Question

A liquid rises to a height of $1.8cm$ in a glass capillary '$A$'. Another glass capillary '$B$' having diameter $90$% of capillary '$A$' is immersed in the same liquid. The rise of liquid in capillary '$B$' is

• A. $1.4cm$
• B. $1.8cm$
• C. $2.0cm$
• D. $2.2cm$

Answer 1

The correct option is C $2.0cm$

Let the radius of capillary A be $r_A$.

Thus radius of capillary B $r_B=0.9r_A$

Height of liquid rise in capillary A $h_A=1.8cm$

Using $r_A{h}_A=r_B{h}_B$

$r_A\times 1.8=0.9r_A\times h_B$

$⟹$ $h_B=2.0cm$