A glass beaker contains water upto a height \( h_1 \) and kerosene oil above water upto height \( h_2 \). If the refractive index of water is \( \mu_w \) and that of oil is \( \mu_k \), then what will be the apparent shift in the position of the bottom of the beaker when viewed from above ?

Two solenoids of the same length and the same cross-sectional area have 400 turns and 250 turns, respectively. The ratio of self-inductance of the two solenoids, respectively, is

A parallel plate capacitor having plate area 200 \( cm^2 \) and separation 2.0 mm holds a charge of \( 0.06\mu C \) on applying a potential difference of 60 V. The dielectric constant of the material filled in between the plates is.
Given permittivity of the vaccum \(\epsilon_0=8.85 \times 10^{-12} F / m \))

An LCR series circuit consisting of resistance 45 \( \Omega \), inductive reactance 4 \( \Omega \) and capacitive reactance 4 \( \Omega \) is connected to an alternating source of emf 90 V. The readings of the ammeter connected to the circuit would be

The physical quantity which is reciprocal of resistance is-

An electron is accelerated through a potential difference of 144 V. The de-broglie wavelength associated would be approximately:

Internal resistance of a cell is:
A. decreases with increase in the distance between electrodes.
B. increases with increase in the area of electrodes inside electrolyte.
C. decreases with increase in temperature.
D. doesn't depend on the concentration of the electrolyte.
Choose the correct answer from the options given below:

The resistivity of a conductor in which a current density of \( 3.5 \, \text{A m}^{-2} \) is found to exist on applying an electric field of \( 28 \, \text{V m}^{-1} \) will be:

Acute angle between the lines \(\frac{x}{3}=\frac{y}{4}=\frac{z}{5}\) and \(\frac{x-1}{4}=\frac{y+1}{-3}=\frac{z+10}{5}\) is :

Read the passage carefully and answer the questions
Nearly all the transition elements display typical metallic properties such as high tensile strength, ductility, malleability, high thermal and electrical conductivity and metallic lustre. The transition metals (with the exception of Zn, Cd and Hg) are very hard and have low volatility. Their melting and boiling points are high. They have high enthalpies of atomization. lons of the same charge in a given series show progressive decrease in radius with increasing atomic number. However, the variation within a series is quite small. The filling of 4f before 5d orbital results in a regular decrease in atomic radii called Lanthanoid contraction which essentially compensates for the expected increase in atomic size with increasing atomic number. The net result of the lanthanoid contraction is that the second and the third d series exhibit similar radii (e.g., Zr 160 pm, Hf 159 pm) and have very similar physical and chemical properties. There is an increase in ionisation enthalpy along each series of the transition elements from left to right. The first ionisation enthalpy, in general, increases, but the magnitude of the increase in the second and third ionisation enthalpies for the successive elements, is much higher along a series. One of the notable features of a transition elements is the great variety of oxidation states these may show in their compounds.
Atomic number of \(\mathrm{V}, \mathrm{Mn}, \mathrm{Cu}\) and Zn is \(23,25,29\) and 30 respectively. Which of them shows a positive value for the standard electrode potential \(E^{\circ}\left(M^{2+} / M\right)\) ?

Which of the following is not the property of \( \beta \) ray?

Let us consider interference between two sources of intensities \( I \) and \( 4I \). What will be the intensity at points where the phase difference is \( \pi \) ?

If \(A\) is a \(3 \times 3\) matrix such that \(|\operatorname{adj} A|=9\) and \(\left|k A^{-1}\right|=9\), then the value of \(k\) are :