A gas is enclosed in a container with a volume of 2 liters at a pressure of 1 atmosphere and a temperature of 300 K. If the temperature is increased to 600 K at constant pressure, find the final volume of the gas.
Calculate the orbital speed of a satellite orbiting Earth at an altitude of 300 kilometers. Assume Earth’s radius is 6400 kilometers and g=9.8 m/s² at the Earth’s surface.
“Indian democracy is now ready to shift from a crude First Past the
Post system to a system of Proportional Representation”. Do you
agree with this statement? Give your reasons for or against this
statement.
A force of 50 Newtons acts on an object at an angle of 30 degrees to the direction of motion. Calculate the work done by the force in moving the object a distance of 10 meters along the horizontal.
Two masses, 5 kg and 3 kg, are connected by a light, inextensible string passing over a frictionless pulley. Calculate the acceleration of the system and the tension in the string.
A former Chief Election Commissioner joined a political party and
contested elections. There are various views on this issue. One
view is that a former Election Commissioner is an independent
citizen and has a right to join any political party and to contest
election. According to the other view, leaving this possibility open can affect the impartiality of the Election Commission. So, former
Election Commissioners must not be allowed to contest any
elections. Which position do you agree with and why?
A ball is thrown horizontally from the top of a 20-meter-high building with a speed of 10 meters per second. Calculate the time it takes to reach the ground and the horizontal distance it travels.
The mean score of a class test is 60 with a standard deviation of 8. If five points are added to each score, calculate the new mean and standard deviation.
If the sum of the first 10 terms of an arithmetic sequence is 250, and the first term is 5, find the common difference of the sequence.
Here are some wishes expressed in a conference to discuss a
constitution for a new country. Write against each of these whether
FPTP or Proportional Representation system is more suited to meet
each of these wishes.
a. People should clearly know who is their representative so that
they can hold him or her personally accountable.
b. We have small linguistic minorities who are spread all over the
country; we should ensure fair representation to them.
c. There should be no discrepancy between votes and seats for
different parties.
d. People should be able to elect a good candidate even if they do
not like his or her political party.
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