Islamic University of Technology ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১৯-২০২০

In a still water lake fish emits a 2.0m3 bubble at a depth of 1.5 m. What is the volume of the bubble when it reaches the surface of the lake. Atmospheric pressure is 100kPa. Assume that the temperature remains constant.

What will be the density of $C O_{2}$   gas at 100°C temperature and 1.0526 atm pressure?

A car of mass 1.5 ton is pushed horizontally from the edge of a cliff of height 500m. The velocity of the car is 15 m/s at the edge, find the time it hits the ground.

Forces 5N, 7N and 8N are making balance acting on a body. What is the angle between the forces 5N and 8N?

A box has edges from (0,0,0) to (3,1,3) and (1,3,1) and (1,1,3). Find its volume.

If $\vec{A}=\hat{i}-\hat{j}+\hat{k}$ and $\vec{B}=\sqrt{3} \hat{i}+3 \hat{j}-2 \hat{k}$ are the adjacent sides of a triangle, what is the area of the triangle in square unit?

A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in $\frac{T}{3}$ seconds from the ground?

A woodpecker is pecking a tree. Its head comes to a stop from an initial velocity of 0.600m/s at a distance of only 4.00 mm. What is the magnitude of acceleration?

Doppler ultrasound is used to measure the speed of blood flow. The reflected found interferes with the emitted sound ,producing beats, If  the speed of red blood cells is 0.1m/s, the ultrasound frequency is 5.0MHz and the speed of sound in blood is 1570m/s.What is beat frequency?

A bird sings in a meadow can be considered as an ideal point source of sound.When you double your distance from the position of the bird,how much does the sound intensity level drop?

A charge Q is placed at each of the opposite corners of a square. A charge q is placed at each of the other two corners. If the net electrical force on Q is zero, $\frac{Q}{q}$ then equals

The resistance of a bulb filament is 100Ω  at temperature of 100°C. If its temperature coefficient of resistance be 0.005 per °C, its resistance will be 200Ω  at a temperature of

The half life of a radioactive substance is 20 minutes. The approximate time interval (t2 - t₁) between the time t₂ when of $\frac{2}{3}$ of it has decayed and the time t1 and $\frac{1}{3}$   of it had decayed is:

A student wants to cool 250g of diet 7-up initially at 27 degree celcious by adding ice initially at -18 degree C. How much ice should he add so that the final temperature will be 0 degree C with all the ice melted?[Assume that the container is not taking any heat and specific heat of 7 up 4186 J/K.degree Celcious.specific heat of ice =2000 J/K degree Celcious and the latent heat of ice =3.34*105]

A developed country generates about 5.0*1016j of electrical energy a day. If this energy is generated by a power plant with an average efficiency of 30%, how much heat is dumped into the environment each day?

An automobile starter motor is connected to a 12.0 V battery. When the starter is activated it draws 140A of current, and the battery voltage drops to 8.5 V.What is the battery's internal resistance?

Bangladesh uses $1.2 \times 10^{17} \mathrm{~J}$ of electrical energy per year.If all this energy came from the fission of ${ }^{235} \mathrm{U}$ at Ruppur nuclear power plant which releases $200 \mathrm{MeV}$ per fission event .How many killogramof ${ }^{235} \mathrm{U}$ would be used per year?$\left(1 \mathrm{amu}=1.6605 * 10^{-27} \mathrm{~kg}\right)$

A transformer of a small electrical device takes an AC voltage of 220 V as its input and supplies 12.0 V to the device. The primary winding of the transformer has 3300 turns. When the device is operating, it consumes 5.0 W. What is the current taken from the 220 V line? Voltages are in RMS value

A bipolar junction transistor is used as a common emitter amplifier. If base current is neglected. What will be the of α?

Without repeating any digits, how many numbers can be formed using the digits {0,2,5,7,9} which are greater than 6000?

The flux linked with a coil at any instant 't' is given by $\phi$ =10t2-50t+250.The induced emf at t=3s is-

The image of an illuminated square is obtained on a screen with the help of a converging lens. The distance of the square from the lens is 40 cm. The area of the image is 9 times that of the square. The focal length of the lens is---

An electron in the beam of a TV picture tube is accelerated through a potential difference of 2.00kV. It then passes into a magnetic field prependicular to its path,where it moves in a circular arc of diameter 0.36m.What is the magnitude of this magnetic field?

The focal length of a digital camera is 7.50 cm.It focuses on an object 1.85m tall which is 4.25 m away from the lens.How far must the lens be from the sensor array?

Which of the following molecule has tetrahedal shape?

For the reaction $N_{2}(g)+3 H_{2}(g)=2 NH_{3}(g), \mathbf{K}_{\mathrm{p}}$ is $4.3 \times 10^{-4}$ at $375^{\circ} \mathrm{C}$ . Calculate $\mathbf{K}_{c^{}}$

Which is not a limitation of Bohrs atom model?

The concentration of hydronium ion in a water solution is 2.5x10-3 M. The solution will be-

How many grams of sodium acetate is to be mixed with 1.0 $d m^{3}$ 0.4 molar acetic acid solution to have hydrogen ion concentration, $\left [ H^{+} \right ] = 2 × 10^{- 4} g$ ion $d m^{- 3}$ in the solution? $K_{a} = 1.8 × 10^{- 5} ]$

Which on of the following properties is not the general property of p-block element?

The heat of combustion of ethane is -337 kcal at 25°C, the heat of the reaction when 3g of ethane is burnt completely is_

To decompose of 50% reactant of a first order needs 400 sec. After the initiation of the reaction, when one eighth of the reactant remain undecomposed?

In the decomposition of hydrogen peroxide, phosphoric acid acts as a-

Which is the main product following the reaction?

Which of the following statement is incorrect?

Which reaction is not possible?

Polymerization reaction is not possible from which of the followings?

The statements above,if true, best support which is following as conclusion?