A long straight wire carries a current of 35 A. The magnitude of the field \( \vec{B} \) at a point 20 cm from the wire would be:

A glass beaker contains water upto a height \( h_1 \) and kerosene oil above water upto height \( h_2 \). If the refractive index of water is \( \mu_w \) and that of oil is \( \mu_k \), then what will be the apparent shift in the position of the bottom of the beaker when viewed from above ?

The least distance of distinct vision of a person is 50 cm. He wants to read a book placed at 25 cm. The focal length of the spectacles would be :

A non-polar dielectric material is placed in an external electric field. Choose the correct statement(s) from the following:
(A) There will be no change in the positions of positive and negative charges inside the dielectric.
(B) The positive charges of molecules will shift opposite to the direction of the electric field.
(C) The negative charges of molecules will shift in the direction of the electric field.
(D) The positive charges of the molecules will shift in the direction of the field and negative charges of the molecules will shift opposite to the field.
Choose the correct answer from the options given below:

If a straight conductor of length 0.5 m is moved with a speed of \( 6 \text{ m s}^{-1} \) perpendicular to direction of a magnetic field of \( 1 \text{ Wb m}^{-2} \), the emf induced is :

Two Polaroids are placed in such a way that their axes make an angle of 60° with each other. If an unpolarized light is incident on a system of these Polaroids, the fraction of transmitted light to the incident light will be

The essential condition for total internal reflection to occur is :

The Nernst equation corresponding to the cell reaction given below, is
Ni(s) + 2Ag\(^+\)(aq) \(\rightarrow\) Ni\(^2+\)(aq) + 2Ag(s)

What is the structure of anionic coordination sphere in \(\left[ Cr \left( NH _3\right)_6\right]\left[ CuCl _5\right]\) complex?

The rate of change of the area of a circle with respect to its radius r, when r = 3 cm is :

The inverse of the matrix \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right]\) is:

Mr. Jain wishes to purchase a shop for ₹25,00,000 with down payment of ₹2, 00, 000. If he can amortize the balance at 9% per annum compounded monthly for 25 years, what will be his monthly installment if it is given that \(\left(a_{\frac{300}{0.0075}}=119.1616\right)\)?

If A is a square matrix of order 3 and |A| = 5, then | adj A| is: