Islamic University of Technology ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১৪-২০১৫

If you clap your hands and hear the echo from a distant wall 0.20s later,how far away is the wall? [ Velocity of sound in air = 343ms-1]

The height, in feet, to which a golf ball rises when it is short upward from ground level is described by $h\left(t\right)\ =\ -16t^2\ +\ 48t$. Where,  t is the time elapsed in seconds.  Use the discriminant to determine whether the golf ball can reach a height of 32 feet or not,  and if it can then how many times it reaches that height.

In a flood hit area relief supplies are dropped in a 20kg bag from a helicopter is flying parallel to the ground at 200km/h and is 80m above the ground when the package is dropped. How much horizontal distance does the bag travel before it hits the ground ? [Assume g = 10ms-2]

Find a unit vector normal to the plane ABC as shown in the figure given below. Note that a vector normal to the plane will be perpendicular to any two of AB,  AC and BC vectors.

A 6 x 102g sample of water at 90oC is mixed with 4.00 x 102g of water at 22oC.Assume no heat loss at the surroundings. What is the final temperature of this mixture?

A 4.2g lead bullet moving at 275ms-1 strikes a steel plate and stops. If all its kinetic energy is coverted to thermal energy and none leaves the bullet, what is its temperature change? [Specific heat of lead is 130 j/kgoC]

A space ship is 98m long.How first would it have to moving to appear only 49m?

A light source is located 2.0m below the surface of a swimming pool and 1.5m from one edge of the pool.The pool is filled to the top with water. At what angle does the light reaching the edge of the pool leave the water?

সর্বোত্তম অনুমানভিত্তিক উত্তর — আনুষ্ঠানিক উত্তর নয়: মূল তথ্য বা উত্তরে অস্পষ্টতা/অসম্পূর্ণতা রয়েছে। প্রদত্ত উত্তরটি নিশ্চিত নয়; যাচাই করে ব্যবহার করো।

A jeweler inspects a watch with a diameter of 3.0cm by placing it 8.0m in front of a concave mirror of 12.0cm focal length. Where will the image of the watch appear?

What work is done when 5.0C charge is moved through an electric potential difference of 1.5V?

A 2.2μF capacitor is first charged so that the electric potential difference is 6.0V. How much additional charge is needed to increase the electric potential difference to 15.0V?

How many more minutes would it take light from the Sun to reach Earth if the space between then were filled with water rather than vacuum? [The sun is 1.5 x 108km from Earth.]

A heating coil of resistance 4ohm and operates at 220V AC.If the coil is immersed in an insulated container holding 20 kg of water for 5 minutes,what will be the increase of temperature of water? Assume that 100% heat is observed by water.

Mohammed needs 5V for some Inegrated circuit experiments.He uses a 6 V battery and two resistors to make a potential divider. One resistor is 330 ohm.He decides to make the other resistors smaller,what value should it have?

The amplitude of an AC current is 50 A and It's frequency is 50 Hz.How much time  will it be required to reach the first peak?[P-2.3, IUT : 2014-15]

A diffraction greating has 6000lines/cm.If light of wavelength 5896A° is incident on the greating.What is the diffraction angle for the second maximum?

The radioactive isotope 37CO decays by electron capture with a half-life of 272 days. What is the decay constant?

A plastic tube 25 m long and 4 cm in diameter is dipped into a silver solution,depositing a layer of silver 0.100 mm thick uniformly on the outer surface of the tube.If the coated tube is then connected to a 12 V battery,what will be the current? [Specific resistance of silver=1.47×10-8 ohm m]

What is the β of a transistor whose ɑ=0.98?

A student wants to compare the luminous flux from a bulb with that of a 1750Lm lamp. The bulb illuminates a sheet of paper equally.The 1750 Lm lamp is 1.25m away ; the unknown bulb is 1.08m away. what is the luminous flux of the bulb?

A surveyor uses a steel tape that is exactly 50 m long at a temperature of 20°C.What is the length on a hot summer day when the temperature at 35°C.[Cofficeant of linear expression of steel is 1.2×10-5 mk-1]

In a DC circuit consisting of two resistors in series, the power P delivered to resistor R2 is $\frac{V^{2} R_{2}}{\left ( R_{1} + R_{2} \right )^{2}}$ .   If V and R1 are constants,  what is the value of R2 that priduces a maximum power in this resistor ?

A particle with a charge of $-1.24 \times 10^{8} \mathrm{C}$ is moving with instantaneous velocity $\vec{v}=\left(14.19 \times 10^{4}\right) \hat{i}+\left(-3.85 \times 10^{4}\right) \hat{j} \frac{\mathrm{m}}{\mathrm{s}}$ what is the force exerted on this particle by a magnetic field $\vec{B}=(1.40) \hat{i} T$

A wire 75 cm long carrying a DC current of 6A is at right angle to uniform magnetic field.The magnitude of the force acting on the wire is 0.6N.What is the strength of the magnetic field?

Natural radio active elements continuously emit radiation. The ultimate product of this radiation is-

Radium(at no.88) is converted to Rn(At no.86) by the emissions of radioactive rays.Which ray has been emitted from Radium?

Which group of periodic table has the lowest number of s-block elements?

What is the solubility product of $\mathrm{CaF}_{2}$ if the concentration of fluoride ions in a saturated aqueous solution of $\mathrm{CaF}_{2}$ is $0.00655 \mathrm{gL}^{-1}$?

Which of the following salt of Calcium is not dissolved by H2O,HCl

Lime stone reacts with HCl with the liberation of CO2 gas.Which of the following factors does not have any effect rate of this reaction?

The atomic weight of oxygen is 16.How many grams of electron are there in 1 mol oxygen atom?

Which of the following metals produces medically usable alkaline oxides when burns in oxygen?

The atomic mass of H atom is 1 and that of Cl atom is 35.5.The diffusion rate of H atom through the same orifice will be x times higher than that of Cl atom.The value of x is-

The density of a solution of NaOH is 1.10 g/mL.The concentration of the solution is 0.1M.The percentage(is mass)of water present in the solution is-

A colorless organic compound contains 59.2% C,13.6% H and the rest is Oxygen.The vapour density of the compound is 30.In the presence of H2SO4 the compound reacts with acetic acid and form a compound which has sweer smell of ripe fruit.The compound is

An ester on hydrolysis produces a monobasic acid and an alcohol. 0.185 g of the product acid requires 25mL 0.1N NaOH to neutralize it.The Molecular formula of the acid is-

0.535 g of a mixture of acetaldehyde and ethanol reacts with fehlings solution and form  precipitate.The percentage of acetaledehyde present into the mixture is[w of Cu₂O=1.2g]

What is the oxidation number of sulfur in Al2(SO4)3?