There are four media in which light is traveling. The speed of light in each medium along with relative permeability of the medium are given as below. Arrange the relative permittivity of each of the medium in increasing order.
(A) Medium I: \( v_1 = 2 \times 10^8 \, \text{m/s}, \mu_r = 1 \)
(B) Medium II: \( v_{II} = 1.5 \times 10^8 \, \text{m/s}, \mu_r = 1 \)
(C) Medium III: \( v_{III} = 3 \times 10^8 \, \text{m/s}, \mu_r = 1 \)
(D) Medium IV: \( v_{IV} = 2 \times 10^8 \, \text{m/s}, \mu_r = 2 \)

Consider the figure as shown below. If work done in bringing a point charge from infinity to points A, B and C are \( W_A, W_B \) and \( W_C \) respectively, then, which of the following relation is correct?

Three capacitors, C1, C2, C3 are connected in series. This combination is connected in parallel with capacitor C4. C1 = C2 = C3 = 30 \( \mu F \) and C4 = 10 \( \mu F \). Now a potential 400 V is applied across the combination. The total charge across the combination of capacitors is

A parallel beam of light of wavelength 500 nm is incident normally on a slit of width d. If the distance between slit and screen is 0.6 m and distance of second order minimum from the centre of the screen is 6.0 mm, What is the width of the slit?

In the given circuit when steady current flows, the potential drop across the capacitor is:

A parallel plate air capacitor has a capacity C, distance of separation between its plates is x and potential difference applied across the plates is V. What is the force of attraction between the plates of the parallel plate air capacitor?

The half-lives of two radioactive specimens are \(T_1=5\) years and \(T_2=7.5\) years.
The ratio of their disintegration constants \(\lambda_1\) and \(\lambda_2\) is:

Thorn of Bougainvillea and tendril of Cucurbita represent:

Two polaroids \( P_1 \) and \( P_2 \) are set in crossed positions. A third polaroid \( P_3 \) is placed between the two making an angle \( \alpha \) with the axis passing from the first polaroid \( P_1 \). In what orientation will the transmitted intensity be maximum?

Observe the figure and answer the following:

The given diagram represents stages (A-E) of development of the embryo sac in angiosperms. Which of the following correctly identifies the structure labelled (ii), (iii), (iv), (v), and (vi) in figure E?

Darwin's finches and Australian marsupials are an example of:

Consider the region bounded by the lines \(y-1=x, x=-2, x=3\) and \(x\)-axis. Then,
(A) The area of the bounded region is given by \(\int_{-2}^3(x+1) d x\)
(B) The numerical value of the area is \(\frac{15}{2}\) sq. units
(C) The numerical value of the area is 8 sq . units
(D) The numerical value of the area is \(\frac{17}{2}\) sq. units
Choose the correct answer from the options given below:

Read the passage carefully and answer the questions
Carbohydrates are naturally formed organic compounds from various plants. The common chemical formula, \(C _x\left( H _2 O \right)_y\), was considered as hydrates of carbon to derive the various carbohydrates. For instance, the general formula for glucose ( \(C _6 H _{12} O _6\) ) easily fits into the above formula. Carbohydrates also called saccharides are classified on the basis of their behavior towards hydrolysis. Monosaccharides cannot be hydrolyzed further to simpler units of polyhydroxy aldehyde or ketones. About 20 monosaccharides are known to occur in nature. Carbohydrates that yield large number of monosaccharide units are called polysaccharides. Amino acids contain ( \(- NH _2\) ) and ( - COOH ), which can be classified in various forms. Proteins are polymers of alpha amino acids which are connected to each other by a peptide bond or peptide linkage. When a native protein is subjected to physical change, its globules unfold and helix get uncoiled and the protein loses its biological activity. The protein is said to be denaturated.
Which of the following statements is incorrect for Lactose ?