A charge q is enclosed by a spherical Gaussian surface of radius R. If the radius of the sphere is doubled, how will the outward electric flux change?

If k be the kinetic energy and m the mass of a moving particle then the de-Broglie wavelength of the particle is :

Match List-I with List-II

List-I (Quantity)	List-II (Formula)
(A) Einstein's Photoelectric Equation	(I) \( K_{max} / e \)
(B) De-Broglie Wavelength	(II) \( K_{max} = hc/\lambda - \phi \)
(C) Stopping potential	(III) \( hc/\phi \)
(D) Threshold wavelength	(IV) \( h/p \)

Choose the correct answer from the options given below:

The light of wavelength 600 mm is coming from a star. What is the limit of resolution of a telescope whose objective has a diameter of 2.54 m ?

Identify the correct statement(s) among the following:
(A) The time taken by a light wave is \( 5 \times 10^{-9} \text{ s} \) to travel a thickness of 1 cm of glass having refractive index 1.5.
(B) Two similar waves of amplitude 3 mm and 5 mm reach a point in the same phase. The resultant amplitude will be 8 mm.
(C) Two waves of amplitude 2 mm each reach a point with a phase difference of \( \pi/2 \). The resultant amplitude is zero.
(D) If one of the slits is closed in Young's double slit experiment, the interference pattern will disappear.
Choose the correct answer from the options given below :

When a piece of metal is illuminated by monochromatic light of wavelength λ, the stopping potential for photoelectric current is 2.5 V0. When the same surface is illuminated by light of wavelength 1.5 λ, the stopping potential becomes V0. The value of threshold wavelength for photoelectric emission is:

If potential difference V applied across a metallic wire is increased by V, how will the drift velocity of the electrons change?

If \(f(x)=3 x^2+10 x-5\), then by using differentials the appropriate value of \(f(2.03)\) is

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:

Two pipes P and Q can fill a tank in 26 minutes and 52 minutes respectively.
Both the pipes are opened together for some time and then pipe P is closed.
If the tank is filled in 26 minutes, then after how many minutes pipe P is closed?

The characteristics of Baculoviruses are:
(A) They are used as biological control agents.
(B) They are excellent candidates for species-specific, narrow spectrum insecticidal application.
(C) They are excellent candidates for species-specific, broad spectrum insecticidal application.
(D) No negative impacts on plants, animals, birds, fishes and other non-targeted insects.
Choose the correct answer from the options given below:

Aspartame is most successful artificial sweetener but is only limited to cold food and cold drinks because:

Which of the following is correct about the nature of ligand?