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

Explanation- As density of the shell is constant

So mass of shell = density (volume)

= $\rho \left(\frac{4}{3}\pi R^3\right)=M$

If we consider shell is uniform so F=gravitational force =GMm/r²

F=0 for r

= GM/r² for r>R

Variation of f verses r

Yes, it is very helpful for school exams. The Olympiad exams follow the same syllabus taught in school. They help students improve their basics and boost confidence. Preparing for Olympiads sharpens logical and analytical thinking. It also prepares students for competitive exams in the future.

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

Explanation- Inside a small spaceship orbiting around the earth, the value of acceleration due to gravity can be calculated as constant and hence astronaut feels weightlessness.

If the space station orbiting around the earth has a large size such that variation in g matters in that case astronaut inside the spaceship will experience gravitational force and hence can detect gravity.

Graduates of the BSc specialisations at Nazareth College of Arts and Science have diverse career opportunities. Visual Communication students can work as Graphic Designers, Multimedia Designers, Animators, UI/UX Designers, or Art Directors, with salaries ranging from INR 3.9 LPA to INR 9.1 LPA. Computer Science graduates can pursue roles like Software Developer, Web Developer, Data Analyst, Mobile App Developer, or Java Developer, earning between INR 3.3 LPA and INR 8.5 LPA, reflecting strong industry demand.

Explanation- A body can be shielded from the gravitational influence of nearby matter because gravitational force between two point mass bodies is independent of the intervening medium. we cannot shield a body from gravitational influence of nearby matter.

This is a  Short Answer Type Questions as classified in NCERT Exemplar
Explanation- Yes, a body can have inertia but no weight. When we taken body to the centre of earth its has some inertia but no weight .

Yes, Humboldt University of Berlin accepts students belonging to both local and international level. However with an Humboldt Uni acceptance rate of just 18% it is to be noted that the admission criteria of the university are rather selective. The total no. of international students enrolled at Humboldt University of Berlin campus is around 6,154.

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

Explanation- Gravitational forces acting between two point masses m₁ and m₂, F= Gm₁m₂/r² is independent of nature between them. So the gravitational force will remain unaffected when dipped in water.

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

Explanation-areal velocity of earth and sun

dA/dt=L/2m

where L is angular momentum

but we know L= r $*P=r\left(mv\right)$

dA/dt=1/2m (r $*mv$ )=1/2 (r $*v$ )

so dA/dt direction will be perpendicular to the plane containing r and v

Anil Neerukonda Institute of Technology and Sciences has provided impressive placements to its students. Check out the table below to know more about the placement highlights in the past three years at Anil Neerukonda Institute of Technology and Sciences:

Nazareth College of Arts and Science has a diverse range of recruiters participating in its placement drives. Some key names include Larsen & Toubro Infotech, TCS BPS, Infosys BPO, Sundaram Finance, Tech Mahindra, Sutherland Global Services, Star Health Insurance, Mphasis, CAMS Outsourcing, and Qspiders. These recruiters highlight the college's strong industry connections and career support for BSc students.

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

Explanation-

areal velocity of a planet revolving around the sun is constant with respect to time.

The highest package in Anil Neerukonda Institute of Technology and Sciences has been fluctuating over the years. Check out the table below to know more about the highest packages recorded in recent years at Anil Neerukonda Institute of Technology and Sciences:

Dr. Sudhir Chandra Sur Institute of Pharmaceutical Science and Technology offers only one single course in the field of Pharmacy, i.e., Diploma in Pharmacy. The duration of the programme is two years. There are a total of 60 seats available for the programme. 

Explanation- examples of central force – gravitational force and electrostatic force

Examples of non central force = nuclear force, magnetic force acting between two current carrying loops etc.

To get admission to the BBA course at Shikshapeeth College of Management and Technology, candidates must fulfill the minimum eligibility criteria in the first place. Candidates who passed Class 12 in any stream. Admission to this course is merit and entrance-based, followed by group discussion/ PI. Candidates who do not meet the last educational qualification set by the college are not eligible for BBA admissions.

BSc students must carry essential documents such as their Class 12 marksheet, transfer certificate, passport-sized photographs, ID proof, and other relevant academic records for verification. The exact list of documents may vary, so students should check the official NCAS website for an updated document checklist before appearing for verification.

Anil Neerukonda Institute of Technology and Sciences has not released its course wise placement statistics for 2025 placement drive. Refer to the table below to know about the overall placement highlights at Anil Neerukonda Institute of Technology and Sciences: