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Yes, you can take admission to undergraduate medical and dental courses in India through the NEET (National Eligibility cum Entrance Test). The fee for NEET-UG registration for the General category is INR 1700, while it's INR 1600 for EWS/OBC-NCL and INR 1000 for SC/ST/PwD candidates. Foreign candidates have a higher fee of INR 9500.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer-d

Explanation- for small objects  sizes less than 100 m centre of mass very close with the centre of gravity of the body. But when the size of object increases it weight changes and its CM and CG become far from each other.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer-a, c

Explanation- a geostationary satellite is having same sense of rotation as that of earth i.e west east direction.

A polar satellite goes around earth's pole in north south direction.

IIEST Shibpur recorded decent placements annually for its BTech, MTech, BArch and MBA courses. As of June 30, 2025, a total of 135 recruiters participated during the IIEST Shibpur placements 2025 and presented 546 job offers to the students of the Class 2025. The key highlights of IIEST Shibpur placements for the Class of 2024 and 2025 are presented below:

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer-a,c,d

Explanation- F₁=-F₂=- $\frac{r_{12}}{r_{12}^3}G{M}_o^2\left(\frac{m_1{m}_2}{M_o^2}\right)$ ⁿ

r₁₂=r₁-r₂

acceleration due to gravity ,g = F/mass= $\frac{G{M}_o^2({m_1{m}_2)}^n}{r_{12}^2{\left(M_o\right)}^{2n}}*\frac{1}{mass}$

as g is constant hence constant of proportionality will not be constant in kepler's third law.

Hence kepler's law will not be valid.

For negative n, g= $\frac{G{M}_o^2{\left(m_1{m}_2\right)}^{-n}}{r_{12}^2{\left(M_o\right)}^{-2n}}*\frac{1}{mass}$

= $\frac{G{M}_o^{2(1+n)}}{r_{12}^2}\frac{{{(m}_1{m}_2)}^{-n}}{mass}$

M_o>m₁ or m₂ so objects lighter than water will sink

Takshashila University charges different total fees for different BSc courses. This happens because the tuition fees charged differ for most of the BSc specialisations. Apart from the tuition fees, students are also required to pay other fee components, such as hostel fees. Check out the below table to know the complete fee structure:

Note: The fee mentioned above is as per the official sources. However, it is indicative and subject to change.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer-c, d

Explanation- Gravitation force F= $\frac{GMm}{r^2}$   where M is mass of sun and m is mass of earth.

When G decrease force will also decrease so according to this it will not in the fixed circular orbits around the sun. as when radius increases the force will decreases and soon earth leave the solar system.

The deadline to apply to Shri Vishwakarma Skill University for all UG courses, including BBA, was 25 June 2025. Candidates were required to adhere to this due date to submit their applications on time. Those interested had to visit the official website to fill out the online form within the stipulated timeframe. However, the deadline was tentative and subject to change.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer-a, c, d

Explanation-due to the huge amount of charges on the sun and the earth electrostatics force of attraction will be large. Gravitational force is also attractive in nature have both forces will be added and obeys kepler's law also.

Students can decide if the BSc programme at Amity University Noida aligns with their goals by evaluating key aspects like available specialisations, course curriculum, faculty expertise, internship and placement opportunities, fee structure, and feedback from current or past students. Comparing these factors with other colleges will help in making an informed choice.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer-a, c, d

Explanation- G’=10G

Consider the diagram

Force on the objects due to the earth = $\frac{G^{\text{'}}Mm}{R^2}=\frac{10GMm}{R^2}$

= (10g)m= 10mg

Force on the objects due to the sun F= $\frac{GM\text{'}m}{r^2}=\frac{GMm}{10r^2}$

As r>>R  so F will be very small

So effect of sun will be neglected

Now g’=10g

Hence weight of person =10mg

So gravity pull on the person will increase, due to it walking on ground would be more difficult

Critical velocity V_c is proportional to g

So V_{c $\propto g$}

V’>g

V_c’>V_c hence rain will fall faster. To overcome the increased gravitational force of the earth the aeroplane will have to travel much faster.

Yes, at Takshashila University, students are offered scholarships on the basis of marks obtained in the qualifying examination. The amount of scholarship depends on the marks obtained by the student in Class 12 examinations. Check below to know the amount based on marks obtained in Class 12:

• 60% – 75%: 10% scholarship in tuition fees per year
• Above 75% – 90%: 25% scholarship in tuition fees per year
• Above 90%: 50% scholarship in tuition fees per year

Yes, Takshashila University has many scholarships and fee waiver schemes for students enrolled in the BSc courses. These scholarships are offered based on students' performance in the qualifying examination. Moreover, students must note that these scholarships are offered based on a first-come, first-served basis. Thus, students interested in taking scholarships must apply timely.

This is a short answer type question as classified in NCERT Exemplar

Bulk modulus of rubber is 9.8×10⁸ N/m²

density of sea water is 10³ kg m^-3

percentage decrease in volume $\frac{?V}{V}\times 100=0.1$

$\frac{?V}{V}=\frac{1}{1000}$

Let the rubber ball be taken up to depth h.

Change in pressure =h $\rho$ g

Bulk modulus K= $\frac{p}{\frac{?V}{V}}=\frac{h\rho g}{\frac{?V}{V}}$

So h = $\frac{k\times ?V/V}{\rho g}=\frac{9.8\times {10}^8\times 1/1000}{{10}^3\times 9.8}=100m$