Islamic University of Technology ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০২১-২০২২

One afternoon Jamil and his friends were Gissing besides a lake . all on a sudden,Jamil notice that a bubble from the bottom of the lake of transparent water was coming out on the surface of the water.after coming to the surface,the bubble took a large size.size on the bubble of the surface was 5 times and atmosphere pressure was $10^{5} N m^{- 2}$ .[density of water,p=1000kgm-3] calculate the depth of the lake.

If $\psi = 2 x y^{4} - x^{2} z$, the determine   △⃗$\vec{\triangle} \psi$ at the point (2,-1,2).

Suppose a soild ball weighs 70N and is hanging from the wall with the help of a string. A horizontal force is applied on the ball make an angle of 30° away from the wall. What is the magnitude of the force F?

Suppose the two diagonals of a rhombus ABCD intersect at point O. Four forces 2N, 3N, 4N and 5N are applied along the sides OA, OB, OC and OD respectively. What is resultant force?

If $\vec{F} = 4 \hat{i} + 3 \hat{j} + \hat{k}$ is the force and $\vec{S} = \hat{i} + 2 \hat{j} + 5 \hat{k}$ is the displacement, then what is the amount of work?

If S=5+10t+t3S=5+10t+t³ then find acceleration after 2 sec (t is in sec and S is in m).

A particle falls freely from a tower for 4 seconds. What is the distance it crosses in the last 2 seconds?[M-2.9, IUT : 2021-22]

According to the kinetic theory of the gas, i. RMS speed, c=√(3RT/M)
ii. Average speed, c̅ =√(8RT/πM)
iii. Most probable speed, ɑ=√(2RT/3M)Which of the following is more appropriate?

A 12V and 50W lamp is connected 12 volt battery with internal resistance 0.1ohm. what is the actual voltage applied to the lamp terminals?

A coal fired power plant that operate that an efficiency of 38% generates 750MW of electric power. How much heat does the plant discharge to the environment in one day.

An old battery with an emf of 9V has terminal voltage of 8.2V when it is supplying a current of 2 mA. What is the internal resistance of the battery?

A thermometer is made using a carbon resistor having a temperature coefficient of resistivity  of -0.00050Ω° $C^{- 1}$ .the variation of resistance with temperature in the linear reason is used to measure the temperature. On a cold winter day when the temperature is 8°C,the resistance is 216.8Ω. what is the temperature on a summer day when the resistance is 213.5Ω?

Suppose that NASA wants to explore a distance solar system 200 light years away from the earth. What will be the again of the astronauts travelling in a spaceship with a speed of 0.99c as measures from the spaceships frame of reference, where c is the speed of light in vacuum?

An npn transistor in CE configuration has ɑ=0.995. what is the base current if the collector current is 4mA?

An automobile battery is charged by a constant current of 2 A for 10 hours. The Terminal voltage of the battery is V=(11+0.5t)V for t $\ge 0$ where time t is in hours. What is the total energy delivered to the battery during this time?

In one cycle a heat engine absorb 500j from a high temperature reservoir and expels 300 j to a low temperature reservoir.if the efficiency of the engine is 60% of the efficiency of carnot engine, what is the ratio of the low temperature to the high temperature in the Carnot engine?[P-2.1, IUT : 2021-22]

গামা রশ্মির ভেদন ক্ষমতা X রশ্মির চেয়ে-

An electron of mass of $9.1 × 10^{-31} k g$   is revolting around a nucleus in a circular path of radius $0.53 × 10^{-10}$ mCalculate the angular velocity of the electron.

There are 10 bulbs of 100W, 5 bulbs of 60W and a heater of 3KW in a house. If the lamps are illuminated or 6 hours and the heater is used for 2 hours daily, how many units of electric energy will be used in the month of January in that house?  [P-2.3, IUT : 2021-22]

The third spectral line is produced by a plane diffraction grating  subtends an angle of diffraction of 30°. If there are $3000\times10^2$ lines per meter length, find the wavelength of light

Man can tolerate minimum light of intensity of 10-10 Wm-2 . If the area of the eye ball is 0.4cm2 and frequency of light s 6×1014 Hz, then how many photos will enter into eyes per second? ( Planck's constant, h =6.63×10-34  Js)

The following table is of which gate? ABX011101110001

When the switch S in the following figure is closed, the reading of the voltmeter, V will be-

A light beam is incident from air on a reflecting surface so that the reflected ray is found to be completely polarized when the angle fo incidence is 48°.Is some of incidents light (at an angle of 48°)passes into the Metarial below the surface, what is the angle of reflection?

The light from a 10mW laser is concentrated on a 2mm2 area. What is the maximum value of corresponding sinusoidal electric field? $\epsilon_0=8.854\times 10^{12} F m^{-1} \text{and} \mu_0=4\pi \times10^-7 Hm^{-1}$

Calculate the solubility of NiCO3 in grams per liter. The value of Ksp for NiCO3= 1.4×10-7, where  118.7 g/mol is the molecular mass of NiCO3.

When few drops of Ba(NO3)2 solution is added to a test-tube containing the solution of molecules AB, white precipitate is formed. This precipitate remains insoluble on addition of hot dilute HCl. What would be B?

Which of the following is correct?

Which a statement about exothermic and endothermic reactions is correct?

The basis of MRI experiment to detect tumors, strokes, and bleeds-i. Proton (H+) resonance occurs due to absorption of radiofrequency.ii. Affected cells contains more proton which produce more proton (H+) resonance signal.iii. Mutual interaction occurs between protons and electrons due to application of radiofrequency.Which of the following is more appropriate?

If R=8.3 $1 j k g^{- 1}{m} o l^{- 1}$ then find the volume of 20g oxygen at 27°C and 72 cm-Hg pressure.

Which of the following reaction is incorrect?

Which of the following is true?

How many structural isomers would the compound C6H14 have?

In which reaction is the underlined substance acting as a base?

80 mL gas is collected over water at 17°C and 750 mm-Hg pressure the same amount of gas is occupies a volume of 72 mL at STP in dry condition. Calculate the vapor pressure at 17°C.[C-2.1, IUT : 2021-22]

What will be the values of b and d in the balanced chemical equation? a MnO4-(aq) + b C2O42- (aq) + c H+(aq) → d Mn2+(aq) + e CO2(aq) + f H2O (l)

Consider a cell consisting of Zn(s)|Zn2+ (1.00×10-5 M)|| Ag+(0.10M)|Ag(s) and standard reduction potentials of the cell are E°Zn(red)=-0.76V and E°Ag(red)=0.80V at 25°C. For this cell the following parameters age givenThe cell reaction isi. Zn(s)+2Ag+(aq)=> Zn2+(aq)+2Ag(s)
ii.Ecell=1.6488Viii.ΔG°=-3.01×105JWhich of the following is more appropriate?

Which is topmost layer of atmosphere?

Structure of 2,3-dibromobutane is- H3C-CHBr-CHBr-CH3This structurei. has two chiral centersii. shows two optically active isomersiii. shows one optically inactive isomersWhich of the following is more appropriate?