A wheel covers a distance of 9.5 km in 2000 revolutions. The diameter of the wheel is

The correct option is 1.5 m.

Let us find the diameter of the wheel step-by-step.
First, we are given:
Total distance covered by the wheel = 9.5 km
Total number of revolutions = 2000

Let us convert the total distance from kilometers (km) to meters (m) to match the unit of the options:
Since $1\text{km}=1000\text{m}$,
Distance in meters = $9.5\times 1000=9500\text{m}$

The distance covered by a wheel in one complete revolution is equal to its circumference.
Therefore, the distance covered in 2000 revolutions is:
$\text{Total Distance}=2000\times \text{Circumference}$

The formula for the circumference of a circle in terms of its diameter ($d$) is:
$\text{Circumference}=\pi d$

Substituting this into the distance relation:
$9500=2000\times \pi \times d$

Using the approximation $\pi \approx \frac{22}{7}$:
$9500=2000\times \frac{22}{7}\times d$

Simplify the equation to solve for $d$:
$95=20\times \frac{22}{7}\times d$
$95=\frac{440}{7}\times d$
$d=\frac{95\times 7}{440}$
$d=\frac{19\times 7}{88}$
$d=\frac{133}{88}\approx 1.511\text{m}$

Rounding to one decimal place, the diameter of the wheel is approximately 1.5 m.