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Consider a gas enclosed in a box. Let the walls have an area of 0.01m2. Let’s say a few molecules having their x-component of velocity =2m/s, hit a wall parallel to the yz plane. What will be the value of force on the wall in time dt? Let the number of molecules per unit volume be 10 & mass of each molecule be 10-20kg.

Correct Answer: 4*10-21N
According to the assumptions of KTG, we will assume that the molecules collide elastically. The total momentum transferred to the wall is 2mv*(1/2)nAvdt. 1/2 has been included because, on average, half the molecules near that wall will be moving away from the wall. Force will be momentum/time = nmAv2 = 10*10-20*0.01*4 = 4*10-21N.

Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour?

Consider a gas enclosed in a box. A molecule of mass m, having a velocity -2i+3j+4k collides with a wall parallel to the xz plane. What will be its velocity after collision and its change in momentum? i,j & k are unit vectors along the x,y & z axis.

Consider a gas inside a box. It exerts some pressure on its walls. Find this value. GIven that number of molecules per unit volume be 20, mass of each molecule 10-20kg, vx2 = 1m2/s2.

"It is now expected that the variable production cost per unit and the selling price per unit will each increase by 10%, and fixed production cost will rise by 25%. What will be the new break even point?
Selling price - Rs 6 per unit
Variable production cost - Rs 1.20 per unit
Variable selling cost - Rs 0.40 per unit
Fixed production cost - Rs 4 per unit
Fixed selling cost - Rs 0.80 per unit
Budgeted production and sales for the year are 10,000 units."

A passage is given with five questions following it. Read the passage carefully and select the best answer to each question out of the given fouralternatives. Teaching about compassion and empathy in schools can help deal with problems of climate change and environmental degradation,” says Barbara Maas, secretary,
Standing Committee for Environment and Conservation, International Buddhist Confederation (IBC). She was in New Delhi to participate in the IBCs governing
council meeting, December 10-11, 2017. “We started an awareness campaign in the year 2005-2006 with H H The Dalai Lama when we learnt that tiger skins were
being traded in China and Tibet. At that time, I was not a Buddhist; I wrote to the Dalai Lama asking him to say that this is harmful and he wrote back to say, “We
will stop this.” He used very strong words during the Kalachakra in 2006, when he said, If he sees people wearing fur and skins, he doesnt feel like living. This sent
huge shock waves in the Himalayan community. Within six months, in Lhasa, people ripped the fur trim of their tubba, the traditional Tibetan dress. The messenger was ideal and the audience was receptive,” says Maas who is a conservationist. She has studied the battered foxs behavioral ecology in Serengeti,Africa. She heads the endangered species conservation at the Nature and Biodiversity Conservation Union (NABU) International Foundation for Nature, Berlin. “I metSamdhong Rinpoche, The Karmapa, HH the Dalai Lama and Geshe Lhakdor and I thought, if by being a Buddhist, you become like this, I am going for it, “says Maas, who led the IBC initiative for including the Buddhist perspective to the global discourse on climate change by presenting the statement, The Time to Act is Now: aBuddhist Declaration on Climate Change, at COP21 in Paris. “It was for the first time in the history of Buddhism that leaders of different sanghas came together to take a stand on anything! The statement lists a couple ofimportant things: the first is that we amass things that we dont need; there is overpopulation; we need to live with contentment and deal with each other and theenvironment with love and compassion,” elaborates Maas. She is an ardent advocate of a vegan diet because “consuming meat and milk globally contributes more toclimate change than all "transport in the world.” Turning vegetarian or vegan usually requires complete change of perspective before one gives up eating their favorite food. What are the Buddhist ways to bringabout this kind of change at the individual level? “To change our behavior, Buddhism is an ideal vehicle; it made me a more contented person,” says Maas, who grewup in Germany, as a sausage chomping, meat-loving individual. She says, “If I can change, so can anybody”. Why did Ms. Barbara Mass say “If I can change, so can anybody”?

Under standard temperature (T) and pressure (P) conditions, 128 g of an ideal gas molecule A occupies a volume of 1 L. The gas molecule A obeys the relationship RT = 0.25 PV. R and V are universal gas constant and ideal gas volume, respectively. The molecule A is

The number of molecules per unit volume in the sample is 20. The mass of each molecule is 10-20kg. The mean of speed squared is 4m2/s2. What is the value of internal energy of the gas? Assume volume of container is 0.02m3.

For the gas absorption, the height of a transfer unit, based on the gas phase is given by (G: superficial molar gas velocity, L: superficial molar liquid velocity, FG: mass transfer co-efficient, mols/m2, a: in-terfacial area per unit volume of tower)

A black body of total area 0.045 m2 is completely enclosed in a space bounded by 5 cm thick walls. The walls have a surface area 0.5 m 2 and thermal conductivity 1.07 W/ m K. If the inner surface of the enveloping wall is to be maintained at 215 degree Celsius and the outer wall surface at 30 degree Celsius, calculate the temperature of the black body

Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?