The statement that is NOT true about induced emf is :

A sinusoidal voltage with peak value 220 V and variable frequency is applied to a series LCR circuit in which \( R = 10 \, \Omega \), \( L = 4 \, \text{mH} \), and \( C = 100 \, \text{mF} \). Consider the following:
(A) Resonant angular frequency \(\left(w_o\right)=50 rad / s\)
(B) Resonant frequency \(\left(v_o\right)=25 / n Hz\)
(C) Resonant frequency \(\left(v_o\right)=50 / n Hz\)
(D) The rms current at resonance is 15.5 A
Choose the correct answer from the options given below:

In Young's double slit experiment, slits are illuminated by light of wavelength 650 nm. The slits are 0.13 cm apart and the screen is placed 1.2 m away. What will be the separation of the adjacent maxima?

Two identical capacitors are connected in parallel combination. Their equivalent capacitance is \( C_1 \). If the plate area is halved and separation between plates is doubled for both the capacitors, their equivalent capacitance now is \( C_2 \). Find the ratio \( C_1/C_2 \).

Under forward-bias of a p-n diode
(A) p-side of the diode is connected to the positive terminal of the battery and n-side to the
negative terminal
(B) p-side of the diode is connected to the negative terminal of the battery and n-side to the
positive terminal
(C) The direction of the applied voltage (V) is opposite to the built-in potential drop
(D) The direction of the applied voltage (V) is the same as the built-in potential drop
(E) The magnitude of the diode forward current is usually in mA
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The energy of a photon of wavelength (\( \lambda \)) is given by the expression: (Symbols have their usual meaning: h = Planck's constant, c = speed of light)

The work function for a metal surface is 8.28 eV . The threshold wavelength for this metal surface is :

Following are the wavelength of some constituents of the electromagnetic spectrum. The wavelength range that are used in Radar system for Aircraft navigation is :
(A) 1 mm to 700 nm
(B) 0.1 m to 1 mm
(C) 400 nm to 1 nm
(D) < \(10^{-3} nm\)
(E) > 1 m
Choose the correct answer from the options given below :

A photosensitive surface is illuminated by a point source of light 1 m away. When the source is shifted to 2 m, then

If \(\vec{a}=2 \hat{i}-3 \hat{j}+\hat{k}\) and \(\vec{b}=2 \hat{i}+\hat{j}-\hat{k}\), then which of the following statements is/are correct?
(A) \(\vec{a}\) and \(\vec{b}\) are collinear
(B) \(\vec{a}\) and \(\vec{b}\) are perpendicular
(C) Angle between \(\vec{a}\) and \(\vec{b}\) is \(\frac{\pi}{4}\)
(D) \(|\vec{a}+\vec{b}|=2 \sqrt{5}\)
Choose the correct answer from the options given below:

Two nuclei have mass numbers in the ratio \(3:5\). The ratio of their nucleus densities would be :

Match List - I with List - II.

LIST I	LIST II
A. Anabaena	I. Preparation of Ethanol
B. Monascus purpureus	II. Statins
C. Saccharomyces cerevisiae	III. Cyanobacteria
D. Trichoderma polysporum	IV. Cyclosporin A

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Read the passage carefully and answer the Questions
Amines are classified as primary \(\left(1^{\circ}\right)\), secondary \(\left(2^{\circ}\right)\) and tertiary \(\left(3^{\circ}\right)\) depending upon the number of hydrogen atoms replaced by alkyl or aryl groups in ammonia molecules. Aliphatic amines are a stronger bases due to \(+I\) effect of an alkyl groups.
Intermolecular hydrogen bonding in primary and secondary amines affects the boiling points of amines. The intermolecular association is more in primary amines than in secondary amines as there are more number of hydrogen atoms available for hydrogen bond formation. Nitro compounds are reduced to amines by passing hydrogen gas in the presence of finely divided nickel, palladium or platinum and also by reduction with metals in an acidic medium. Gabriel synthesis is used for the preparation of primary amines. Primary amines react with nitrous acid to give unstable diazonium-salts which can be used to synthesize a variety of compounds.
The compound having the highest boiling point is