When a positive charge (+ q) is brought near one face of a metal cube, the

Eg (energy band-gap) for silicon is greater than that for germanium. Therefore, it can be concluded that at room temperature:

The statement that is NOT true about induced emf is :

The ratio of the wavelengths associated with electrons accelerated with the potentials of 64 V and 81 V, respectively is

Light of uniform intensity shines perpendicularly on a totally absorbing surface, fully illuminating the surface. If the area of the surface is decreased, what is the effect on radiation pressure ?

The ground state energy of hydrogen atom is -13.6 eV. The kinetic and potential energies of the electron in this state will be

A circuit containing a \( \frac{2}{\pi} \text{ H} \) inductor, a \( \frac{40}{\pi} \text{ } \mu\text{F} \) capacitor and a \( 50 \text{ } \Omega \) resistor in series are connected to an a.c. source of emf \( v = 230 \sin 314t \). The amplitude of the current in the circuit is

Although chlorine is an electron-withdrawing group, it is ortho- and para-directing in electrophilic aromatic substitution because:
(A) Chlorine withdraws electrons through inductive effect.
(B) Chlorine stabilizes the intermediate carbocation formed during electrophilic substitution via resonance.
(C) Chlorine donates electrons through resonance.
(D) Chlorine is a deactivating group due to its -1 effect.
Choose the correct answer from the options below:

The electric field vector associated with electromagnetic wave in free space is given by \(E=40 \cos \left(6 \times 10^8 t-k x\right) V m ^{-1}\). The value of \(k\) in SI unit is :

The curve \(x=y^2\) and \(x y=k\) cut orthogonally, then \(k^2\) is equal to :

Match List-l with List-ll.Find the derivatives from List-I.

List-l	List-II
(A) \(y=\sqrt{\sin x+y}\)	(I) \(\frac{-\sin x}{1+\cos y}\)
(B)\(\sin y=x \sin (a+y)\)	(II) \(\frac{\cos x}{2 y-1}\)
(C) \(y+\sin y=\cos x\)	(III) \(\frac{-1}{\sin ^2(x+y)}\)
(D) \(y=\tan (x+y)\)	(IV) \(\frac{\sin ^2(a+y)}{\sin a}\)

Choose the correct answer from the options given below:

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:
Hydrolytic products of maltose are?

The value of \(\tan ^{-1}(-\sqrt{3})+\cos ^{-1}\left(-\frac{1}{2}\right)\) is: