A rectangular metal plate has dimensions of $10 c m \times 20 c m$ . A thin film of oil separates the plate from a fixed horizontal surface. The separation between the rectangular plate and the horizontal surface is 0.2 mm. An ideal string is attached to the plate and passes over an ideal pulley to a mass m. When $m = 125 g m$ , the metal plate moves at constant speed of 5 cm/s across the horizontal surface. Then the coefficient of viscosity of oil in $d y n e - s / c m^{2}$ is $(U se g = 1000 c m / s^{2})$ :

Question

A rectangular metal plate has dimensions of

10 c m \times 20 c m

. A thin film of oil separates the plate from a fixed horizontal surface. The separation between the rectangular plate and the horizontal surface is 0.2 mm. An ideal string is attached to the plate and passes over an ideal pulley to a mass m. When

m = 125 g m

, the metal plate moves at constant speed of 5 cm/s across the horizontal surface. Then the coefficient of viscosity of oil in

d y n e - s / c m^{2}

is

(U se g = 1000 c m / s^{2})

:

Filo · Accepted Answer

Viscous force Fviscous​=η AdxdV​Velocity gradient dxdV​=0.025​=250    ( mm to cm ) The weight of the block is equal to the viscous force when the block moves with a constant velocity.∴125× 1000=η ×(10×20)×250∴η=2.5dyne−scm−2

Question Text	A rectangular metal plate has dimensions of $10 c m \times 20 c m$ . A thin film of oil separates the plate from a fixed horizontal surface. The separation between the rectangular plate and the horizontal surface is 0.2 mm. An ideal string is attached to the plate and passes over an ideal pulley to a mass m. When $m = 125 g m$ , the metal plate moves at constant speed of 5 cm/s across the horizontal surface. Then the coefficient of viscosity of oil in $d y n e - s / c m^{2}$ is $(U se g = 1000 c m / s^{2})$ :
Answer Type	Text solution:1
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