A radioactive substance is emitting β- particles at a certain rate. When it is heated to a high temperature, the rate of emission

Two charged particles, placed at a distance d apart in vacuum, exert a force F on each other. Now, each of the charges is doubled. To keep the force unchanged, the distance between the charges should be changed to :

A thermal power plant produces electric power of 1000 kW at 10000 V, which is to be transmitted 20 km away from the power plant. The transmission line has resistance of 0.5 ohm per kilometre, the percentage power dissipation during transmission is :

A light of wavelength 500 nm falls on a metal surface, whose work function is 2.14 eV. The kinetic energy of the emitted electrons is

A vertical electric field of magnitude \( 4.9 \times 10^5 \text{ NC}^{-1} \) just prevents a water droplet of mass \( 0.1 \text{ g} \) from falling. What is the charge on the droplet? Take acceleration due to gravity \( 9.8 \text{ ms}^{-2} \).

Which of the following statement is NOT true, when two capacitors charged to different potential are connected in parallel by a conducting wire ?

The angle of dip at equator is

Match List - I with List - II

List - I	List - II
(A) The degree of the differential equation \(\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)=x \sin \left(\frac{d y}{d x}\right)\)	(I) 4
(B) The degree of differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^{1 / 4}+x^{1 / 5}=0\)	(II) 1
(C) The degree of differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^3+6 y^5=0\)	(III) Not defined
(D) The degree of differential equation \(1+\left(\frac{d y}{d x}\right)^4=7\left(\frac{d^2 y}{d x^2}\right)^3\)	(IV) 3

Choose the correct answer from the options given below:

A current change of 6 A in one coil causes the flux in the second coil of 2000 turns to change by \(12 \times 10^{-4} \text{ Wb}\) per turn. The mutual inductance of the pair of coils would be:

The brain size of the Neanderthal man was:

In alcohols, C-O-H bond angle is

There are two thin parallel charged sheets having surface charge density \( \sigma \) placed at a small distance apart. Which of the following statements are correct?
(A) If both the sheets are positively charged, then the electric field between them is \( \sigma/\epsilon_0 \)
(B) If both the sheets are negatively charged, then the electric field between them is \( \sigma/\epsilon_0 \)
(C) If the left sheet is positively charged and the right sheet is negatively charged the field between them is \( \sigma/\epsilon_0 \)
(D) If the right sheet is positively charged and the left sheet is negatively charged then the field between them is \( \sigma/\epsilon_0 \)
Choose the correct answer from the options given below:

The current supplied by the battery in the network shown in the figure below in steady state is :