A magician during a show makes a glass lens \( \mu = 1.5 \) disappear in a trough of liquid. The refractive index of the liquid would be :

Identify the correct properties of equipotential surfaces among the following.
(A) No work is done in moving a test charge over an equipotential surface.
(B) Electric field is always normal to the equipotential surface at every point.
(C) Equipotential surfaces are closer together in the regions of the strong electric field and farther apart in the regions of the weak electric field.
(D) No two equipotential surfaces can intersect each other.
Choose the correct answer from the options given below:

A rectangular coil of sides 2 cm and 5 cm having 2000 turns and carrying a current of 200 mA is placed in a uniform magnetic field of 5.0 T directed along positive X-axis. The maximum torque experienced by the coil is

\(V_{ p } < V_{ n }\)
\(V_{ p }>V_{ n }\)
\(V_{ p }>V_{ n }\)
\(V_{ p }>V_{ n }\)
A ray of light incident on an equilateral glass prism of refractive index \( \mu = \sqrt{3} \), travels parallel to the base of the prism inside it. What is the angle of incidence for this ray ?

A telescope has an objective of focal length 30 cm and an eyepiece of focal length 3.0 cm. It is focused on a scale distant 2.0 m. For seeing with relaxed eye, the separation between the objective and eyepiece would be:

In the given circuit, if the potential at A is 50 V, then potential at B is

Which of the following statements are true for a conductor in an external electric field?
(A) Inside a conductor, the electric field is non-zero.
(B) At the surface of a charged conductor, the electric field must be normal to the surface at every point.
(C) The interior of a conductor can have no excess charge in a static situation.
(D) Electrostatic potential is constant throughout the volume of the conductor and has the same value on its surface.
Choose the correct answer from the options given below:

Name the reagent required to convert cyclohexene into hexane-1, 6-dioic acid.

If the net flux through a cube is \( \Phi = 1.05 \, N \, m^2 C^{-1} \), what will be the total charge inside the cube?
(Given: The permittivity of free space is \( \epsilon_0 = 8.85 \times 10^{-12} \, C^2 N^{-1} m^{-2} \)).

Which of the following is a complementary sequence of 5' GAATTC ---- 3'?

Read the passage carefully and answer
Carbohydrates are essential for both plants and animals. Some common examples of carbohydrates are glucose, fructose, sucrose, glycogen, cellulose and starch. They form a major portion of our food. Honey has been used for a long time as an instant source of energy in Ayurvedic medicine. Carbohydrates are used as storage molecules in both plants and animals. The cell wall of bacteria and plants is made of cellulose. We use cellulose in the form of wood for making furniture and as cotton fiber for clothing. They also provide raw material for textiles, paper, lacquers, and breweries. Carbohydrates are classified as Monosaccharides, Oligosaccharides and Polysaccharides on the basis of their behavior towards hydrolysis. Monosaccharides cannot be hydrolyzed further to simpler units whereas oligosaccharides can yield 2-10 units of monosaccharides on hydrolysis. Polysaccharides, which are non-sugars yield a large number of monosaccharide units on hydrolysis.
Answer the following questions about carbohydrates:
Pick the incorrect statement from the following:

The correct statements about \(Cr ^{2+}\) and \(Mn ^{3+}\) are : (atomic number of \(Cr =24\) and \(Mn =25\) )
(A) \(Cr ^{2+}\) is a reducing agent
(B) \(Mn ^{3+}\) is an oxidising agent
(C) Both \(Cr ^{2+}\) and \(Mn ^{3+}\) exhibit \(d^4\) electronic configuration
(D) When \(Cr ^{2+}\) is used as reducing agent chromium ion attains \(d^5\) electronic configuration Choose the \(\backslash\) textbf\{correct\} answer from the options given below :

The unit vector in the xy-plane, making an angle of \(60^{\circ}\) with the positive direction of x-axis is: