AIEEE 2008 | Properties of Matter Question 269 | Physics

A spherical solid ball of volume $$V$$ is made of a material of density $${\rho _1}$$. It is falling through a liquid of density $${\rho _2}\left( {{\rho _2} < {\rho _1}} \right)$$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed $$v,$$ i.e., $${F_{viscous}} = - k{v^2}\left( {k > 0} \right).$$ The terminal speed of the ball is

$$\sqrt {{{Vg\left( {{\rho _1} - {\rho _2}} \right)} \over k}} $$

$${{{Vg{\rho _1}} \over k}}$$

$$\sqrt {{{Vg{\rho _1}} \over k}} $$

$${{Vg\left( {{\rho _1} - {\rho _2}} \right)} \over k}$$

AIEEE 2006

MCQ (Single Correct Answer)

-1

If the terminal speed of a sphere of gold (density $$ = 19.5\,\,kg/{m^3}$$) is $$0.2$$ $$m/s$$ in a viscous liquid (density $$ = 1.5\,\,kg/{m^3}$$, find the terminal speed of a sphere of silver (density $$ = 10.5\,\,kg/{m^3}$$) of the same size in the same liquid

$$0.4$$ $$m/s$$

$$0.133$$ $$m/s$$

$$0.1$$ $$m/s$$

$$0.2$$ $$m/s$$

AIEEE 2006

MCQ (Single Correct Answer)

-1

A wire elongates by $$l$$ $$mm$$ when a LOAD $$W$$ is hanged from it. If the wire goes over a pulley and two weights $$W$$ each are hung at the two ends, the elongation of the wire will be (in $$mm$$)

$$l$$

$$2l$$

zero

$$l/2$$

AIEEE 2005

MCQ (Single Correct Answer)

-1

If $$S$$ is stress and $$Y$$ is young's modulus of material of a wire, the energy stored in the wire per unit volume is

$${{{S^2}} \over {2Y}}$$

$$2{S^2}Y$$

$${S \over {2Y}}$$

$${{2Y} \over {{S^2}}}$$