A particle moves three times as fast as an electron. The ratio of the de Broglie wavelength of the particle to that of the electron is \( 1.813 \times 10^{-4} \). The mass of the particle is :

A heating element is marked 210 V, 630 W. The current drawn by the element and the resistance of the element when connected to 210 V DC mains would respectively be :

Two wires of copper have lengths \( L \) and \( 2L \) and cross sectional area \( 2A \) and \( A \), respectively. The ratio of their specific resistance would be-

Three identical resistors are connected first in series to an electrical voltage V. Let I be the total current flowing in the circuit. These resistors are disconnected and again connected in parallel with the same source. Which of the following statements are true?
(A) The potential difference across each resistor is V/3 in series connection
(B) The potential difference across all three resistors in parallel connection is 3V
(C) The current flowing in each resistor in series connection is the same as I
(D) The current flowing through each resistor in parallel combination is equal to 31
Choose the correct answer from the options given below:

If the protons and electrons are the only basic charges in the universe, all the observable charges have to be integral multiples of e. Thus, if an object contains x electrons and y protons, the net charge on the object will be

The number densities of electrons and holes in pure silicon at 273 K are equal and their values are \( 1.5 \times 10^{16} \text{ m}^{-3} \). On doping, the hole density increases to \( 4.5 \times 10^{27} \text{ m}^{-3} \). The electron density in the doped silicon will be :

Kirchhoff's junction rule and loop rule are based on which of the following conservation laws respectively ?

In the exponential growth model equation dN/dt= rN 'N' stands for:

Arrange the following electrodes in decreasing order of the strength of the respective ions as reducing agent.
(A) \(Cu ^{2+}+2 e^{-} \rightarrow Cu (s) \quad E^{\circ}=0.34 V\)
(B) \(Sn ^{2+}+2 e^{-} \rightarrow \operatorname{Sn}(s) \quad E^{\circ}=-0.14 V\)
(C) \(AgBr ( s )+e^{-} \rightarrow Ag ( s )+ Br ^{-} \quad E^{\circ}=0.10 V\)
(D) \(Pb ^{2+}+2 e^{-} \rightarrow Pb (s) \quad E^{\circ}=-0.13 V\)
Choose the correct answer from the options given below

A parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of dielectric constant 5, the percentage increase in the capacitance will be

Which of the following statements are correct?
(A) If elements of a row (or column) of a determinant are multiplied with cofactors of any other row (or column), then their sum is zero.
(B) The value of determinant is equal to the sum of the product of elements of any row (or column) with their corresponding cofactors.
(C) If any two rows (or columns) of a determinant are interchanged, their sign of determinant does not change.
(D) The value of determinant remains unchanged if its rows and columns are interchanged.
(E) A square matrix A has inverse if and only if A is singular.
Choose the correct answer from the options given below:

In which case there is a change in oxidation number?

Read the passage carefully and answer the questions. Electrochemistry is the study involving two types of processes. One type involves the production of electricity from the energy released during a spontaneous chemical reaction. Galvanic cells like Daniel cells are used to produce electricity from the redox reaction. Nernst equation of a galvanic cell gives the relation between the standard cell potential and the concentration of the species involved in the redox reaction. The second type of study involves the cells in which electrical energy is used to bring about the chemical reactions in a non-spontaneous process. The conductance of electrolytic solution depends on many factors including the nature of the electrolyte and the dimensions of the electrolytic cell.
The conductivity of ionic electrolytic solutions does not depend on: