IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০২৪-২০২৫

A motorcycle stuntman must jump a 20 m long canyon to safely land to the other end using a 15° ramp. How fast should he travel to safely cross that canyon?

Persons A and B are moving at constant speeds of 5 ms−1 ^{-1} and 4 ms−1 ^{-1}, respectively as shown in the figure. Find out the relative velocity of B with respect to A.

A 1 kg block of ice at 0°C is thrown into a lake whose temperature is 10°C. Calculate the change in entropy in this case. [Latent heat of ice: 336000 J kg−1 ^{-1}, Specific heat of water: 4200 J kg−1 ^{-1}K−1 ^{-1}].

A Carnot engine takes 1000 kilo calories of heat from a reservoir at 627°C and exhausts it to a sink at 27°C. How much work does it perform?

Charges of 2 μC \mu\text{C} , 3 μC \mu\text{C} , 4 μC \mu\text{C} and 5 μC \mu\text{C} are placed at four corners of a square ABCD respectively having each side 4.5 \sqrt{4.5} m. Find the net force at the center of the square where a 1 μC \mu\text{C} is placed.

Find the charge stored in the equivalent capacitance of the following circuit.

A galvanometer of 15 Ω \Omega resistance (as shown in the figure) is connected across BD. Calculate the current through the galvanometer when a potential difference of 10 V is maintained across AC.

A beam of light consisting of two wavelengths 560 nm and 420 nm is used to obtain interference fringes in a Young's double slit experiment. Find the least distance from the central maximum, where the bright fringes due to both the wavelengths coincide. The distance between the two slits 4.0 mm and the screen is placed 1.0 m away from the slits.

The lifetime of a certain elementary particle is 1.00×10−7s 1.00 \times 10^{-7}\text{s} when measured rest. How far can it travel at 0.99c 0.99\text{c} ? [c = speed of light]

Find the output Boolean expression of the following circuit.

Steam at 100°C is passed into one end of a 10 mm thick and 200 cm2 \text{cm}^2 area copper cylinder. Water at 100°C is collected at the rate of 150 g min−1 \text{g min}^{-1} at the other end of the cylinder. Find the temperature of the outer surface if the conductivity of copper is 0.8 cal s−1cm−1°C \text{cal s}^{-1} \text{cm}^{-1}\text{°C} and the latent heat of steam is 540 cal g−1 \text{cal g}^{-1} .

A drone is flying in the direction from IUT (I) to Uttara (U) to Tangail (T) and back to IUT forming a triangle. The co-ordinate of IUT and Uttara is (1, 2, 2) and (2, -1, 3). The vector from Uttara to Tangail can be represented by −4i−2j+2k -4\text{i} - 2\text{j} + 2\text{k} . What angle the drone will make while travelling from Uttara to Tangail to IUT?

An F-35 fighter jet with mass 13000 kg is flying in a straight line with uniform velocity in a 13×105 13 \times 10^5 N air friction. After 10 minutes of flying, it enters into a vacuum region. What will be the change of velocity of the jet after 10 seconds of entering the vacuum region.

A stone of mass 100 gm is thrown with a velocity of 9.8 ms−1 \text{ms}^{-1} from the bottom of a 2 storied building and it barely reached the roof of that building. If it is allowed to fall freely from there, what will be the energy of the stone while crossing the window of the first floor?

Jupiter's mass and radius is respectively 100 times and 64 times more than that of Mars while Mars mass and radius is respectively 16 times and 9 times less than that of earth. If the escape velocity of earth is 11.2 kms−1 \text{kms}^{-1} , what is the escape velocity of Jupiter?

If Cu density at room temperature is 9 gm/cc \text{gm/cc} , what will be its density at 5×10−8Nm−2 5 \times 10^{-8} \text{Nm}^{-2} pressure where its compressibility is 5×10−10m2N−1 5 \times 10^{-10} \text{m}^2\text{N}^{-1} ?

Salam is using a lift to go to his office where the combined weight of the lift is 5×106 5 \times 10^6 gm. The lift is suspended by a wire of 4 cm diameter. What is the maximum acceleration of the lift which can break the wire, where the breaking stress of the wire is 7.96×107N/m2 7.96 \times 10^7 \text{N/m}^2 ?

What is the time period of this whole system?

The temperature of a cubicle with height of 300 cm increases from 7°C to 27°C from night to day time. If there are 6.023×1025 6.023 \times 10^{25} number of molecules of gas available inside that cubicle, what will be the change in pressure due to temperature variation?

A polyatomic gas maintains a volume of 5 liters at a pressure of 2 atm with Temperature = 300°K. After adiabatic compression, the volume of the gas becomes 1 liter. What is the ratio of final temperature and final pressure?

Find the potential at point B

There are five electric bulbs with 100 watts 220 volt each and 2 fans with 150 watts 220 volt each in a house. If the voltage variation remains within ±5% \pm 5% , what will be the variation in number of unit usage for 1 hour?

