An infinitely long straight conductor carries a current of 150 A. At what distance from the conductor is the magnetic field caused by the current equal to \( 10^{-4} \text{ T} \)?

Match List-I with List-II

List-I (Electric Field)	List-II (Expression)
(A) Field due to an infinitely long straight uniformly charged wire	(I) \(\sigma\left(2 \varepsilon_0\right)^{-1}\)
(B) Field due to a uniformly charged thin spherical shell (inside the shell)	(II)\(q\left(4 \pi \varepsilon_0 r^2\right)^{-1}\)
(C) Field due to a uniformly charged infinite plane sheet	(III) \(\lambda\left(2 \pi \varepsilon_0 r\right)^{-1}\)
(D) Field due to a uniformly charged thin spherical shell (outside the shell)	(IV) zero

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A proton and \(\alpha\)-particle have same kinetic energy. The de-Broglie wavelength ratio \( \frac{\lambda_p}{\lambda_{\alpha}} \) is equal to:

Which of the following statements are true?
(A) Rheostat can be used both as a variable resistance and a potential divider.
(B) An electrical circuit is functional only if all the components of the circuit are connected in proper order, assuming that all circuit components/ devices are in working condition and key is closed.
(C) An open circuit means a break in some part of a circuit which could be deliberate such as a key in open position or a fault such as broken wire or burnt out component(s) or loose connection.
(D) Rheostat as a potential divider gives variable resistance.
Choose the correct answer from the options given below:

In a compound microscope the focal length of objective lens and eye lens are 4 em and 10 cm respectively. An object is placed at 6 cm from the objective lens. If the final image is formed at the near point of eye, then the magnifying power of microscope is:

The distance between two point charges \(q_1 = 5\) mC and \(q_2 = -10\) mC in vacuum so that electrostatic force of attraction between them is 50 kN is :

Polaroids A and B are placed with their axes perpendicular to each other. Unpolarised light of intensity \(I_0\) is incident on A. A third polaroid C is kept between A and B such that its axis makes an angle of \(30^\circ\) with that of B. The Intensity of transmitted light through B is:

Identify the contraceptive measure which can not be practiced by human females:

Amniocentesis should not be used for:

Consider the function \(f: N \rightarrow N\) given by \(f(x)=\left\{\begin{array}{ll}x+1, & \text { if } x \text { is odd } \\ x-1, & \text { if } x \text { is even }\end{array}\right.\)

The temp at which the resistance of a conductor becomes 30% more than that of its resistance at \( 47^\circ \text{C} \) will be : (given the value of temperature coefficient of resistance of the conductor is \( 2 \times 10^{-4} \text{ K}^{-1} \))

The effective rate per annum equivalent to a nominal rate of \(8 \%\) compounded semi-annually is

The current gain of a transistor in a common base arrangement is 0.95. Find the voltage gain if the load resistance of output circuit is 200 \( \text{k}\Omega \) and the input resistance is 200 \( \Omega \)