Choose the correct statement(s)
A. In photo electric effect, the minimum negative potential to the plate A for which photocurrent is zero is called saturation potential.
B. Maximum kinetic energy of photoelectrons is directly proportional to intensity of incident radiation.
C. \(K_{\text {max }}=e V_o\)
D. Photocurrent becomes zero at stopping potential.
E. For different intensities of light, stopping potential is different.
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A transformer with turns ratio \( \frac{N_1}{N_2} = \frac{100}{1} \) is connected to a 240 V ac supply. If the primary and secondary resistance are \( 1.0 \text{ k}\Omega \) and \( 1 \ \Omega \) respectively, then find the output power ?

Time period of oscillation of a bar magnet in a uniform magnetic field is \( T_o \). The magnet is cut into 3 equal parts transverse to its length. The new time period of oscillation of one part will be :

A proton and an alpha particle have the same de-Broglie's wavelength. What is same for both of them?

In a diffraction pattern due to a narrow slit of width a, alternate dark and bright fringe pattern is obtained on a screen kept at distance D from the slit. Choose the correct option.
(A) The angular width of central maximum is given by 2D/a, linear width is given by 2D\lambda/a
(B) When the size of aperture, a is quite large, the diffraction effect is negligible,
(C) For light of smaller wavelength, angular width of central maximum increases, while linear width decreases,
(D) Angular width of central maximum does not decrease while linear width decreases on decreasing distance of screen from slit.
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An electron in the ground state goes to the first excited state in the hydrogen atom. Arrange the following energies in decreasing order:
(A) Total energy in ground state
(B) Kinetic energy in ground state
(C) Potential energy in ground state
(D) Total energy in first excited state
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What would be the effective mass of a photon, if the frequencies of radiation is \(6 \times 10^{14} Hz\) ?

The value of \(\int_{\frac{-\pi}{2}}^{\pi / 2}\left(x^5+x^3 \cos x\right) d x\) is :

Out of the given statement, choose the correct statement.
(A) The direction ratios of the vector \(\vec{a}=3 \hat{i}-\hat{j}+4 \hat{k}\) is \(3,-1,4\).
(B) If \(\theta\) is the angle between two vectors \(\vec{a}\) and \(\vec{b}\), then their cross product is given as \(\vec{a} \times \vec{b}=|\vec{a}||\vec{b}| \cos \theta\).
(C) The unit vector in the direction of vector \(\vec{a}=\hat{i}+2 \hat{j}-2 \hat{k}\) is \(\hat{a}=\frac{1}{3}(\hat{i}+2 \hat{j}-2 \hat{k})\).
(D) If \(\vec{a}=3 \hat{i}\) and \(\vec{b}=4 \hat{j}\) then \(\vec{a} \cdot \vec{b}=12\).
(E) If \(\vec{a}\) and \(\vec{b}\) represent the adjacent sides of a triangle then its area is given of \(\frac{1}{2}|\vec{a} \times \vec{b}|\).
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Electric field at a point due to a uniformly charged infinite plane sheet is

The magnetic flux through a coil perpendicular to the plane is varying according to the relation \( \phi = (7t^3 + 3t^2 - 2t - 2) \, \text{Wb} \). If the resistance of the coil is \( 10\Omega \), the induced current through the coil at t = 2 s, will be

The process of breeding crops for higher level of proteins, vitamins and/or oil content is called

Match List-I with List-II

List-I Maxwell's Equations in Vacuum (Left Part)	List-II Maxwell's Equations in Vacuum (Right Part)
(A) \(\oint \vec{B} ⋅­­ d\vec{l}\)	(I) \(- \left(\frac{dΦ_B}{dt}\right)\)
(B) \(\oint \vec{E} ⋅­­ d\vec{A}\)	(II) 0
(C) \(\oint \vec{E} ⋅­­ d\vec{l}\)	(III) \(\frac{Q}{ε_0}\)
(D) \(\oint \vec{B} ⋅­­ d\vec{A}\)	(IV) \(μ_0 i_c + μ_0 ε_0 \left(\frac{dΦ_E}{dt}\right)\)

Choose the correct answer from the options given below: