Equal currents are flowing in four infinitely long wires. The distance between each other is the same and directions of currents are as shown in the figure. The net force on wire 2 is

Choose the correct answer from the options given below:

A galvanometer of resistance G is converted into a voltmeter to measure upto V volts by connecting a resistance \( R_1 \) in series with the coil. If a resistance \( R_2 \) is connected in series with it, then it can measure the \( \frac{V}{3} \) volts. Find the resistance \( R_3 \) in terms of \( R_1 \) and \( R_2 \) required to be connected to convert it into a voltmeter that can read upto 3V volts :

A current is uniformly distributed across the cross-section of cylindrical wire of radius R = 4 mm with current density \( J = 2.5 \times 10^5 \text{ Am}^{-2} \). The amount of current flowing through the outer portion of the wire between radial distance R/2 and R is

Eg (energy band-gap) for silicon is greater than that for germanium. Therefore, it can be concluded that at room temperature:

In a magnetic field,
(A) a charged particle in motion can experience a force
(B) a charged particle at rest, experiences a force
(C) there is no change in the speed of the charged particle
(D) there is a change in the kinetic energy of the charged particle.
Choose the correct answer from the options given below:

If \( \lambda_1 \) and \( \lambda_2 \) are the longest wavelengths of the Lyman and Paschen series respectively, then \( \lambda_1 : \lambda_2 \) is:

The size of the atom is of the order of:

For a square matrix \(A\) of order 3, if \(|A|=2\), then \(|\operatorname{adj}(2 A)|=\)

Which of the following is not a sexually transmitted disease?

Which of the following is the correct sequence of trophic levels in a grazing food chain?

If \(x \sqrt{1+y}+y \sqrt{1+x}=0\), where \(|x|<1,|y|<1\) and \(x \neq y\), then

Read the passage carefully and answer the Questions
A homogeneous mixture of two or more than two components has uniform composition and properties. The binary solutions have two components, which may be solid, liquid or gas. The resultant solution has a larger amount of solvent and a smaller amount of solute. The amount of solute in a given amount of solvent decides the concentration of the resulting solution. The concentration can be expressed in various ways, like molarity, molality, normality and mole fraction. The molality of a 1 liter aqueous solution of \(93 \backslash \% H _2 SO _4\) (mass/volume) is:
(Given: density of the solution \(=1.84 g mL ^{-1}\), molar mass of \(\left.H _2 SO _4=98 g mol ^{-1}\right)\)

For the function \(f(x)=e^x+e^{-x}\)
(A) \(f^{\prime}(x)=e^x-e^{-x}\)
(B) The critical point is \(x=0\)
(C) The minimum value is 1
(D) \(x=0\) is the point of local minimum.
Choose the correct answer from the options given below: