Dimensional Analysis

Q.

A machine gun fires bullets of $50gm$ at the speed of $1000m/sec$. If an average force of $200N$ is exerted on the gun, the maximum number of bullets fired per minute is

Q. Write the numerical expression for the tree diagram.

1. $[7\times (9+2\left)\right]+\left[\right(6-3)÷3]$
2. $[7\times (9+2\left)\right]\times \left[\right(6-3)÷3]$
3. $\left[\right(7\times 9)+2)]+[(6-3)÷3]$
4. $[7\times (9+2\left)\right]-\left[\right(6-3)÷3]$

Q.

What is the bulk modulus of elasticity?

Q. If the velocity of light $c$, gravitational constant $G$, and Planck's constant $h$ be taken as fundamental units, the dimension of mass in the new system will be :

1. $c^{1/2}{h}^{1/2}{G}^{1/2}$
2. $c^{-3/2}{h}^{1/2}{G}^{1/2}$
3. $c^{1/2}{h}^{1/2}{G}^{-1/2}$
4. $c^{-3/8}{h}^{1/2}{G}^{1/2}$

Q. Calculate the pressure (as kPa) exerted by 22 g of carbon dioxide in 0.5 $d{m}^3$ at 298. 15 K using van der Waals equation.

Q. In an experiment, the factor that we measure is called the :

1. conclusion
2. independent variable
3. controlled variable
4. dependent variable

Q. The walking speed of Helen is as similar to the graph below. Then, the speed of Helen is .

1. 1 mph
2. 2 mph
3. 3 mph
4. 4 mph