📚 FYUG (NEP) previous year question papers solution

ASSAM UNIVERSITY, SILCHAR

FYUG 1st semester Physics DSC 101 Previous Year Question Papers Solutions

UNIT 5

Beta and Gamma Functions: Beta and Gamma Functions and Relation between them. Expression of Integrals in terms of Gamma Functions.
Solution of Algebraic and Transcendental equations by Bisection, Newton Raphson, Simpson Rule. Interpolation by Newton Gregory Forward & Backward difference formula.

2023

(FYUG PHY-DSC101 )

24. (a) Define beta and gamma functions.

Find the relation between them.

(b) Find the real root of the equation

x3 − 9x + 1 = 0.

25. (a) Explain bisection method of solving differential equation.

(b) Evaluate :

∫01 dx √(1 − xn)

2024

(FYUG PHY-DSC101 )

13. Answer any two from the following :

(a) Show that

β(m, n) = β(n, m)

(b) Define β and Γ functions.

(c) Write down Newton’s forward and backward interpolation formulae.

14. (a) Discuss Newton-Raphson method of solving an algebraic equation.

Using this method, find the value of

√8

(b) Using Simpson’s 1/3 rd rule, evaluate the approximate value of

∫01 dx 1 + x

correct up to 3 decimal point taking

h = 0.25

OR

15. (a) Show that

∫0π/2 sinpθ cosqθ dθ = Γ((p+1)/2) Γ((q+1)/2) 2Γ((p+q+2)/2)

and find the value of

β(1/2, 1/2)

using this formula.

(b) Show that

Γ(m + 1) = mΓ(m)

FYUG PYQ PHYSICS DSC 201

FYUG PHYSICS DSC 101 Question Paper 2023 Click Here
FYUG PHYSICS DSC 101 Question Paper 2024 Click Here

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