Electron and Photon have same de Broglie wavelength, which of the following is true for their momentum :

The peak value of the electric field associated with an electromagnetic wave traveling through vacuum is \( 8.1 \, \text{N}\cdot\text{C}^{-1} \). The peak value of the associated magnetic field will be:

Match List I with List II

LIST I	LIST II
A.Resistance	I.Property of the material
B.Super conductor	II.The capacity of supplying current in the circuit
C.Specific resistance	III.The collision of electrons while moving through the conductors.
D.Ampere-hour	IV.Motion of electrons through a conductor without any collision

Choose the correct answer from the options given below:

A flask contains Argon and Chlorine in the ratio of 2:1 by mass. The temperature of the mixture is \( 27^{\circ}\text{C} \). The ratio of root mean square speed of molecules of two gases will be : (atomic mass of Argon = 40 u and molecular mass of Chlorine = 71 u)

In the context of the Photoelectric effect, identify the statements which support quantum nature of light.
(A) The electric charge of photoelectrons is quantized
(B) The maximum kinetic energy of photoelectrons depends on the frequency of the incident light, but is independent of its intensity
(C) The photoelectric emission is an instantaneous process without any apparent time lag, even when the incident radiation is made exceedingly dim
(D) There is a minimum frequency of light below which no photoelectrons are emitted
Choose the correct answer from the options given below:

Two point changes \( - q \) and \( + q \) are located at points \( (0, 0, -a) \) and \( (0, 0, +a) \) respectively. The electric potential of a point \( (0, b, 0) \), where \( b > a \), is :

A moving charge produces :

A short bar magnet placed with its axis at \(30^\circ\) with a uniform external magnetic field of 0.16 T experiences a torque of magnitude 0.48 J. The magnetic moment of the bar magnet will be

Read the following passage carefully and answer the given questions.
Productivity in the Ecosystem
The flow of energy through a terrestrial ecosystem starts with the harnessing of sunlight by autotrophs. The radiant energy is converted by photosynthesis to organic compounds is known as productivity. The productivity is expressed in units of energy per unit of area per unit time. The amount of organic matter present at any given time is biomass. The productivity of any ecosystem is affected by many parameters like weather conditions, nutrient availability etc. The productivity of any ecosystem does vary seasonally and yearly.
The unit for expressing productivity is -

A slit of width 'd' is illuminated by red light of wavelength 650 nm. What should be the value of slit width 'd' so that first minimum fall at an angle of diffraction of \(\frac{\pi}{6}\) ?

Two cells each of emf E and internal resistance r are connected in such a way that their positive terminals are connected to point X and negative terminals are connected to point Y. The potential difference between X and Y is

Entamoeba histolytica is a protozoan parasite found in which part of human body?

Three varieties A, B and C of rice are mixed together in the ratio 1:1:3 respectively. The price of rice A is Rs 127 per kg and that of rice B is Rs 135 per kg. If the price of the mixture is Rs. 152 per kg, then the price per kg of rice of type C is :