal length 15 cm. At what distance from the lens is the image formed?
A gas at 2 atm and volume 12 litres is compressed isothermally to 5 litres. What is the new pressure?
A Carnot engine works between a source at 500 K and a sink at 250 K. What is its efficiency?
A sample has 320 radioactive nuclei. How many remain undecayed after 4 half-lives?
A body starts with a speed of 0 m/s and accelerates uniformly at 5 m/s² over a distance of 10 m. What is its final speed?
A 6 kg trolley moving at 6 m/s collides with a stationary 3 kg trolley and the two stick together. What is their common speed?
A 4 kg mass moves in a horizontal circle of radius 8 m at a speed of 10 m/s. What centripetal force acts on it?
A straight wire of length 0.4 m carries a current of 4 A at right angles to a magnetic field of 1 T. What force acts on the wire?
What is the kinetic energy of a 5 kg body moving at 6 m/s?
A cell of emf 6 V and internal resistance 1 ohm is connected to an external resistor of 8 ohm. What current flows?
How many moles are there in 80 g of NaOH? (molar mass 40 g/mol)
0.2 mol of a solute is dissolved to make 4 litres of solution. What is the molarity?
100 mL of 10 M acid is diluted with water to 500 mL. What is the new molarity?
What is the pH of a strong acid solution whose hydrogen ion concentration is 10⁻⁴ mol/L?
What volume does 0.5 mol of an ideal gas occupy at STP? (molar volume 22.4 L/mol)
How many grams of water form when 40 g of hydrogen burns completely in oxygen? ( $2 H_{2} + O_{2} \to 2 H_{2} O$ ; H = 1, O = 16)
What is the percentage by mass of sodium in NaOH? (molar mass of NaOH = 40, mass of sodium in it = 23)
A projectile is launched at 60 m/s at 30° above the horizontal. Taking $g = 10$ m/s², what is the maximum height it reaches?
A ball is thrown at 40 m/s at 45° to the ground. Taking $g = 10$ m/s², what is its horizontal range?
A simple pendulum has length 0.4 m. Taking $g = 10$ m/s², what is its time period?
Two point charges of 4 μC and 5 μC are placed 0.3 m apart in air. Taking $k = 9 \times 1 0^{9}$ N m²/C², what is the force between them?
How much energy is stored in a 20 μF capacitor charged to 10 V?
Photons of energy 6 eV fall on a metal of work function 1.5 eV. What is the maximum kinetic energy of the emitted photoelectrons?
An object is placed 40 cm from a convex lens of focal length 20 cm. At what distance from the lens is the image formed?
A gas at 3 atm and volume 8 litres is compressed isothermally to 5 litres. What is the new pressure?
A Carnot engine works between a source at 500 K and a sink at 200 K. What is its efficiency?
A sample has 128 radioactive nuclei. How many remain undecayed after 3 half-lives?
A 2 kg mass moves in a horizontal circle of radius 2 m at a speed of 6 m/s. What centripetal force acts on it?
A straight wire of length 0.4 m carries a current of 2 A at right angles to a magnetic field of 2 T. What force acts on the wire?
3 kg of water at 100 °C is mixed with 2 kg of water at 30 °C. What is the final temperature, assuming no heat is lost?
A string of length 2 m and mass per unit length 0.01 kg/m is under a tension of 4 N. What is the fundamental frequency of vibration?
What is the kinetic energy of a 2 kg body moving at 6 m/s?
How many moles are there in 200 g of CaCO3? (molar mass 100 g/mol)
2 mol of a solute is dissolved to make 1 litres of solution. What is the molarity?
100 mL of 2 M acid is diluted with water to 250 mL. What is the new molarity?
What is the pH of a strong acid solution whose hydrogen ion concentration is 10⁻² mol/L?
What volume does 0.25 mol of an ideal gas occupy at STP? (molar volume 22.4 L/mol)
What is the percentage by mass of copper in CuO? (molar mass of CuO = 80, mass of copper in it = 64)
A projectile is launched at 80 m/s at 30° above the horizontal. Taking $g = 10$ m/s², what is the maximum height it reaches?
A ball is thrown at 30 m/s at 45° to the ground. Taking $g = 10$ m/s², what is its horizontal range?
A simple pendulum has length 6.4 m. Taking $g = 10$ m/s², what is its time period?
Two point charges of 1 μC and 5 μC are placed 0.3 m apart in air. Taking $k = 9 \times 1 0^{9}$ N m²/C², what is the force between them?
Capacitors of 12 μF and 3 μF are joined in series. What is the equivalent capacitance?
How much energy is stored in a 10 μF capacitor charged to 20 V?
Photons of energy 5 eV fall on a metal of work function 1.5 eV. What is the maximum kinetic energy of the emitted photoelectrons?
An object is placed 60 cm from a convex lens of focal length 10 cm. At what distance from the lens is the image formed?
A gas at 3 atm and volume 6 litres is compressed isothermally to 2 litres. What is the new pressure?

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