Three capacitors, C1, C2, C3 are connected in series. This combination is connected in parallel with capacitor C4. C1 = C2 = C3 = 30 \( \mu F \) and C4 = 10 \( \mu F \). Now a potential 400 V is applied across the combination. The total charge across the combination of capacitors is

A light wave has a frequency of \( 4 \times 10^{14} \, \text{Hz} \). Find the difference in its wavelengths in alcohol of refractive index 1.35 and glass of refractive index 1.5 :

Identify the incorrect statement(s) among the following:
when a dielectric medium is introduced between the plates of a charged capacitor:
(A) If a plate of dielectric constant k, thickness t is placed between the plates of a charged capacitor of area A and distance d, then the new capacitance will be \( \frac{A\varepsilon_0}{d - t(1 - 1/k)} \)
(B) The electric field between plates of the charged capacitor when the dielectric is introduced will be \( E = (E_0 - E_p) \)
(C) Dielectric constant of the dielectric placed between plates of charged capacitor will be \( k = \frac{E_0}{E_0 - E_p} \)
(D) Dielectric strength of the dielectric is the maximum value of the electric field which may be applied before its breakdown.
Choose the correct answer from the options given below :

In a series LCR circuit, \( R = 1 \text{ k}\Omega, C = 2 \text{ } \mu\text{F} \) and the voltage across R is 100 V at resonant frequency \( \omega = 200 \text{ rad/s} \). At resonant frequency, the voltage across L is:

The element having the highest binding energy per nucleon among the following is :

The shortest wavelengths in the hydrogen spectrum, in decreasing order, for spectral series Pfund, Balmer, Brackett, and Lyman are :

A particle is dropped from height H. The de-Broglie wavelength of the particle as a function of height is proportional to:

Figure shows a coil C connected to a galvanometer G. When the North-pole of a bar magnet is pushed towards the coil, the pointer in the galvanometer deflects. Regarding this set up, the following statements are given:
(A) It indicates the presence of electric current in the coil.
(B) The deflection is found to be smaller when the magnet is pushed towards the coil faster.
(C) There is repulsion in the moving magnet and the magnetic pole induced in the coil facing towards the N pole of the magnet.
(D) If the bar magnet does not move, there is no induced current in the coil.
Choose the correct answer from the options given below:

If \(A=\left[\begin{array}{lll}2 & -3 & 4\end{array}\right], B=\left[\begin{array}{l}3 \\ 2 \\ 2\end{array}\right]\)
\(X=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right], Y=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]\)
then \(A B+X Y=\)

Which of the following phenomenon can be explained by the wave picture of light
A. Photo-electric effect
B. Compton effect
C. Polarisation
D. Diffraction
Choose the correct answer from the options given below:

A charging capacitor has

Oral pills used by females for contraception consists of combination of:

Match List I with List - II.

List - I	List - II
(A) Pollination by water	(I) Honey bee
(B) Chasmogamous and Cleistogamous flowers	(II) Zostera
(C) Pollination by wind	(III) Oxalis
(D) Pollinating agent	(IV) Maize

Choose the correct answer from the options given below :