MCQOPTIONS
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MCQOPTIONS
This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Ordinary Differential Equations knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The radius of the moon is roughly 2000km. The acceleration of gravity at the surface of the moon is about \(\frac{g}{6}\), where g is the acceleration of gravity at the surface of the earth. What is the velocity of escape for the moon?(Take g=10ms-2) |
| A. | 2.58 kms-1 |
| B. | 4.58 kms-1 |
| C. | 6.28 kms-1 |
| D. | 12.28 kms-1 |
| Answer» B. 4.58 kms-1 | |
| 2. |
A bottle of mineral water at a room temperature of 72℉ is kept in a refrigerator where the temperature is 44℉.After half an hour water cooled to 61℉.What is the temperature of the body in another half an hour?(Take log \(\frac{28}{17}\) = 0.498, e-0.99=0.37) |
| A. | 18℉ |
| B. | 9.4℉ |
| C. | 54.4℉ |
| D. | 36.4℉ |
| Answer» D. 36.4℉ | |
| 3. |
A body in air at 25℃ cools from 100℃ to 75℃ in 1 minute. What is the temperature of the body at the end of 3 minutes? (Take log(1.5)=0.4) |
| A. | 40℃ |
| B. | 47.5℃ |
| C. | 42.5℃ |
| D. | 50℃ |
| Answer» C. 42.5℃ | |
| 4. |
According to Newton’s law of cooling “The change of temperature of a body is proportional to the difference between the temperature of a body and that of the surrounding medium”. If t1℃ is the initial temperature of the body and t2℃ is the constant temperature of the medium, T℃ be the temperature of the body at any time t then find the expression for T℃ as a function of t1℃, t2℃ and time t. |
| A. | T=t1+(t2) e-kt |
| B. | T=t2+(t1-t2) e-kt |
| C. | T=t1+(t1-t2) ekt |
| D. | T=t2+(t1) ekt |
| Answer» C. T=t1+(t1-t2) ekt | |