The essential condition for total internal reflection to occur is :

The size of the atom is of the order of:

The primary origin of magnetism lies in:

For which of the following, a capacitor acts as an infinite resistance component in the circuit?

The separation between the plates of a parallel plate capacitor of capacitance 2 pF is 0.5 mm . The area of the plates of the capacitor is (Given: \(\varepsilon_0=8.85 \times 10^{-12} C ^2 N^{-1} m^{-2}\) )

Visible light of wavelength 600 nm falls normally on a single slit and diffraction pattern is obtained on a screen. It is found that the second diffraction minima is at \( \frac{\pi}{3} \). If the first minimum is obtained at \( \theta_1 \), then \( \theta_1 \) is:
Given: \( \sin 25^\circ = \frac{\sqrt{3}}{4} \)

A carrier wave of peak voltage 24 V is used to transmit a message signal. What should be the peak voltage of the modulating signal in order to have a modulation index of 70% ?

Read the paragraph and answer the question.
Broadly, genetic disorders may be grouped into two categories - Mendelian disorders and Chromosomal disorders. Mendelian disorders are mainly determined by alteration or mutation in the single gene. These disorders are transmitted to the offspring on the same lines as we have studied in the principle of inheritance. The trait may also be linked to the sex chromosome as in case of haemophilia. It is evident that this X-linked recessive trait shows transmission from carrier female of male progeny.
What is the probability of having a haemophilic child to a carrier mother and a normal father ?

If the matrix \(\left[\begin{array}{ccc}0 & 1 & 4 x \\ -1 & 0 & -5 \\ 2 & 5 & y\end{array}\right]\) is skew-symmetric, then :

In an unbiased p-n junction, holes diffuse from the p-region to n-region because

In the following which plant is also called 'Terror of Bengal'?

The inequality \(\frac{5 x-2}{3}-\frac{7 x-3}{5}>\frac{x}{4}\) holds when

Identify the microbes producing commercially important organic acids and enzymes from the given options:
(A) Trichoderma polysporum
(B) Streptococcus
(C) Clostridium butylicum
(D) Aspergillus niger
Choose the correct answer from the options given below: