IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০২২-২০২৩

An irregularly shaped object 10 m long is placed with each end on two nearby scales. If the scale on the right reads 94 N and the scale on the left reads 60 N , how far from the lef is the object's center of gravity? (1/se acceleration due to gravity, g= \mathrm{g}= 9.8 ms−2) \left.9.8 \mathrm{~ms}^{-2}\right)

The masses of the blocks and the velocities before and after a collision are (directions are indicated by the arrows)In this situation, the collision is:

An electron was accelerated from rest through a potential difference of 990 V . What is its speed? (Use the mass of an electron =9.11×10−31 kg =9.11 \times 10^{-31} \mathrm{~kg} . the mass of proton =1.67×10−27 kg =1.67 \times 10^{-27} \mathrm{~kg} and the charge of an electron =1.6×10−19C =1.6 \times 10^{-19} \mathrm{C} ).

A charged particle is observed travelling in a circular path in a uniform magnetic field. If the particle had been travelling twice as fast, the radius of the circular path would be:

Two bodies of masses 40 kg and 60 kg collide with each other when coming from opposite sides with velocities of 10 ms−110\ {\rm ms}^{-1} and 5 ms−15\ {\rm ms}^{-1} respectively and then get stuck and move together. What will be the velocity of the two bodies after collision?

A particle moves with simple harmonic motion in a straight line. In first τs \tau \mathrm{s} , after starting from rest it travels a distance a, and in next τ \tau s it travels 2 a , in same direction, then:

Two identical wires A and B, each of length ' l l ', carry the same current I. Wire A is bent into a circle of radius R and wire B is bent to form a square of side ' a a '. If BA B_{A} and BB B_{B} are the values of magnetic field at the centers of the circle and square respectively, then the ratio BABB \frac{\mathrm{B}{\mathrm{A}}}{\mathrm{B}{\mathrm{B}}} is:

When a foice i⃗=(i^−3j^+2k^)N \vec{i}=(\hat{i}-3 \hat{j}+2 \hat{k}) N acts on a particle its displacement occurs d→=(2i^+dyj^−k). \overrightarrow{\mathrm{d}}=\left(2 \hat{\mathrm{i}}+\mathrm{d}{y} \hat{\mathrm{j}}- k\right). m m . For what value of dy d{y} , the work done would be zero?

A body was at rest. A force of 16 N acted upon it for 5 s and stopped. After that, the body travelled 52 m distance in 6 s . What is the mass of the body?

The mass of a cylinder is 50 kg and its radius is 0.20 m. The moment of inertia of the cylinder about its axis is 1.0kgm2 1.0 \mathrm{kgm}^{2} . What is the total kinetic energy of the cylinder when it rolls at a horizontal velocity 2 ms−1 2 \mathrm{~ms}^{-1} ?

The ratio of the radii of the orbits around the sun of venus and earth is 54:75 54: 75 . If 365 days make a year in the earth, how many days will make a year in the venus?

The Young's modulus of the material of the wire of diameter 5.0×10−4 m 5.0 \times 10^{-4} \mathrm{~m} is 9.0×1010Nm−2 9.0 \times 10^{10} \mathrm{Nm}^{-2} . To increase its length by 5% 5 % , how much force needs to apply?

The resistances of a resistance thermometer at 0∘C 0^{\circ} \mathrm{C} and 100∘C 100^{\circ} \mathrm{C} be respectively 10Ω 10 \Omega and 25Ω 25 \Omega . When the thermometer is placed in an oven, the resistance becomes 38Ω 38 \Omega . Find the temperature of the oven.

8.4×104 J 8.4 \times 10^{4} \mathrm{~J} heat energy is supplied to a Carnot engine working between 27∘C 27^{\circ} \mathrm{C} and 160∘C 160^{\circ} \mathrm{C} . How much heat energy will be converted into work by the engine?

What is the electric potential at the mid-point of the line connecting two charges of magnitudes +1.00μC +1.00 \mu \mathrm{C} and −5.00μC -5.00 \mu \mathrm{C} and separated by a distance of 1 m ?