A space ship travels to a star 9 light-years away at 0.8c 0.8\text{c} and comes back. How much time passes on the space-ship during the journey (as measured by an astronaut)?

After 5000 years, if a radioactive material becomes 1/32th part then how much time does it require to decay 87.5% from its initial content?

A dc voltage source of 12 V is connected in series with 3 resistors of 3 Ω \Omega , 4 Ω \Omega and 5 Ω \Omega one by one. 3 Ω \Omega resistor is connected with the positive side of the voltage source. An ideal diode is connected in parallel across 4 Ω \Omega resistor with anode side in 3 Ω \Omega resistor direction. What will be the voltage drop across 5 Ω \Omega resistor?

If the emitter current and collector current is 11.3 mA and 10.8 mA respectively, what is the value of β/α \beta/\alpha ?

A body of mass of 250 g is in simple harmonic motion. When the displacement of the body from its mid position is 0.15 m, the restoring force acting on it is 0.4 N. What is the time period of oscillation?

A tuning fork is in resonance with a stretched string of 80 cm length. If the length of the wire is decreased by 5 cm, then frequency of the string increases by 8 Hz. What is the frequency of the tuning fork?

If the volume of an air bubble becomes thrice on the surface of water while coming from the bottom of a lake what is the depth of the lake if the atmospheric pressure is 1.013×105 1.013 \times 10^5 Pa.

A 50 turns rectangular coil has length of 0.25 m and width of 0.2 m. If the coil carries current of 4A and is placed in a uniform magnetic field of 0.2 T, what magnitude of torque will act on the coil?

A coil of resistance of 5 Ω \Omega is connected to a battery of 120V. If the constant current of 20A in the circuit drops to 0 in 0.04 second, find the self-inductance of the coil.

A ray of light is incident perpendicularly on one surface of a glass prism having refractive index of 1.5 and is emitted just touching the body of the second surface of the prism. Calculate the angle of prism.

Interference fringes are produced on a screen at a distance of 1.50 m from two slits having separation of 0.6×10−3 0.6 \times 10^{-3} . If the width of interference fringe is 1.5×10−3 1.5 \times 10^{-3} , determine the wavelength of light.

The mass of a star is 6 M0 \text{M}_0 . If the star becomes a black hole, what will be its Schwarzschild or critical radius. [The mass of sun M0=1.99×1030 \text{M}_0 = 1.99 \times 10^{30} kg]

Find out the source voltage magnitude Vs for the given circuit.

Given this reaction that occurs in plants: 6CO2+6H2O→C6H12O6+6O2 6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2 . If 54 grams of water are consumed by the plant, how many grams C6H12O6 C_6H_{12}O_6 (molar mass is 180 grams/mole) can be made? Assume an unlimited supply of carbon dioxide for the plant to consume as well.

A titration is set up so that 40 mL of 1.0 M NaOH are titrated with 2.0 M HCl. If the initial reading of the meniscus of the acid's burette is 3.15 mL, what will the final burette reading be?

What is the pH of a 0.1 M acid solution where the acid has a Ka K_a of 1×10−5 1 \times 10^{-5} ?

Which pair below represents isomers of the same compound?

An ester can be prepared by the reaction of-

How many pi bonds are there in a molecule of N≡C−CH2−CH2−CO−NH−CH=CH2 N \equiv C - CH_2 - CH_2 - CO - NH - CH = CH_2 ?

What is the formation enthalpy of acetylene? If the combustion enthalpies of carbon, hydrogen and acetylene are −394 kJ -394 \text{ kJ} , −286 kJ -286 \text{ kJ} and −1304 kJ -1304 \text{ kJ} , respectively.

Which one of the following statements is incorrect?

If 160 mA of current is passed through a solution of copper sulphate for 40 min. What amount of copper will be deposited?

If PO43− PO_4^{3-} ion is added in an aqueous solution of AgNO3 AgNO_3 (concentration 0.1M), then at what concentration of PO43− PO_4^{3-} Ag3PO4 Ag_3PO_4 starts to form precipitates? Ksp(Ag3PO4)=1.3×10−20 K_{sp}(Ag_3PO_4) = 1.3 \times 10^{-20} .

Which of the following reaction is incorrect?

0.01 M H2SO4 0.01 \text{ M } H_2SO_4 , 0.01 M HNO3 0.01 \text{ M } HNO_3 and 0.02 M HCl 0.02 \text{ M } HCl solution of the same volume has been mixed together. What will be the pH value of the acid mixture?

A person inhales 500 mg of air once. If the air contains 20% (weight) of oxygen, then how many oxygen atoms does he take in?

In an aqueous solution of CaF2 CaF_2 , the concentration of F− F^- ion is 6.55×10−3 gL−1 6.55 \times 10^{-3} \text{ gL}^{-1} , what is the solubility product of CaF2 CaF_2 ?

The wavelength of a red color band Lithium molecules is 671nm. What is the photon energy of this light wave?