The angle of dip at a location in Southern India is about 18°. Which of the following is correct for dip angle in Britain ?
(A) Dip angle will be greater in Britain than in India.
(B) Dip angle will be smaller in Britain than in India.
(C) Nearer the place to the poles, lesser is the dip angle.
(D) Nearer the place to the poles, more is the dip angle.
(E) Dip angle is also called the angle of declination.

Arrange these in ascending order of wavelength while propagating through different medium.
(A) Light propagating in air
(B) Light propagating in water
(C) Light propagating in diamond
(D) Light propagating in glass
Choose the correct answer from the options given below :

The angular momentum of an electron moving in the circular path of diameter D in a uniform magnetic field \( B_0 \) is:

An alternating emf \( \varepsilon = 220 \sin(50\pi t) \) is applied to an inductive circuit having self-inductance \( L = \sqrt{2} \pi^{-1} \text{ H} \). What will be the reading of an a.c. ammeter connected in the circuit?

In a Young's double slits experiment, the source is white light, one of the hole is covered by a red filter and another by a blue filter. In this case:

With the rise in temperature, the electrical resistance

Identify the basic features of the photon picture of electromagnetic radiation from the following:
(A) Each photon has energy \(E = h\nu\) in vacuum.
(B) Photons are electrically neutral and are not deflected by electric and magnetic fields.
(C) All photons of light of a particular frequency \(\nu\) or wavelength \(\lambda\) have the same energy and momentum.
(D) If the intensity of light of a given wavelength is increased, there is an increase in the number of photons incident on a given area in a given time.
Choose the correct answer from the options given below:

Identify the correct products formed during the oxidising reaction of permanganate ion with sulphite ion in acidic solution
A. \(\text{2OH}^-\)
B. \(\text{2Mn}^{2+}\)
C. \(\text{3H}_2\text{O}\)
D. \(\text{MnO}_2\)
E. \(\text{5SO}_4^{2-}\)
Choose the correct answer from the option given below:

The area (in sq. units) bounded by the parabola \(y^2=16 x\) and its latus rectum is

Match List-l with List-ll

List-l	List-ll
(A) \(f(x)=x \cdot \sin x\)	(I) is not continuous at \(x=-3\)
(B) \(f(x)=\frac{|x|}{x}, x \neq 0\) and \(f(x)=1\) at \(x=0\)	(II) is continuous everywhere
(C) \(f(x)=x-[x],[x]\) denotes greatest integer function	(III) is not differentiable at \(x=1\)
(D) \(f(x)=e^{|x-1|}\)	(IV) is not continuous at \(x=0\)

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The corner points of the bounded feasible region determined by the system of linear constraints are (15,0), (40,0), (4, 18) and (6, 12). If objective function is Z = 30x + 20y then the sum of the maximum and the minimum values of Z is

Reduction of nitrobenzene by which of the following reagent does not give aniline?

Answer the question on the basis of passage given below:
Aldehydes are generally more reactive than ketones in nucleophilic addition reactions due to steric and electronic reasons. Sterically, the presence of two relatively large substituents in ketones hinders the approach of nucleophile to carbonyl carbon more than aldehydes having only one such substituent Electronically aldehydes are more reactive than ketones because two alkyl groups reduce the elctrophilicity of the carbonyl more effectively than in former.
4-Hydroxy-4-methylpentan-2-one and 4-methylpent-3-en-2-one are the products obtained from A by aldol
condensation. \(A\) is: