Answer:
The terminal velocity of the ball of radius 2R will be 4cm/s.
Explanation:
Terminal Velocity refers to the maximum velocity attained by a body while it moves through any fluid.
Terminal velocity of a body is directly proportional to the square of radius.
V ∝ r²
Given is a ball of radius R falling through oil with terminal velocity of 1cm/s,
If the radius becomes 2R keeping all other parameters unchanged ,
V ∝ (2r)²
Then velocity becomes 4 times of the velocity of ball of radius R.
4×1 = 4cm/s.
hence, The terminal velocity of the ball with radius 2R is 4cm/s.