Units: Practice Problem & Solution
If \(x = at + bt^2\), where \(x\) is the distance travelled by the body in kilometres while \(t\) is the time in seconds, then the units of \(b\) is: [1989]
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Units. Understanding the underlying formula is key to arriving at the correct answer below:
By homogeneity, \([bt^2] = [x]\). So \([b] = [x]/[t^2] = km/s^2\).
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