| Assertion (A): The radius of the wheel of a bus is\[\text{25 cm}\]. If the speed of the bus is \[\text{33 km}/\text{h},\] then number of revolutions made by wheel in 1 min is 250. |
| Reason (R): Number of revolutions in one minute |
| \[=\frac{\text{Distance covered in 1 min}}{\text{circumference}}\] |
A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
C) Assertion (A) is true but Reason (R) is false
D) Assertion (A) is false but Reason (R) is true
Correct Answer: A
Solution :
| [a] In 1 h. distance covered by wheel = 33 km |
| In 1 min, distance covered by wheel |
| \[=\frac{33\times 1000}{60}m=550m\] |
| Now, number of revolutions made in 1 min |
| \[=\frac{\text{Distance covered by wheel}}{\text{Circumference of wheel}}\] |
| \[=\frac{550}{2\times \frac{22}{7}\times \frac{25}{100}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ 25cm=\frac{25}{100}m \right]\] |
| \[=\frac{550\times 7\times 100}{2\times 22\times 25}=350\] |
| \[\therefore \] Assertion: False; Reason: True. |
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