A parallel plate capacitor half filled with a dielectric of dielectric constant 4 has a capacitance of 10 \( \mu\text{F} \). The capacitance without the dielectric is :

The nuclear force is:

The de Broglie wavelength of an electron, a proton, and an alpha particle are represented by \(\lambda_e, \lambda_p, \lambda_\alpha\) respectively. If kinetic energy of electron, proton and alpha particle is same, then which of the following is correct.

Which of the following statements are correct ?
A. The saturation current is constant with collector plate potential for different frequencies of incident radiation.
B. The saturation current is different with collector plate potential for different frequencies of incident radiation.
C. The saturation current is different with collector plate potential for different intensity of incident radiation.
D. The saturation current is constant with collector plate potential for different intensity of incident radiation.
E. Below threshold frequency no photo electrons are emitted.
Choose the correct answer from the options given below :

In free space, all components of the complete electromagnetic spectrum have the same

Two long and parallel straight wires, each carrying current \(I\) in the same direction, are separated by a distance of 40 cm. If the force of attraction per metre between them is \(2 \times 10^{-6} \text{ N/m}\), the value of \(I\) will be: (Given: \(\mu_0 = 4\pi \times 10^{-7} \text{ T}⋅­­m⋅­­A^{-1}\))

Two identical capacitors are joined in parallel, charged to a potential V and then separated and connected in series, i.e., negative plate of first is connected to positive plate of second :

Match List-l with List-ll

List-l (Genetic disorder)	List-II (Cause)
(A) Thalassemia	(I) 45+XΟ
(B) Sickle-cell anemia	(II) Formation of abnormal hemoglobin
(C) Klinefelter's syndrome	(III) Substitution of glutamic acid by valine
(D) Turner's syndrome	(IV) 47, XXY

Choose the correct answer from the options given below:

A uniformly charged infinite plane sheet of charge density \( 2 \times 10^{-8} \text{ C m}^{-2} \) is held in air.
What will be the separation between two equipotential surfaces in the region of electric field produced by the sheet, if the potential difference between them is 10 V? (\( \varepsilon_0 = 8.85 \times 10^{-12} \text{ C}^2\text{N}^{-1}\text{m}^{-2} \))

Read the passage carefully and answer the Questions
The decomposition of \(N_2O_5\ (g)\) is given as
\(N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)\)
The above reaction is found to be of first order.
Predict the intercept for the plot of \(log \frac{[N_2O_5]_0}{[N_2O_5]}\) versus time

Match List-I with List-II

List-I (Types of evolution)	List-II (Examples)
(A) Divergent evolution	(I) Moths
(B) Adaptive radiation	(II) Eyes of octopus and mammals
(C) Convergent evolution	(III) Darwin's finches
(D) Industrial melanism	(IV) Thorn of Bougainvillea and tendrils of Cucurbita

Choose the correct answer from the options given below:

The statement "the limiting molar conductivity of an electrolyte can be represented as the sum of the individual contributions of the anion and cation of the electrolyte" corresponds to the law

A surface with area \( \vec{S} = 20 \hat{k} \) is held in an electric field \( \vec{E} = \hat{i} + 2\hat{j} + 5\hat{k} \). The electric flux linked with the surface is