A particle is moving with speed \( v=b \sqrt{x} \) along positive \( x \)-axis. Calculate the sp...

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A particle is moving with speed \( v=b \sqrt{x} \) along positive \( x \)-axis. Calculate the speed of the particle at time \( t=\tau \) (assume that the particle is at origin at \( t=0 \) ).
[JEE (Main) 2019]
(a) \( b^{2} \tau \)
(b) \( \frac{b^{2} \tau}{4} \)
(c) \( \frac{b^{2} \tau}{\sqrt{2}} \)
(d) \( \frac{b^{2} \tau}{2} \)
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