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Question

Physics Question on mechanical properties of fluid

Water rises in a vertical capillary tube upto a length of 10cm10 \,cm. If the tube is inclined at 4545{}^\circ , the length of water column risen in the tube will be

A

10cm10\,cm

B

102cm10\,\sqrt{2}\,cm

C

52cm5\,\sqrt{2}\,cm

D

20cm20\,cm

Answer

102cm10\,\sqrt{2}\,cm

Explanation

Solution

When capillary tube is tilted through an angle θ\theta, then length of water risen in capillary, l=hcosθl=\frac{h}{\cos \theta} Here θ=45\theta=45^{\circ} l=10cos45=102cm\therefore l=\frac{10}{\cos 45^{\circ}}=10 \sqrt{2} cm