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Limitations of the theorem
Since a velocity gradient exists across the tube, the mean velocity of the liquid is to be considered. The viscous drag which comes into play when the liquid is in motion, is not taken into account. In above conservation principle, part of K.E. is converted into heat..
Experiment to verify the laws of limiting friction
Take a block of wood of specific mass, a thread, pulley, a pan and a few weights and arrange them as shown in the figur..
Take a block of wood of specific mass, a thread, pulley, a pan and a few weights and arrange them as shown in the figur..Problems on Limits
Here is a list of problems solved using the identities of limits, standard limits, limits theorem explained above....
Limits (Contd....)
Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose ..
Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose ..Carnot's theorem
Carnot engine is a reversible engine. It can be proved from the second law of thermodynamics that: All reversible engines operating between the same two temperatures have equal efficiency and no engine operating between the same two temperatures can have efficiency greater than this. This theo..
Carnot engine is a reversible engine. It can be proved from the second law of thermodynamics that: All reversible engines operating between the same two temperatures have equal efficiency and no engine operating between the same two temperatures can have efficiency greater than this. This theo..Fundamental Theorem of Calculus
The fundamental theorem of calculus is the statement that the two central operations of calculus, differentiation and integration, are inverse operations: if a continuous function is first integrated and then differentiated, the original function is retrieve..
Bayes Theorem, Binomial and Poisson Distributions
Introduction - Suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. Baye's theorem is named after the British mathematician Thomas Bayes who published it in a ..
Introduction - Suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. Baye's theorem is named after the British mathematician Thomas Bayes who published it in a ..Experiment to determine the frequency of a tuning fork using a sonometer (absolute method)
. When it is at rest, on placing the vibrating tuning fork on the sound box, the paper rider is found to vibrate vigorously and may be thrown off. The resonating length AC = L is measured using a metre scale. The experiment is repeated by gradually increasing the load W 2 in steps of 1Kgw..
. When it is at rest, on placing the vibrating tuning fork on the sound box, the paper rider is found to vibrate vigorously and may be thrown off. The resonating length AC = L is measured using a metre scale. The experiment is repeated by gradually increasing the load W 2 in steps of 1Kgw..central limit theorem experiment
Before describing the limits of trigonometric functions, we state few theorems along with Sandwich theorem, which helps in calculating a variety of limits in subsequent chapter..
AP Probability And Statistics
Probability problems with finite sample spaces Conditional probability Discrete/continuous random variables Mean, variance of discrete random variable Standard distributions Mean, standard deviation of normally distributed random variable Central limit theorem Line..
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