Islamic University of Technology ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১৫-২০১৬

The post given in the figure below is to be pulled out of the ground using two ropes A and B. Rope A is subjected to force F1=600lb and is directed at angle θ1=60 from the horizontal. If the resultant force acting on the post is to be Fr=1200lb , vertically upward, determine the force T in rope B.

An ambulance travels down a highway at a speed of 33.5 ms-1, its siren emitting sound at a frequency of 400 Hz. What frequency is heard by a passenger in a car travelling at 24.6 ms-1 in the opposite direction and approaching to the ambulance?

How much of an iceberg is beneath the surface of the ocean given that the density of ice is 917 kg.m-3 and salt water has density of 1025 kg.m-3

A jet plane has takeoff speed of 75 ms-1 and can move along the runway at an average acceleration of 1.3 ms-2.What must be the minimum length of the runway?

An arrow is shot straight up in the air at an initial speed of 15.0 ms-1. After how much time is the arrow heading downward at a speed of 8.0 ms-1 ?

An eagle is flying horizontally at a speed of 3.0 ms-1 when the fish in her talons (claw) wiggles loose and falls into the lake 5.0 m below. What is the velocity of the fish relative to the water when it hits the water?

What is the power output needed for a 950 kg a 2.0°slope at a constant 30.0 ms-1while encountering wind ear to climb resistance and friction totalling 600 N?

The driver of a truck slams on the brakes when he sees a tree blocking the road.The truck slows down uniformly with an acceleration of 5.60ms-2 for 4.20 s,making skid marks 62.4 m long that end at the tree.With what speed does the truck then strike the tree?

A ball , after having fallen from rest under the influence of gravity for 5s, crashes a horizontal glass plate, thereby losing 1/3 of its velocity. It then reaches the ground in 3s, find the height of the plate above the ground.

It is claimed that the biggest six hit by a cricket batsman is 160m ,(that is the over-boundary covers a distance of 160m). The minimum initial velocity to hit such a six is (assume g=10m/s)

The unit vector nomal (perpendicular) to the plane made by two vectors $\vec{A} = 2 \hat{i} - 6 \hat{j} - 3 \hat{k}$ and $\vec{B} = 4 \hat{i} + 3 \hat{j} - \hat{k}$ is:

The total energy of a moving particle is 2.5 times of its energy at rest. What is the speed of the particle?

The half-life of the radioactive nucleus 22688Ra is 1.6 x 103 year. If a sample initially contains 3.00 x 1016 nuclei, what is the number of nuclei of the material remaining4.8 x 103 year?

A stove element draws 15 A of current when connected to a 220V DC source. How long does it take to consume 66 KJ?

An electron is at the origin. What is the potential difference (VA-VB)? Where point A is at x=0.25 cm and point B is at x=0.75 cm.

The focal length of a an eyepiece and objective lens of an astronomical telescope are respectively 5 cm and 30 cm. What is the magnification of the telescope for near focusing? Least distance of distinct vision is 25 cm.

The resistance between terminals a and b is 75Ω. If the resistors labeled R have the same value, what is the value of R?

A circular copper ring at 20.0°C has a hole with an area of 9.980 cm2. What minimum temperature must it have so that it can be slipped onto a steel metal rod having a cross sectional area of 10.00 cm2? (Coefficient of linear expansion of copper is 17 x 10-6(°C)-1

An aluminium rod is 20.0 cm long at 20°C and has a mass of 350 g. If 10,000 J of energy is added to the rod by heat, what is the change in length of the rod? (Coefficient of linear expansion of aluminium is 24 x 10-6 (°C)-1 and specific heat is 900 J. kg-1°C.

The heat sink of a Carnot engine has a temperature of 27°C and efficiency of 50%.In order to increase the efficiency to 60%,how much temperature to be increased at the source?

A common base n-p-n transistor has ɑ=0.98, IE=1.5 mA. What is the base current IB?

An alarm clock is set to sound in 10h.At t=0,the clock is placed in a spaceship moving with a speed of 0.75c(relative to Earth).What distance, as determined by an Earth observer, does the spaceship travel before the alarm clock sound?

A 200 cm copper wire and a 201.0cm platinum wire are both at exactly 0°C.At what temperature will they be of equal length? (Coefficient of linear expansion of platinum =9×10-6 °C-1)

What is the size of the current in a 35cm long wire that is perpendicular to a magnetic field of 0.085 T.If the force on the wire is 125 mN?

A potential difference of 1.0V is maintained across a 10 ohm resister for 20 s.What is the total charge pass through the resistor during that time interval?

If an electron is accelerated by a potential difference of 10 kV,what is the speed of the electron?

A heart defibrillator delivers 4×102 J of energy by discharging a capacitor at 1×104 V.What is the value of the capacitor (in μF unit)?

The idea of dual nature of electron was first given by-

The current I in circuit varies directly( i.e., along a straight line) with voltage V. If V=15 volts when I=0 ampere and V=10 volts when I =150ampere, then find the equation relating V and I .

Monochromatic light from a helium laser (λ=632.8 nm) is incident normally on a diffraction grating containing 6.00 x 103 lines/cm.What is the angle of the first maximum of the diffraction pattern ?

Camera lenses are described in terms of their focal length. A 50mm lens has a focal length of 50mm.A camera with a 50 mm lens is focused on an object 3 m away. What is the location of the image?

To separate calcium from the solution of a chalk,which one of the following reagents is to be used?

The elements whose neutron number are same but proton number is different consequently the mass number is different is called -

HF is very week acid.At 410K temperature 35% of HF is being dissociated. The value of Ka of HF at 410K temperature is-

Which of the follows is most reactive cleaning agent for glass apparatus?

A popular brand of cola contains 6.50 g of carbon-dioxide dissolved in 1.00 L of soft drink. If the evaporating carbon-di-oxide is trapped in a cylinder at 1.00 atm and 20.0°C,what volume does the gas occupy?

7.1 g anhydrous Na2SO4 is dissolved in water.The amount of Na2SO4 obtained on drying the solution very slowly at normal temperature is found to be 9 g.The water of crystallization of Na2SO4 is-

The non-alkaine hardness of water is due to the pressure of-

The name of the reaction by Which the -COCl group is directly converted to -CHO group is:

The reagent that is used in Hofmann degradation reaction is-

The following four analytical reagents are used to identify the presence of carbonyl group in organic compound.Among these which one are organic complex compound?

Sodium has only one oxidation number. Lead has two oxidation numbers. How many oxidation numbers chlorine may have in its different compounds?

30 mL 12.5 molar HNO3 is taken to synthesize 20g aniline from benzene. How much (in gram) of HNO3 will remain unused in this reaction?

At 30°C the concentration of dissolved oxygen in a sample water is 7.54 ppm.The iodine liberated by 1000 mL of this sample water reacts  completely with 9 mL Na2SO3 solution.The concentration  of this Na2SO3 solution is-

Which one of following compounds is the main component of synthetic lubricant?

Which of the following element of a compound is used as retarder in cement industry?

When using a file_____