Islamic University of Technology ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১০-২০১১

If the length of the minute arm of a wrist watch is 2 cm, what will be linear speed at the mid-point of the arm?

The radius of curvature of a rail-line is 450 m and the distance between two rails is 1 m. How much should be the height of outside rail compared to inner rail for necessary raking of a running a train at the speed of 7.5 km/hr.

There are some clouds in the sky 1.5 km from the earth surface. The cloud is converted to rain and deposited as water on the surface on earth of area 1×106 m2 with a depth of 1 cm. Calculate the amount of work required to convert the rain from the cloud.

A loud speaker used in an open field produces 250 W of power. Find the reduction in sound in dB at the points of 20 m and 30 m straight apart from the loud speaker.

The component of the vector $\vec{B} = 5 \hat{i} - 3 \hat{j} + 2 \hat{k}$   along the vector $\vec{A} = 2 \hat{i} + \hat{j} - 2 \hat{k}$   will be -

A metal rod of length 20 cm and diameter 1 cm is covered with non-conducting substance. One of its end is maintained at 100°C,  while the other end is put in ice at 0°C. It is found that 25 gm of ice melts in 5 minutes . Calculate the co-efficient of thermal conductivity of the metal in cm-1°C-1S-1. [ specific latent heat of ice : 80 cal/g/°C]

It takes 5 minutes to decrease the temperature of a material from 80°C to 64°C and it takes 10 minutes to decrease from 80°C to 52°C. What is the ambient temperature ?

The resistances of the first and the second arms of a Wheatstone bridge are 10 ohm and 12 ohm respectively. The third arm contains an unknown resistance. When two parallel resistances each of 20 ohm are connected to the fourth arm of the bridge,  it attains  null condition. Find out the value of unknown resistance.

A carnot engine takes heat at 227°C and releases at 77°C. The efficiency of the engine is -

The electric potential at the surface of an atomic nucleus (z = 50) of radius 9.0×10-13 cm is -

A current of 4.8A4.8A flows through an automobile headlight. How many coulombs of charge flow through in two hours ?

A heater is connected with a line of 120 volt and the power absorbed is 1000 watt.How much resistance should be added to reduce the 10% of power ?

In a house an electric meter is rated as 10 A- 220 V. How many 60 watt lamp can be connected in the house maintaining proper safety ?

The dip circle is placed in such a way that the pick remains vertical. The dip circle is moved 30° vertically and the apparent angle of the dip becomes 45°. Find the actual value of the dip.

A transformer has primary to secondary turn ratio 20:1. A 20 ohm load is connected across the Secondary. If the applied voltage across the primary is 220 V, then the current through the Primary is -

The angle of minimum deviation of a prism is 30°. If the reflective angle of the prism of 60°,  what is refractive index ?

A slit is illuminated by a light of wavelength of 650 nm. The first minimum is Obtained at θ = 30°. The width of the slit is -

A coil of 300 turns has self-inductance of 10 mH. If the current flow in the coil is 3 amperes , what will be the magnetic flux?

An object is placed at a distance of 3f in front of a concave mirror of focal length f.what is the size of the mage with respect to size of the object ?

A boy cannot see any object at distance beyond 60 cm due his eye defect. What is the power of the lens required to see distant objects beyond that distance ?

Which of the following is not electromagnet wave ?

Which of the following d-block elements contain one 4s electron?

The most active metal is -

At 17° temperature and fixed volume, heat of reaction of the following reaction: C(s) + $\frac{1}{2} O_{2} \left ( g \right )$   = CO(g) is found as -122.55 KJ. What is the heat of reaction at fixed pressure?

1 mole of each C2H5OH and CH3CO2H are allowed to react in 1 litre of solvent (dioxane), equilibrium is established when one-third of a mole of each of the reactants remains.What is the equilibrium constant K of the reaction at this state?

If the hydrogen ion concentration of a fruit juice is 3.3×10-2 M ,What is the pH?

The rate of reaction A+ B→ product is K [A] [B]. What is the unit of the rate constant?

From which of the following species, removal of an electron requires maximum energy?

Glauber salt is-

If 0.3 mol Zn is added to HCl containing 0.52 mol HCl, how many moles of H2 are produced?

Which property is generally considered as the characteristic of organic compound?

Which of the following three metals from stainless steel?

What is the emf of the following half cell of 47°C?[E for Fe=0.036V ]: Fel FeCl3 (0.25 M)

A person inhales 200 mg of air once. If the air contains 20% (weight) of oxygen then how many oxygen atoms takes in?

Which region of atmosphere does contain Ozone layer?

Which of the following metal makes an alloy called German silver?

Which of the following of the functional group of ketone?

Which of the following mixture is petrol?