Explore topic-wise MCQs in Ordinary Differential Equations.

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<sup>-1</sup>
B. 4.58 kms<sup>-1</sup>
C. 6.28 kms<sup>-1</sup>
D. 12.28 kms<sup>-1</sup>
Answer» B. 4.58 kms<sup>-1</sup>
Discussion
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
Discussion
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
Discussion
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=t<sub>1</sub>+(t<sub>2</sub>) e<sup>-kt</sup>
B. T=t<sub>2</sub>+(t<sub>1</sub>-t<sub>2</sub>) e<sup>-kt</sup>
C. T=t<sub>1</sub>+(t<sub>1</sub>-t<sub>2</sub>) e<sup>kt</sup>
D. T=t<sub>2</sub>+(t<sub>1</sub>) e<sup>kt</sup>
Answer» C. T=t<sub>1</sub>+(t<sub>1</sub>-t<sub>2</sub>) e<sup>kt</sup>
Discussion