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The diagrams below show regions of equipotentials. A positive charge is moved from A to B in each diagram. Then:
Match List-I with List-II: **List-I** (a) Gravitational constant (G) (b) Gravitational potential energy (c) Gravitational potential (d) Gravitational intensity **List-II** (i) $[L^2 T^{-2}]$ (ii) $[M^{-1} L^3 T^{-2}]$ (iii) $[LT^{-2}]$ (iv) $[ML^2 T^{-2}]$ Choose the correct answer from the options given below:
A thin spherical shell is charged by some source. The potential difference between the two points C and P (in V) shown in the figure is: (Take 1/4πε₀ = 9 × 10⁹ SI units)
A liquid does not wet the solid surface if the angle of contact is:
The ratio of the magnitude of the magnetic field and electric field intensity of a plane electromagnetic wave in free space of permeability $\mu_0$ and permittivity $\varepsilon_0$ is: (Given that $c=$ velocity of light in free space)
Zener diode works:
The root-mean-square speed of hydrogen molecules at 300 K is 1930 m/s. Then the root mean square speed of oxygen molecules at 900 K will be:
A barometer is constructed using a liquid (density = 760 kg/m³). What would be the height of the liquid column, when a mercury barometer reads 76 cm? (the density of mercury = 13600 kg/m³)
Dependence of intensity of gravitational field ($E$) of the earth with distance ($r$) from the centre of the earth is correctly represented by: (where $R$ is the radius of the earth)
A body weighs $72 \text{ N}$ on the surface of the earth. What is the gravitational force on it at a height equal to half the radius of the earth?
A thin conducting ring of radius R is given a charge +Q. The electric field at the centre O of the ring due to the charge on the part AKB of the ring is E. The electric field at the centre due to the charge on the part ACDB of the ring is:
A planet has a mass equal to $(1/10)^{\text{th}}$ of Earth's mass and a diameter equal to half of Earth's diameter. The acceleration due to gravity on this planet is:
A hollow metal sphere of radius R is given +Q charges to its outer surface. The electric potential at a distance R/3 from the centre of the sphere will be:
The correct statement about the variation of viscosity of fluids with an increase in temperature is:
The electrostatic force between the metal plates of an isolated parallel plate capacitor $C$ having a charge $Q$ and area $A$ is:
Two metallic spheres of radii 1 cm and 3 cm are given charges of -1×10⁻² C and 5×10⁻² C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:
Two copper vessels A and B have the same base area but are of different shapes. A takes twice the volume of water that B requires to fill up to a particular common height. Then the correct statement among the following is:
The ratio of contributions made by the electric field and magnetic field components to the intensity of an electromagnetic wave is: ($c$ = speed of electromagnetic waves)
An electron of mass $m$ and charge $e$ is accelerated from rest through a potential difference $V$ in vacuum. The final speed of the electron will be:
A dielectric slab of dielectric constant 3 having the same area of cross-section as that of a parallel plate capacitor but of thickness 3/4th of the separation of the plates is inserted into the capacitor. The ratio of potential difference across the plates without dielectric to that with dielectric is: