A particle is dropped from height H. The de-Broglie wavelength of the particle as a function of height is proportional to:

If we double the number of turns in a moving coil galvanometer, the voltage sensitivity of the galvanometer

A bar magnet of magnetic moment 5.0 \( A \, m^2 \) has poles 20 cm apart. The pole strength would be

Which of the following combination should be selected for better tuning of an LCR circuit used for communication ?

The electric field in a region is given by \( E = \frac{E_0 x}{b} \). Find the charge contained in the cubical volume bounded by the \( x = 0, x = a, y = 0, y = a \) and \( z = 0, z = a \). Take \( E_0 = 6 \times 10^3 \text{ N/C}, a = 1 \text{ cm} \) and \( b = 2 \text{ cm} \)

To remove an electron from the first orbit to infinity of hydrogen atom, the amount of energy required will be :

A uniform wire of resistance 12 \( \Omega \) is cut into three pieces in the ratio of length 1 : 2 : 3. Now the three pieces are connected to form a triangle. A cell of emf 8 V and internal resistance 5 \( \Omega \) is connected across the highest of the three resistors. The current through the circuit is:

Read the passage carefully and answer the Questions
The term vitamin was coined from the word vital +amine since the earlier identified compounds had amino groups. Later work showed that most of them didn't contain amino groups, so the letter "e" was dropped and ther term vitamin is used these days.
Vitamins are classified into two groups depending upon their solubility in water or fat. Fat soluble vitamins are soluble in fat and oils but insoluble in water. They are stored in liver and adipose (fat storing) tissues. Water-soluble vitamins are soluble in water. They must be supplied regularly in the diet as they are readily excreated in urine.
Which Vitamin is known as Pyridoxine?

Identify the correct relation between the molar mass of solute and Ebullioscopic constant.

Match List-I with List-II
Let A and B be two events such that \(P(A)=0.2, P(B)=0.4, P(B \mid A)=0.5\)

List-I	List-II
(A) \(P(A \cap B)\)	(I) 0.5
(B) \(P(A \mid B)\)	(II) 0.8
(C) \(P(A \cup B)\)	(III) 0.25
(D) \(P\left(A^{\prime}\right)\)	(IV) 0.1

Choose the correct answer from the options given below:

The armature coil of a generator has 20 turns and its area is \( 0.127 \, \text{m}^2 \). How fast approximately should it be rotated in a magnetic field of \( 0.2 \, \text{Wb m}^{-2} \) so that the peak value of induced emf is 160 V?

Value of \(\mu(20)+\sigma(20)\) is (where \(\mu(n)\) is the Mobius function and \(o(n)\) is the sum of all positive divisors of \(n\) )

A single stranded DNA or RNA tagged with a radioactive probe is allowed to hybridize to its complementary DNA in a clone of cells followed by detection using __________.