A magnet suspended freely at the Equator will set itself _______ to the surface of Earth, while one suspended at pole will stand ________.

Radiation of frequency \(2 v_0\) incident on a metal with threshold frequency \(v_0\) results in maximum kinetic energy of photoelectrons as :

The wavelength will be minimum in the transitions of electrons from:

The work functions of Cesium and Platinum are 1.9 eV and 5.7 eV, respectively. The ratio of their threshold wavelengths, respectively is

The current sensitivity of a galvanometer increases by 10%. If its resistance also increases by 20%, the voltage sensitivity will

A plane electromagnetic wave travels in vacuum along y-direction. At the same instant, the direction of Electric and magnetic fields are:

Which of the following statements are correct:
A. In semiconductor diodes carriers are generated by photo-excitation.
B. When the photo diode is illuminated with light with energy (E) > Energy gap (Eg) of the semiconductor, then electron-holepairs are generated.
C. Photovoltaic devices convert electricity into optical radiation.
D. Photodiode can be used as a photodetector to detect optical signal.
E. Zener diode specification should be taken as per the required output voltage.
Choose the correct answer from the following options given below:

The half-lives of two radioactive specimens are \(T_1=5\) years and \(T_2=7.5\) years.
The ratio of their disintegration constants \(\lambda_1\) and \(\lambda_2\) is:

Answer the question on the basis of passage given below :
Formaldehyde is the first member of the aldehydic series. It is present in green leaves of plants where its presence is supposed to be due to the reaction of \(CO_2\) with water in the presence of sunlight and chlorophyll. Commercially, formaldehyde is obtained by the controlled oxidation of methane in the presence of molybdenum oxide (\(MoO\)) acting as a catalyst. Formaldehyde is a constituent of a number of polymers also called resins. These are non volatile solids or semi solids which are obtained directly from certain plants and can be synthesized in the laboratory.
Question: How is formalin useful?

Match List-I with List-II

List-I	List-II
(A) Maximum value of \(f(x)=\sin ^2 x-\cos ^2 x \forall x \in(\pi, 2 \pi)\)	(I) \(0\)
(B) Minimum value of \(f(x)=\sin x \cdot \cos x\)	(II) 1
(C) Point of Minima of \(f(x)=x^x(x>0)\)	(III) \(-\frac{1}{2}\)
(D) Maximum value of \(f(x)=-x^{2026}\)	(IV) \(\frac{1}{e}\)

Choose the correct answer from the options given below :

The number of letters posted in a certain city on each day for a week is given as follows : 40, 55, 28, 25, 31, 52, 43
Which of the following is NOT an entry in the three-day moving averages?

A 20 watt, 50 V lamp is to be connected to AC mains of 260 V, 50 Hz. Calculate the value of series capacitor to run the lamp.

On the basis of following observations arrange the following compounds in increasing order of mol of AgCl precipitated per mol of the compound with excess of AgNO3

Formula	Secondary valences	Solution conductivity
(A) PdCl2.4NH3	4	1:2 electrolyte
(B) NICI4.2K	4	2:1 electrolyte
(C) CoCl3.4NH3	6	1:1 electrolyte
(D) CrCl3.6H2O	6	1:3 electrolyte

Choose the correct answer from the options given below: