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Gouher D.
IIT B.Tech graduate in Mechanical Engineering, loves teaching Maths, Physics and Chemistry
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Chemistry
TutorMe
Question:

How many moles of hydrogen atoms are present in 20g ?

Gouher D.
Answer:

1g Hydrogen contains 1 mole hydrogen atom. Hence, 20g Hydrogen will contain 20 mole H-atom. Ans or, Since molar mass of H = 1g/mol Hence number of moles = mass/Molar Mass = 20/1 = 20 moles Ans

Calculus
TutorMe
Question:

Is the function defined by f: R-> R f(x) = x-[x] differentiable ?

Gouher D.
Answer:

Let's check for continuity first. At integer points c=Z Left hand limit = x->c- Lim x-[x] = c-1 Right Hand limit - x->c+ lim x-[x] = c f(c) = c Since LHL is not equal to RHL, hence it is not continuos. For a function to be differentiable, it should be continuous first. Since this function is not continuous, hence it is not differentiable.

Physics
TutorMe
Question:

If y=x^2, then find the fractional error in the measurement of y given fractional error in measuring x is 10%.

Gouher D.
Answer:

Since y = x^2 => Dy/y = 2Dx/x Hence, Fractional error in y = Dy/y*100 = 2*10% = 20%

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