The emf and internal resistance of a cell are 2 V and 0.5Ω 0.5 \Omega respectively. It is arranged with 1Ω 1 \Omega , 2Ω 2 \Omega , and 4Ω 4 \Omega resistance in a parallel combination, Find the potential difference of the two ends of middle resistance.

An immersion heater of 100 W can raise the temperature of 1 liter of water from 30∘C 30^{\circ} \mathrm{C} to 40∘C 40^{\circ} \mathrm{C} in 7 minutes. Determine the value of the mechanical equivalent of heat.

The refractive indices of water and diamond are respectively 1.33 and 2.4 . Find the velocity of light in diamond. The velocity of light in water is 2.28×108 ms−1 2.28 \times 10^{8} \mathrm{~ms}^{-1} .

At the age of 25 years an astronaut went to space travel in a spaceship moving with velocity 1.8× 1.8 \times 108 ms−1 10^{8} \mathrm{~ms}^{-1} and he returns to earth after 30 years according to the calendar of the earth. What is his age now?

A piece of radium becomes one-fifth part on radiating radioactive radiation for 5000 years. Find the decay constant of radium.

A uniform hole in a brass plate has a diameter of 1.2 cm at 25∘C 25^{\circ} \mathrm{C} . What is the diameter of the hole when the plate is heated to 475∘C 475^{\circ} \mathrm{C} ? (Use the coefficient of linear thermal expansion for brass = = 19×10−6 K−1 19 \times 10^{-6} \mathrm{~K}^{-1} )

A rocket is launched vertically. In the first 2 seconds after launching, the rocket loses 160 \frac{1}{60} of its weight. The velocity of the gas released from the rocket is 3600 ms−1 3600 \mathrm{~ms}^{-1} . Determine the net acceleration of the rocket. (Assume g= \mathrm{g}= 9.8 ms−2 9.8 \mathrm{~ms}^{-2} )

Two bodies A and B have masses 2 kg and 4 kg respectively, and they are separated by 2 m . On their connecting line, a body C of mass 1 kg is placed so that the gravitational force on C is zero. Determine the distance of C from A . (Ignore gravitational forces with everything else)

A sphere of 10 gm is placed at a height of 1.2 m from the ground. It falls from there (with initial zero velocity) along a slanted piece of wood and its velocity is 4 ms−1 4 \mathrm{~ms}^{-1} when it reaches the ground. Determine the work done by friction as it falls.

A well is filled in with water. Its diameter is 4 m and its depth is 12 m . A pump can evacuate all the water from the well in 20 minutes. Determine the power of the pump.

An object is tied to the end of a spring and it is undergoing simple harmonic motion with an amplitude of 12 cm and a period of 1.7 sec . Determine the maximum acceleration.

A spring has the property that it changes its length by 10 cm if 100 N force is applied to the spring. This spring is used in a test. In this test, an object of 1.5 kg is tied to the spring and it is undergoing a simple harmonic motion. Determine the frequency of the motion in the test.

The volume of a gas is 1.8 m3 1.8 \mathrm{~m}^{3} at a pressure of 105 10^{5} Pa and temperature of 25∘C 25^{\circ} \mathrm{C} . It is compressed in an isothermal process to get a pressure of 5×105 Pa 5 \times 10^{5} \mathrm{~Pa} . Determine the amount of heat released. (Gas constant R=8.134JK−1 mole−1 \mathrm{R}=8.134 \mathrm{JK}^{-1} \mathrm{~mole}^{-1} )

The charges Q Q and 4O 4 O are placed with a distance of 1 m between them. From the charge O O , determine the distance of the point on the connecting line where the electric field intensity is zero.

Two capacitors are connected in series. Their capacitances are 4μ F 4 \mu \mathrm{~F} and 5μ F 5 \mu \mathrm{~F} . If they are connected to a source of 900 volts, determine the stored energy.

Determine the logic gate equivalent to the following combination.

Determine the current through 5Ω 5 \Omega resistor

Find the current through 12Ω 12 \Omega resistor.

