Case Study Questions for Class 12 Maths Chapter 9 Differential Equations

Home » CBSE Class 12 Maths » Case Study Questions for Class 12 Maths » Case Study Questions for Class 12 Maths Chapter 9 Differential Equations

Case Study Questions for Class 12 Maths Chapter 9 Differential Equations

Read the following text and answer the following questions on the basis of the same:

The rate of increase in the number of bacteria in a certain bacteria culture is proportional to the number present. Given that the number triples in 5 hours.

(i) The value of

$$
\int \frac{1}{K x} d x=
$$
(A) \log |x|+C
(B) \log |K x|+C
(C) \frac{1}{K} \log |x|+C
(D) \frac{-1}{K x^2}+C

(ii) If ‘N’ is the number of bacteria, the corresponding differential equation is ___________.

(A) \frac{d N}{d t}=K t
(B) \frac{d N}{d t}=K N
(C) \frac{d K}{d t}=N
(D) \frac{d K}{d N}=t

(iii) The general solution is ____________.

(A) \log |N|=K t+C
(B) \log |N t|=K+C
(C) \log |N|=t
(D) \log |K t|=N+C

(iv) If N0 is the initial count of bacteria, after 10 hours the count is ________.

(A) \frac{1}{5} \log 3
(B) 3 \log N_0
(C) 9 N_0
(D) 2 N_0

(v) The bacteria become 10 times in _____________ hours.

(A) 5 \log 7
(B) \frac{5 \log 10}{\log 3}
(C) \frac{5}{\log 3}
(D) \log \left(\frac{10^5}{3}\right)

Show Answer Answers:
(i) C
(ii) B
(iii) A
(iv) C
(v) B

Related Posts

Category Lists (All Posts)

Select Category

All categories of this website are listed below with number of posts in each category for better navigation. Visitors can click on a particular category to see all posts related to that category.

Test Series (Engineering, Medical and School Level Exams)

Test series for students preparing for Engineering & Medical Entrance Exams are available. We also provide test series for School Level Exams. Tests for students studying in CBSE, ICSE or any state board are available here. Just click on the link and start test.

Leave a Reply

✨Download Updated White Label Product Brochures (2023-24) 

%d bloggers like this:
search previous next tag category expand menu location phone mail time cart zoom edit close