**Which of the following equations are dimensionally consistent?**

**Answer:**

**(a)**

The distance travelled by an object is

**x = vt**

Dimension of x is **[L]**, dimension of v is **[L]**/[**T]** and dimension of **t** is **[T]**.

Substitute **[L]** for x, **[L]/[T]** for v, and **[T]** for **t**,

The dimensions on both the sides are the same.

Thus, the equation **x = vt** is dimensionally consistent.

**(b)**

The distance travelled by an object is

The dimensions on both the sides are the same.

**( c)**

Given equation is

Note that 2 is ignored in dimensional analysis because it has no dimensions.

The dimensions on both the sides are the same.