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Sanisundra 05/10/2024 in  Exam Coaching/IIT JAM Coaching

What is the syllabus for IIT JAM mathematics?

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Sandhya replied | 2 days ago

The IIT JAM Mathematics syllabus includes Real Analysis, Multivariable Calculus, Differential Equations, Linear Algebra, and Algebra. Key topics within these sections are sequences and series, limits, continuity, differentiation, integration, matrices, vector spaces, eigenvalues, eigenvectors, and group theory. 

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Shubham 05/10/2024 in  Exam Coaching/IIT JAM Coaching

How should I prepare for the IIT JAM economics?

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Sandhya replied | 2 days ago

To prepare for the IIT JAM Economics exam, first, thoroughly understand the syllabus focusing on Microeconomics, Macroeconomics, Mathematical Economics, and Statistics. Create a detailed study plan and focus on conceptual clarity rather than rote memorization. Practice a high volume of numerical problems and solve previous years' question papers and mock tests to get familiar with the exam pattern, time management, and your weak areas. 

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Sreedevi 06 Jan in  Dance/Choreography/Kathakali Dance Classes

How is the word “kathakali” formed? What does it mean?

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Suraj replied | 2 days ago

It translates to "Katha" which means "Story" and "Kali" meaning "Play" in Malayalam. It means to tell stories(Hindu mythological) using bodily/facial expressions and is performed at dedicated sanctums primarily.

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Prakash 06 Jan in  Dance/Choreography/Kathakali Dance Classes

Why is Kathakali performed?

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Suraj replied | 2 days ago

"Kathakali" is traditional art form from Kerala. Basically it is done to convey the "epics" (stories) to the audience via facial expressions and bodily gestures, topped with special makeups/outfits/traditional music(story/singing is done by dedicated members and Kathakali artist is not allowed to speak but to express). It's generally perfomed in Temple/associated cultural places and the stories are typically extracts from Hindu mythology.

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Sitaram 05/01/2022 in  CBSE/Class 8/Science/Force and Pressure

6. If the area of head is 15cmX15cm, how much air (in weight) would you carry on your head?

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Sumaiya replied | 2 days ago

Given:

  • Area of head = 15 cm × 15 cm

  • So, A=15×15=225 cm2A = 15 × 15 = 225 \text{ cm}^2

Now we need to find the weight of air above this area — that means we must consider air pressure.


Step 1: Standard atmospheric pressure

At sea level,

1 atmosphere=1.013×105 N/m21 \text{ atmosphere} = 1.013 \times 10^5 \text{ N/m}^2


Step 2: Convert area from cm² to m²

225 cm2=225×104 m2=0.0225 m2225 \text{ cm}^2 = 225 × 10^{-4} \text{ m}^2 = 0.0225 \text{ m}^2


Step 3: Force on the head due to air pressure

Force=Pressure×Area\text{Force} = \text{Pressure} × \text{Area} F=1.013×105×0.0225=2280 N (approximately)F = 1.013 × 10^5 × 0.0225 = 2280 \text{ N (approximately)}


Step 4: Convert force to equivalent weight (mass)

Weight=mg    m=Fg\text{Weight} = mg \implies m = \frac{F}{g}

Using g=9.8 m/s2g = 9.8 \text{ m/s}^2:

m=22809.8232.65 kgm = \frac{2280}{9.8} ≈ 232.65 \text{ kg}


Final Answer:
You are carrying approximately 230 kilograms of air on your head due to atmospheric pressure!

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