The sensitivity of a moving coil galvanometer can be increased by decreasing

The Wheatstone bridge is an arrangement of four resistances \( R_1, R_2, R_3, R_4 \) as shown in the figure given below. The null-point condition is not given by:

A cylindrical, straight long wire having radius 'a' is carrying current 'I' uniformly distributed inside the wire. As per Ampere's circuital law, the magnetic field inside the wire at any distance r, (r < a) is given by:

A point source of light is placed at a distance twice the focal length of a converging lens. If the focal length of the lens is f, the intensity of the image of light source on the other side of the lens will be maximum at

There is a parallel plate capacitor of capacitance \( 3 \, \mu \text{F} \). The voltage between the plates is changing at the rate of 8 V/s. The displacement current is :

Which of the following statements is correct for an electric dipole placed along the direction of a non-uniform electric field?

The electric field vector oscillates according to the equation \( \vec{E} = 4 \sin [1.8y + (5.4 \times 10^8)t] \hat{k} \). The equation of magnetic field vector is:

A network of five capacitors is shown in the figure. The total charge stored in the network connected between A and B is :

Which one of the following equation represent Verhulst Pearl Logistic Growth?

Read the passage and answer the following
Microbes are organisms that cannot be seen with the naked eye. They include bacteria, archaea, protists, viruses, prions, and fungi. They account for most of the diversity of life on earth. Far more microbes inhabit a single person's body than there are people on the entire planet. Microbes also dominate in terms of their ability to live and thrive in extreme environments, including clouds, deep-sea volcanoes, springs, ice caps, and animal intestines. Most animals, including humans, exhibit numerous associations with microbes. Our "human microbiome" includes our skin, hair, mouth, and gut.
Select the chemical substances which are produced by some microbes and they can kill or prevent growth of other microbes :

The greatest integer function \(f: R \rightarrow R\) given by f(x) = [x] is:

If \(m\) and \(n\) are respectively the order and degree of the differential equation :
\(\left(\frac{d^2 y}{d x^2}\right)^5+6 \frac{\left(\frac{d^2 y}{d x^2}\right)^3}{\frac{d^3 y}{d x^3}}+\frac{d^3 y}{d x^3}=x^2+5\), then \(:\)

Which of the following is an example of nuclear fusion ?