A solenoid has a core of a material with relative permeability 400. The windings of the solenoid are insulated from the core and carry a current of 1 A. If the number of turns is 800 per metre, the magnetic field inside solenoid will be

In transmission of power from generation plants to users, transformers are used. Identify the correct reason to choose appropriate transformers.
(A) A step-up transformer is used at the generation plant and high voltages are transmitted.
(B) A step-down transformer is used at the generation plant and low voltages are transmitted.
(C) A step-up transformer lowers the current and hence loss due to joule heating is less.
(D) A step-down transformer lowers the current and hence loss due to joule heating is less.
Choose the correct answer from the options given below:

A circular loop of 20 turns carries a current of 5.0 A. If the magnetic field at the centre of the loop is 1.57 mT, the radius of the loop would be :

In a compound microscope, the distance between objective lens and eye lens is always:

An electron moves around the nucleus in a hydrogen atom of radius 0.05 nm with a velocity of \( 2 \times 10^6 \text{ m s}^{-1} \). The magnetic field produced at the centre of the nucleus is:

The magnetic field of a light wave at given time parallel to y-axis and is given by \( B = B_m \sin(kz - \omega t) \). In what direction does the wave travel and parallel to which axis does the associated electric field point at that time?

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

The system of equations \(2 x+\lambda y=8, \lambda x+8 y=3\) has a unique solution if the value of \(\lambda\) is (are):

Which of the following statements are true ?
A. Noble gases have low M.P. or B.P. due to weak dispersion forces
B. All noble gases have completely filled \(ns^2np^6\) electronic configuration
C. \(XeF_2\) and \(XeF_6\) are colourless crystalline solid
D. \(XeO_3\) has pyramidal geometry
Choose the correct answer from the options given below :

Match List I with List II

LIst - I	List - II
(A) The present value of an immediate perpetuity of ₹R payable at end of any year forever at rate of i per period is:	(I) \(\frac{R}{i}(1+i)^m\)
(B) Present value of deferred perpetuity is	(II) \(\frac{A i}{(1+i)^n-1}\)
(C) Periodic payment R in a sinking fund is given by formula (for Amount A)	(III) \(A(1+i)^{-n}\)
(D) The present value of redemption price A of a bond is given by	(IV) \(\frac{R}{i}\)

Acidified potassium dichromate oxidises iodides to \(\underline{X}\), sulphides to \(\underline{Y}\) and tin (II) to \(\underline{Z}\). \(X\), \(Y\) and \(Z\) respectively are:

The role of cryolite in the metallurgy of aluminum is:-

Read the passage carefully and answer the following questions
Aldehydes, carboxylic acids and ketones are widespread in the animal and plant kingdoms. They play a pivotal role in various biochemical processes of life. Their presence in nature adds fragrance and flavor. These compounds are widely used in food products, pharmaceuticals, paints, resins and other important product industries. These compounds are prepared by various laboratory methods, which mainly include oxidation, formylation, acylation and reduction. Due to the polar nature of the carbonyl group in aldehydes and ketones, they can exhibit different reactions like nucleophilic addition. They do exhibit redox and various condensation reactions which lead to the formation of various important compounds. On the other hand, the carboxylic acids are mainly prepared by oxidation and hydrolysis of different compounds. The carboxylic acid consists of a carbonyl group and the hydroxy group (attached to the carbonyl carbon atom). This makes it possible for the carboxylic acid to participate in various chemical reactions which involve cleavage of the C-OH bond and the O-H bond along with the reactions involving the complete - COOH group.
Identify the incorrect statement for Cannizaro reaction.