Ask & Answer: India's Largest Education Community

This is a Long Answer Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}\text{\hspace{0.17em}Referring}toExerciseQ.41,wewillusehere,Bayes\text{'}Theorem\\ \left(i\right)P\left(E_2/F\right)=\frac{P\left(E_2\right).P\left(F/E_2\right)}{P\left(E_1\right).P\left(F/E_1\right)+P\left(E_2\right).P\left(F/E_2\right)+P\left(E_3\right).P\left(F/E_3\right)}\\ =\frac{\frac{2}{6}.\frac{1}{3}}{\frac{1}{6}.0+\frac{2}{6}.\frac{1}{3}+\frac{3}{6}.1}=\frac{\frac{2}{18}}{\frac{2}{18}+\frac{3}{6}}=\frac{2}{18}\times \frac{18}{11}=\frac{2}{11}\\ \left(ii\right)P\left(E_3/F\right)=\frac{P\left(E_3\right).P\left(F/E_3\right)}{P\left(E_1\right).P\left(F/E_1\right)+P\left(E_2\right).P\left(F/E_2\right)+P\left(E_3\right).P\left(F/E_3\right)}\\ =\frac{\frac{3}{6}.1}{\frac{1}{6}.0+\frac{2}{6}.\frac{1}{3}+\frac{3}{6}.1}=\frac{\frac{3}{6}}{\frac{2}{18}+\frac{3}{6}}=\frac{3}{6}\times \frac{18}{11}=\frac{9}{11}\\ Hence,therequiredprobabilitiesare\frac{2}{11}and\frac{9}{11}\end{array}$

Candidates can gain the following skills after Forensic Medical Science course:

• Critical thinking and analytical reasoning for examining evidence.

• Scientific and medical report writing, including medico-legal documentation.

• Crime scene investigation techniques like evidence collection and preservation.

• Understanding of toxicology, pathology, and forensic laws.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer- a, b

Explanation - |A+B|= |A|or |A+B|²=|A|²

|A|² +|B|²+2|A|B|cos $\theta$ = |A|²

|B| (|B|+2|A|cos $\theta$ )= 0

|B|=0 or |B|+2|A|cos $\theta$ =0

Cos $\theta$ = $\frac{-\left|B\right|}{2\left|A\right|}$

If A and B are antiparallel then $\theta$ =180

-1= $\frac{\left|B\right|}{2\left|A\right|}=\left|B\right|=2\left|A\right|$

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer- b, d

Explanation – given A+B+C = 0

B $\times \left(A+B+C\right)=B\times 0=0$

B $\times A$ +B $\times B+B\times C$ =0

B $\times A+0+B\times C=0$

B $\times A=-B\times C$

A $\times B=B\times C$

(A $\times B$ ) $\times C=\left(B\times C\right)\times C$

It cannot be zero

(b) (A $\times B$ ).C= (B $\times AC$ ).C=0 . if b|C then B $\times C$ =0 then (B $\times C$ ) $\times C=0$

(c) (A $\times B$ )=X=ABsin $\theta X$ . The direction of X is perpendicular to the plane containing A and B (A $\times B$ ) $\times C=X\times C.$

(d) if c²= A²+B², then angle between A and B is 90⁰

(A $\times B$ ).C= (AB sin90⁰X).C=AB (X.C)

= ABC cos90⁰= 0

Arunachal University of Studies offers a vast range of courses from Science and Engineering to Management. The MBA course at the university is offered to students who wish to make bright careers in the Management field. The MBA course if offered in the General MBA programme as well as MBA in Hospitality Management.

The total tuition fees for the courses stands at INR 1.2 lakhs for MBA General and INR 1.8 lakhs for MBA Hospitality Management. There are plenty of scholarship programs available to students at Arunachal University of Studies.

This is a Long Answer Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Giventhat:\\ \text{?}\text{?}\text{?}BagI=3redballsandnowhiteball\\ BagII=2redballsand1whiteball\\ BagIII=noredballand3whiteballs\\ Let{E}_1,E_{2}and{E}_{3}betheeventsofBagII,andBagIIIrespectivelyandaballis\\ drawnfromit.\\ \therefore P\left(E_1\right)=\frac{1}{6},P\left(E_2\right)=\frac{2}{6}andP\left(E_3\right)=\frac{3}{6}\\ \left(i\right)LetEbetheeventthatredballisselected\\ \therefore P\left(E\right)=P\left(E_1\right).P\left(E/E_1\right)+P\left(E_2\right).P\left(E/E_2\right)+P\left(E_3\right).P\left(E/E_3\right)\\ =\frac{1}{6}.\frac{3}{3}+\frac{2}{6}.\frac{2}{3}+\frac{3}{6}.0=\frac{3}{18}+\frac{4}{18}=\frac{7}{18}\\ \left(ii\right)LetFbetheeventthatwhiteballisselected\\ \therefore P\left(F\right)=1-P\left(E\right)\left[P\left(E\right)+P\left(F\right)=1\right]\\ =1-\frac{7}{18}=\frac{11}{18}\\ Hence,therequiredprobabilitiesare\frac{7}{18}and\frac{11}{18}.\end{array}$

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer-b, d

Explanation- as given motion is two-dimensional motion and given that instantaneous speed v_o is positive constant. Acceleration is rate of change of velocity. hence it will also be in the plane of motion.

Candidates can keep the following points in mind while selecting the right college for Forensic Medical Science:

• Check for recognition & accreditation: Make sure the college is affiliated with a recognised university and has proper lab facilities.

• Look at practical exposure: A good forensic Science college must offer hands-on training, internships, and links to crime labs or hospitals.

• Review placement & faculty quality: Experienced faculty and industry connections can boost learning and job opportunities.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer- d

Explanation – speed = total distance travelled /time taken

Total distance travelled = path length

= speed $*$ time

We should be very careful with the fact, that speed is related with total distance covered not with displacement.

Forensic Medical Science can help police determine cause of death, time of death, injury patterns etc. It is vital if you are going to do serious research in the field of Forensic Medical Science, as the experts will do post-mortem interpretation of the findings made available to police, they will conduct their investigations regarding toxic substances, and they query trace evidence through forensic laboratories - taking medical Science to jury.

Yes, you can progress to a PhD if you have a registered recognition Masters degree in Forensic Medical Science or a related area, a PhD in Forensic Medical Science allows you to study issues related to forensic Science on a very advanced level in areas such as forensic toxicology, forensic anthropology or DNA, etc. It helps you with respect to teaching, research and senior investigator pursuit.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer- b

Explanation – we know that impulse J= f. $?t$ = $?p$ , where F is force . $?t$  is time duration and $?p$  is change in momentum. As $?p$ is a vector quantity, hence impulse is also a vector quantity. Sometimes area can also be treated as vector.

No, to become a forensic pathologist you are first required to complete MBBS, you then continue to training with an MD in Forensic Medicine. 

Background in Forensic Medical Sciences will help you to work in laboratories, investigation teams or assist in medico-legal type work - but will not qualifying you to conduct post-mortems or sign legal medical reports, like a pathologist would.

No, IIPH-Hyderabad does not offer free seats. Students have to pay a minimum registration/ admission fees at the time of admission to confirm their seats. The college may offer scholarships and tuition fee waivers to the eligible students. To get more information about the fee structure of the college, students need to visit the official website of the college.