Case Study Questions for Class 12 Maths Chapter 9 Differential Equations

Last modified on:3 years ago
Reading Time:3Minutes

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:

Table of Contents

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

Case Study Questions for Class 12 Maths Chapter 13 Probability

Case Study Questions for Class 12 Maths Chapter 12 Linear Programming

Case Study Questions for Class 12 Maths Chapter 11 Three dimensional Geometry

Case Study Questions for Class 12 Maths Chapter 10 Vector Algebra

Case Study Questions for Class 12 Maths Chapter 6 Application of Derivatives

Case Study Questions for Class 12 Maths Chapter 4 Determinants

Case Study Questions for Class 12 Maths Chapter 5 Continuity and Differentiability

Case Study Questions for Class 12 Maths Chapter 3 Matrices

Case Study Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

Case Study Questions for Class 12 Maths Chapter 8 Applications of Integrals

Case Study Questions for Class 12 Maths Chapter 7 Integrals

Case Study Questions for Class 12 Maths Chapter 1 Relations and Functions

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.

Click here for All Tests

[mathjax]

Case Study Questions for Class 12 Maths Chapter 9 Differential Equations

Case Study Questions for Class 12 Maths Chapter 9 Differential Equations

Related Posts

Category Lists (All Posts)

Leave a ReplyCancel reply

Case Study Questions for Class 12 Maths Chapter 9 Differential Equations

Related Posts

Category Lists (All Posts)

Leave a ReplyCancel reply

Discover more from Gurukul of Excellence