In this diagram, three infinite plane sheets of charges are shown with surface charge densities \(+\sigma, +\sigma, -\sigma\). The value of electric field at points A and B are

Match List-I with List-II

List-I (Electronic Device)	List-II (Function)
(A) Stabilizer	(I) Used to convert a.c. voltage into d.c. voltage
(B) Filter	(II) Used either for stepping up or stepping down the a.c. voltage
(C) Rectifier	(III) Used for constant output voltage even when the input voltage or load current changes
(D) Transformer	(IV) Used to remove any ripple in the rectified output voltage

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The relation below correctly represents the frequency of light emitted when an electron in a hydrogen atom jumps from a higher \( (n_i) \) energy level to \( (n_f) \) a lower energy level: \( \nu = Rc \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) \). Predict the values of \( n_i, n_f \), respectively for the Paschen series, which will give the highest wavelength in the series

igure given below shows variation of photocurrent with anode potential for different intensities of incident radiation. Some of the results obtained from the experiments are described below on the basis of the graph. Identify the correct results:

(A) The photoelectric current is higher for higher intensity of the incident radiation.
(B) The negative potential required to decrease the photocurrent at different intensities to zero is different.
(C) If the positive potential of the anode is increased beyond a certain value, the photocurrent does not increase for a given intensity.
(D) If the potential applied at the anode is zero, then the photocurrent is lower than the maximum value of current for the given intensity.
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In Rutherford's scattering experiment, if impact parameter \( b = 0 \), then the value of the scattering angle will be :

Match List-I with List-II

List-I (Quantity)	List-II (Formula)
(A) Einstein's Photoelectric Equation	(I) \( K_{max} / e \)
(B) De-Broglie Wavelength	(II) \( K_{max} = hc/\lambda - \phi \)
(C) Stopping potential	(III) \( hc/\phi \)
(D) Threshold wavelength	(IV) \( h/p \)

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The magnetic flux density at a point on the axis of a long solenoid having 1000 turns \(/ m\) when it is carrying a current of 3.4 A is nearly,

Answer the question on basis of passage given below :
Look at the following chemical reactions and answer the following question :
(A) \(C_7H_8 \xrightarrow{\text{Conc. HNO}_3, 0^\circ C}
(B) \xrightarrow{Sn/HCl}
(C) \xrightarrow{NaNO_2/H_3O^+}
(D) \xrightarrow{H_2O, Heat} (E)\)
(E) \(CH_3I \xrightarrow{KMnO_4/H^+}
(F) \xrightarrow{H_3O^+} (G) \xrightarrow{NaOH} (H)\)
Which of the following compounds will undergo coupling reaction ?

Six identical cells, each of emf 3 V and internal resistance of r, are connected in series to a \( 3 \text{ } \Omega \) resistance. If the net current flowing in the circuit is 2.0 A. The internal resistance of the cell is

The value of a for which \(\int_1^a x^2 d x=\frac{7}{3}\) is:

Choose the correct statements:
A. \(\alpha\)-particle close to the nucleus suffers large scattering.
B. Hydrogen atom consists of a single proton and a single neutron.
C. Chadwick discovered neutron.
D. In \(\gamma\)-decay, photons are emitted.
E. The nucleus force between two nucleons falls rapidly to zero as their distance is less than a few femtometers.
Choose the correct answer from the options given below:

The angle between the vectors \(\hat{i}-2 \hat{j}+\hat{k}\) and \(3 \hat{i}+2 \hat{j}+\hat{k}\) is:

A concave lens and a convex mirror both are dipped in an oil of refractive index 1.2. The focal length of: