A function f(θ ) is defined as f(θ ), = ,1, - θ + frac{{{θ ^2}}}{{2!}} - frac{

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1.Units, Dimensions and Measurement

hard

A function $f(\theta )$ is defined as $f(\theta )\, = \,1\, - \theta + \frac{{{\theta ^2}}}{{2!}} - \frac{{{\theta ^3}}}{{3!}} + \frac{{{\theta ^4}}}{{4!}} + ...$ Why is it necessary for $f(\theta )$ to be a dimensionless quantity ?

Option A

Option B

Option C

Option D

Solution

Since, $f(\theta)$ is a sum of different power of $\theta$ and as $RHS$ is dimensionless, hence $LHS$ should also be dimensionless.

Standard 11

Physics

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