2-physics questions?

Question

1-a drop of olive oil of radius 0.25 mm spreads into a circular film of diameter 20 cm on th e water surface.estimate the size of an oil molecule.
its ans shud be(2.08*10^-9 m). and the second question is


2-how will we change 1degree 54' into radians

Answer 1

Answer for Q1:

Assuming the oil drop as spherical (though its not so in reality),
Radius of the drop = 0.25 mm = 0.25 x 10^-3 m
Volume of the oil drop = (4/3)*(pi)*(0.25 x 10^-3)^3 ......(i)

The circular film is cylinderical with radius 0.1 m (given) and thickness 't' m(say).
Volume of the film = (pi) * (0.1)^2 * t .......(ii)

(i) = (ii) implies,
t = 2.0833 x 10^-9 m

NOTE: We have found only the thickness of the film and not the size of the oil molecule.

Answer for Q2:

1 degree = (pi) / 180 radians
60 ' = (pi) / 180 radians
54 ' = (pi/180)*(54/60) radians

1 degree + 54' = [(pi) / 180] + (pi/180)*(54/60) radians
= [(pi)/180] [ 1 + 54/60] radians
= 0.033161 radians. (pi = 3.14159)

Answer 2

ANS for 1st Q;
equating volumes;
4/3*(pie)*(.25)^3*(10)^-9 = (pie)*(10)^2*(10)^-4*y ;
{1 mm= 10^-3 m ; rad=20/2 cm ; 1 cm= .01 m }
[where y is size of oil molecule]
On solving u get y=2.08*10^-9


FOR the 2nd Q ;
54'=.9 degrees i.e; 1degree 54'= 1.9 degrees;
180 deg=pie radians ;
1.9 deg=? (x )
x=1.9 (pie)/180 .

Answer 3

for second qn

60'=1deg and 54'= 54/60 degree

pi radian = 200 grade =180 degree

so,
180 degree= pi radian
1 degree = pi/180 radian
54/60 degree = pi/180 *54/60 dadian
= -------------=x
ans = 1 + x

Answer 4

oil drop volume = circular film volume (cylinder)
(sphere)

= 4/3 *pi * (o.25)^3 = pi * (200)^2 *h

so h = [ 4/3*pi*(0.25)^3] /pi*(200)^2

=.00208 * 10^-3m

= 2.08 * 10^-9 m

Answer 5

ans one by milk man oil drop experiment

180 degree is pi radian
1 degree is pi /180 radian
1 degree is 60'
60' is 1 degree
60' is pi/180 radian
54' is 54' *pi/180*60'

Answer 6

1.
V = (4/3)π(2.5*10^-4)^3 = tπ(.01m)^2
t = (4/3)(2.5*10^-4)^3/(1*10^-2m)^2
t = 2.083*10^-8 m

2.
1°54' = 1° + 54°/60 = 1.9°
180° = π radians
1.9°(π/180°) = 0.332 radian

Answer 7

for first question i didn't know but for 2nd question:

360 deg=2pie rad
1.54=?

(1.54/360)X 2 pie rad = 0.02686 rad