A 2 V battery is connected between A and B . If the positive terminal is connected to A , the current through the battery is I1 I_{1} . If the negative terminal is connected to A , the current through the battery is I2 \mathrm{I}{2} , Determine the difference between the values of I1 \mathrm{I}{1} and I2 \mathrm{I}_{2} . (Assume diodes are ideal)

200 mL 0.2 M KOH and 50 mL0.3MH2SO4 50 \mathrm{~mL} 0.3 \mathrm{M} \mathrm{H}{2} \mathrm{SO}{4} were mixed in a vessel. Calculate the pH of the mixture.

According to the following figure:(i) Gas A has a molecular mass of 82.0 g/mol 82.0 \mathrm{~g} / \mathrm{mol} .(ii) Gas B has a molecular mass of 72.84 g/mol 72.84 \mathrm{~g} / \mathrm{mol} .(iii) Gas B has a higher diffusion rate than Gas A .Which of the following is correct?

The solubility product of AgCl is 1.0×10−10 1.0 \times 10^{-10} at 25∘C 25^{\circ} \mathrm{C} . What will be its solubility in 0.1 M NaCl solution at this temperature?

Which of the following statements is correct?

Which of the following reactions is wrong?

In the reaction 4Fe+3O2→4Fe3++602− 4 \mathrm{Fe}+3 \mathrm{O}_{2} \rightarrow 4 \mathrm{Fe}^{3+}+60^{2-} which one of the following statements is incorrect?

When 0.75 A electricity passed through a metal salt solution for 45 min , then 0.6662 gm of cathode increased. If the valency of metal is 2.0 then what is the atomic mass of that metal?

Nitrogen reacts with hydrogen to form ammonia.N2( g)+3H2( g)=2NH3( g) \mathrm{N}{2}(\mathrm{~g})+3 \mathrm{H}{2}(\mathrm{~g})=2 \mathrm{NH}{3}(\mathrm{~g}) The pressure exerted by this mixture of hydrogen, nitrogen and ammonia at constant temperature is 2.000×107 Pa 2.000 \times 10^{7} \mathrm{~Pa} . Under these conditions, the partial pressure of nitrogen is 1.490×107 Pa 1.490 \times 10^{7} \mathrm{~Pa} , and the partial pressure of hydrogen is 0.400× 0.400 \times 107 Pa 10^{7} \mathrm{~Pa} . Calculate the value of Kp \mathrm{K}{\mathrm{p}} for this reaction.

When chlorine and hot concentrated aqueous sodium hydroxide are mixed the following reaction take place: 3Cl2(aq)+6NaOH(aq)→ 3 \mathrm{Cl}{2}(\mathrm{aq})+6 \mathrm{NaOH}(\mathrm{aq}) \rightarrow 5NaCl(aq)+NaClO3(aq)+3H2O(l) 5 \mathrm{NaCl}(\mathrm{aq})+\mathrm{NaClO}{3}(\mathrm{aq})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{l}) The name of the above rection is:

Which of the following elements has the same number of neutrons as Nickel-58?

What volume of 0.1 M hydrochlonic acid ( HCl ) is needed to react with 25 mL of 0.2 M sodiom hydroxide ( NaOH )?

R−OH+HCl→ZnCl2X+H2O \mathrm{R}-\mathrm{OH}+\mathrm{HCl} \xrightarrow{\mathrm{ZnCl}{2}} \mathrm{X}+\mathrm{H}{2} \mathrm{O} ; X X compound is(i) Volatile(ii) Liquid at room temperature(iii) Harmful to bodyWhich of the following is correct?

Which of the following is the product of the following reaction: CH3CH2CH2OH+H2SO4 \mathrm{CH}{3} \mathrm{CH}{2} \mathrm{CH}{2} \mathrm{OH}+\mathrm{H}{2} \mathrm{SO}_{4} ?

How many moles of CO2 \mathrm{CO}{2} are produced when 2 moles of C3H8 \mathrm{C}{3} \mathrm{H}{8} react with excess O2 \mathrm{O}{2} in the following reaction? C3H8+5O2→3CO2+4H2O \mathrm{C}{3} \mathrm{H}{8}+5 \mathrm{O}{2} \rightarrow 3 \mathrm{CO}{2}+4 \mathrm{H}_{2} \mathrm{O}

In a nickel-cadmium battery, which of the following reactions occurs at the anode during discharge?