The graph which shows the variation of the de Broglie wavelength $(\lambda)$ of a particle and its associated momentum $(p)$ is?

When light propagates through a material medium of relative permittivity $\varepsilon_r$ and relative permeability $\mu_r,$ the velocity of light, $v$ is given by (where $c$ is the velocity of light in vacuum):

A long solenoid of radius $1$ mm has $100$ turns per mm. If $1$ A current flows in the solenoid, the magnetic field strength at the center of the solenoid is:

The peak voltage of the AC source is equal to:

An electric lift with a maximum load of $2000$ kg (lift + passengers) is moving up with a constant speed of $1.5$ m/s. The frictional force opposing the motion is $3000$ N. The minimum power delivered by the motor to the lift in watts is: ($g = 10$ m/s$^2$)

The product formed from the following reaction sequence is:

Gadolinium has a low value of third ionisation enthalpy because of

Which one is not a correct mathematical equation for Dalton's Law of partial pressure? Here $p$ is the total pressure of a gaseous mixture

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).$\newline$Assertion (A): In a particular point defect, an ionic solid is electrically neutral, even if a few of its cations are missing from its unit cells.$\\$Reason (R): In an ionic solid, Frenkel defect arises due to the dislocation of cation from its lattice site to an interstitial site, maintaining overall electrical neutrality.

The pH of the solution containing $50$ mL each of $0.10 M$ sodium acetate and $0.01 M$ acetic acid is$\\$(Given $pK_a$ of $CH_3COOH = 4.57)$

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). $\newline$ Assertion (A) : $\newline$ Polymerase chain reaction is used in DNA amplification. $\newline$ Reason (R) : $\newline$ The ampicillin resistant gene is used as a selectable marker to check transformation. $\newline$ In the light of the above statements, choose the correct answer from the options given below: