IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০২০-২০২১

In a cylinder there is 0.001 m³ gas at 300 K temperature and at 105 Pa pressure. The gas is expanded isothermally first and later on it is expanded again adiabatically. In each case ratio of expansion is 1:2. Calculate the total amount of work in expansion. (γ = 1.4)

Internal resistance of a battery is 1Ω.1% error is found if the electromotive force of the battery is measured by a voltmeter. What is the resistance of the voltmeter?

In the fourth arm S of a post office box has a wire of length of 1 m and cross-sectional area of 1×10-6 m² is connected Now, the galvanometer gives zero deflection when 10Ω plug from arm Q, 1000Ω plug from arm P and 2025Ω plug from arm R are removed from the box. Determine the specific resistance.

Fraunhofer diffraction is observed on a screen placed at a distance of 0.8 m from two parallel slits separated by 0.1 x 10-3 m when the slits are illuminated by light of wavelength of 5.46 x 10-7m. What is the distance of the 3rd bright fringe from the central bright fringe?

Each gram of 226Ra { }^{226} \mathrm{Ra} emits 3.5 x 1010 alpha particles per second. How many years are the half-life of radium?

A n-p-n transistor is kept in common emitter connection. Current grain of the transistor ẞ= 100. What will be the change in emitter current if the collector current is changed by 1 mA?

A 0.25 kg ball hits a brick wall with a velocity of 30 m/s and bounces back at the same speed. If the ball is in contact with the wall for 0.1 s, what is the value of the force exerted by the wall on the ball?

An object has a mass of 36 kg and weight 360 N at the surface of the Earth. If this object is transported to an altitude that is twice the Earth's radius, what is the objects mass and weight, respectively?

Cart 1 (2 kg) and Cart 2 (2.5 kg) run along a frictionless, level, one-dimensional track. Cart 2 is initially at rest, and Cart 1 is traveling 0.6 m/s toward the right when it encounters cart 2. What is the efficiency of the collision with respect to kinetic energy?

Two charges Q1 = 2.4 x 10-10C and Q2 = 9.2 x 10-10 C are near each other, and charge Q1 exerts a force F₁ on Q2. How does F₁ change if the distance between Q₁ and Q2 is increased by a factor of 4?

Four identical capacitors are connected in parallel to a battery. If a total charge of Q flows from the battery, how much charge does each capacitor carry?

Compared to the initial value, what is the resulting pressure for an ideal gas that is compressed isothermally so one- third of its initial volume?

A 2.5 g string, 0.75 m long, is under tension. The string produces a 700 Hz tone when it vibrates in the third hormonic. What is the wavelength of the tone in the air? (use the speed of sound in air v=344 m/s)

A string, 2 m in length, is fixed at both ends and tightened untill the weve speed is 92m/s. What is the frequency of the standing wave shown?

Which expression describes the critical angle for the interface of water with air?(use the index of refraction for water µw=1.33 and the index of refraction for air µa =1)

Two 10 cm long aluminium rods and five 8 cm long steel rods are at 5°C temperature and are joined together to form a 60 cm long rod. What is the increase in the length of the joined rod when the temperature is raised at 80°C? (Use a coefficient of linear expansion for aluminium= 2.4×10−5K−1 2.4 × 10^{- 5} K^{- 1} and coefficient of linear expansion for Steel  =1.2×10−5K−1) = 1.2 × 10^{- 5} K^{- 1} )

The altitude of a parallelepiped whose three coterminous edges are vectors A⃗=i^+j^+k^‚B⃗=2i^+4j^−k^andC⃗=1^+j^+3k^,withA⃗andB⃗ \vec{A} = \hat{i} + \hat{j} + \hat{k} ‚ \vec{B} = 2 \hat{i} + 4 \hat{j} − \hat{k} \quad\text{and}\quad \vec{C} = \hat{1} + \hat{j} + 3 \hat{k} , w i t h \vec{A} \quad\text{and}\quad \vec{B} as sides of the base of the parallelepiped is-

Water is heated to boiling under a prespressure of 1.0 atm. When an electric current of 0.50 A from a 12 V supply is passed for 300 s through a resistance in thermal contact with it, it is found that 0.798 g of water is vaporized. Calculate the mmolar enthalpy change at the boiling point.

The object is placed 60 cm from a spherical convex mirror. If the mirror forms a virtual image 20 cm from the mirror. what is magnitude of the mirror's radius of curvature?

83Li decays to 84Be. What type of decays is this?

For a certain first order reaction half-life is 100s. How long will it take for the reaction to be completed 75%?

The intensity of the waves from a point source at a distance d from the source is I. What is the intensity at a distance 2d from the source?

What is the equivalent resistance of the circuits if each has a resistance of 600Ω ?

Velocities of sound in two media P and Q are 300 m/s and 340 m/s respectively. If the difference of wavelength of the two sounds in 0.2 m, then for 50 complete vibrations of a turning  fork. What distance the sound will travel in medium Q?

Magnetic flux in a coil is changing according to the following equation:  φ=(4t2+2t−10)Wb, φ = \left ( 4 t^{2} + 2 t - 10 \right ) W b ,  where t is measured in s. If the resistance of the coil is 5 ohm then at t=2s calculate the induced current in the coil.

A Proton of 8 MeV energy is applied perpendicularly in uniform magnetic field of 5.0 T. Calculate the effective force on the proton.

The focal lengths of the objective and the eye-piece of a compound microscope are 5 mm and 6 cm respectively . The distance of the image formed by the objective is at a distance of 25 cm from it. The final virtual image is situated at a distance of 30 cm from the eye piece. Find the total magnification of the image.

মৃত্যুপর্ব শুরুর মুহুর্তে যদি কোনো তারকার ভর 1.4 M0 এর বেশি থাকে,  তবে কোনোভাবেই এটি শ্বেত বামন হতে পারবে না। ভরের এই সীমাকে বলা হয় --

Asume that the sound level of your whisper is 20 dB and is shout is 90 dB. How many times greater is the intensity of a shout than a whisper, given that the decible level of a sound wave is related to the intensity I of the wave by :   dB=10log⁡"II0 d B = 10 \log{"} \frac{I}{I_{0}} Where I0 = 10-12 Wm-2.

Using a mirror with focal length of 10 m, an object is viewed at various distances. What is its magnification of orientation when the object is 5 m in front of the mirror?

An unknown gas with a volume of 500 mL takes 320 sec to effuse through a thin hole. In the same temperature and pressure, the same volume of chlorine takes 240 sec to effuse. The molecular mass of the unknown gas is:

Which one of the following is false?

727oC the equilibrium constant for the reaction flask is 1.00 atm, and the partial pressure of O2 at equilibrium is 0.10 atm, calculate the partial pressure of SO2.—{ KpK_p=3.5}

Calculate the pH of 0.1 M CH3COOH. The dissociation constant of acetic acid is 1.8 x 10-5

Which is true for aromatic compound?

A mixture is prepared by mixing 1.50 mole Toluene and 3.50 mole Benzene. If the vapor pressure of pure Benzene and Toluene are 40.55 kPa and 20.24 kPa, repectively at 0°C, then the total vapor pressure of the mixing will be:

According to the order of electronegatively, which of the following is correct?

What type of the reaction of the following? H-CHO + NaOH = CH3OH + HCOONa

In an experiment, 0.774 gm of CO2 and 0.445 gm of H2O was found to produce after combustion of 0.50 gm of a fuel. The empirical fromula of the fuel is:

Which  one of the following is the Benedict solution: