A compound contains 40% carbon, 6.67% hydrogen, and 53.33% oxygen by mass. Determine the empirical formula of the compound. If its molar mass is approximately 180 g/mol, calculate the molecular formula.
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.
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