BUET Admission Test 2020-2021

1. A particle starts form rest along a straight line, accelerates uniformly at $2 \mathrm{~ms}^{-2}$ and then decelerates uniformly at $4 \mathrm{~ms}^{-2}$ till it stops. If the total distance travelled by it is $750 \mathrm{~m}$ then find its maximum velocity.

2. The energy released per fission from ${ }_{92}^{235} \mathrm{U}$ is $200 \mathrm{MeV}$. Calculate the energy released by the fission of $2 \mathrm{gm}$ of ${ }_{92}^{235} \mathrm{U}$ in $\mathrm{kWh}$.

3. Determine the change of entropy during an increase of temperature of $2 \mathrm{~kg}$ water from $25^{\circ} \mathrm{C}$ to $80^{\circ} \mathrm{C}$ by means of an electric kettle. Specific heat of water is $4200 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}$.

4. During COVID-19 pandemic, a pickup truck of mass $4 \times 10^{3} \mathrm{~kg}$ and a microbus of mass $10^{3} \mathrm{~kg}$ were delivering oxygen cylinders to a hospital. The velocity of the pickup truck was $80 \mathrm{~km}$ per hour. In order to achicve the same kinetic energy, what should be the velocity of the microbus?

5. Show the electronic configuration and determine the position of the elements in the periodic table having the following atomic number.

(a) 38

(b) 54 .