| Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
| Assertion The diameter of a wheel is 4.2 m. It makes 75 revolutions in one minute. The speed of the wheel is 59.4 km/h. |
| Reason Distance travelled in one minute = Circumference \[\times \] Number of revolutions in one minute. |
A) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is false.
D) A is false; R is true.
Correct Answer: A
Solution :
We have, diameter of wheel = 4.2 m Circumference of circle = one revolution \[=\pi \times 4.2=\frac{22}{7}\times 4.2=13.2\] Distance covered in 75 revolutions \[=\text{ }\left( 75\times 13.2 \right)\text{ }m\] Speed of wheel\[=\frac{Distance\text{ }travelled}{Time\,taken}\] \[=\left( \frac{75\times 13.2}{1/60}\times \frac{1}{1000} \right)km/h\] \[=75\times 13.2\times 60=59.4\,km/h\]
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