Inequalities L-12 | Wavy Curve Method (Part D) | By Naman Agarwal | JEE Mains and Advanced | CBSE

A capacitor with capacitance 6 xx 10^(-5) F is charged by connecting it to a 12 -V battery. The capacitor is disconnected from the battery and connected across an inductor with L = 1.50 H . a. What are the angular frequency omega of the electrical oscillations and the period of these oscillations (the time for one oscillation)? b. What is the intial charge on the capacitor? c. How much energy is intially stored in the capacitor? d. What is the charge on the capacitor 0.0230 s after the connecting to the inductor is made? Interpret the sign of the your answer. e. At the times given in part (d), what is the current in the inductor? Interpret the sign of your answer. f. At the time given in part (d), how much electrical energy is stored in the capactior and how much is stored in the inductor?

The electric field part of the electromagnetic wave in vacuum is given by E= 6 cos [1.2 ("rad")/(m) y + 3.6 xx 10^(8) ("rad")/(s) t ] l (N)/(C ) , then find (a) Frequency of propagation (f) (b) Wavelength (lambda) (c) Direction of propagation (d) Amplitude of magnetic field in electromagnetic wave (e) An expression for magnetic field part of the wave.

The formula in which a certain integral involving some parameters in connected with some integrals of lower order is called a reduction formula. In most of the cases the reduction formula is obtained by the process of integrating by parts. Of course, in some cases the methods of differentiation are adopted.Now answer the question:If I_(m,p)=intx^m(a+bx^n)^pdx and I_(m,p)=(x^(m+1)(a+bx^n)^p)/(m+1)-f(m,n,p,b)I_(m+n,p-1) , then the value of f(1,2,3,4) is equal to (A) 8 (B) 10 (C) 12 (D) none of these