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Q.

Match list I with list II.
List - I List - II
A. Ratio of angular velocities of hours hand of a clock and self rotation of the earth e. 12 : 1
B. Ratio of angular velocities of seconds hand to minutes hand of a clock f. 60 : 1
C. Ratio of angular velocities of seconds hand to hours hand of a clock g. 2 : 1
D. Ratio of angular velocities of minutes hand to hours hand of a clock h. 720 : 1
A B C D
1. g f e h
2. f g h e
3. g f h e
4. g e f h

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a

2

b

1

c

3

d

4

answer is C.

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Detailed Solution

$\frac{ω_{H}}{ω_{E}} = \frac{\frac{2 π}{12}}{\frac{2 π}{24}} = \frac{24}{12} = 2 : 1$

$\frac{ω_{\sec}}{ω_{min}} = \frac{\frac{2 π}{1}}{\frac{2 π}{60}} = 60 : 1$

$\frac{ω_{\sec}}{ω_{hour}} = \frac{\frac{2 π}{1}}{\frac{2 π}{60 \times 12}} = 720 : 1$

$\frac{ω_{\min}}{ω_{hour}} = \frac{\frac{2 π}{60}}{\frac{2 π}{60 \times 12}} = 12 : 1$

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