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A capacitor of 2 μF is charged as shown in the figure. When the switch S is turned to position 2, the percentage of its stored energy dissipated is:
If $R$ is the radius of the earth and $g$ is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be:
The electric field part of an electromagnetic wave in a medium is represented by E_x = 0; E_y = 2.5 \text{ N/C} \cos[(2\pi \times 10^6)t - (\pi \times 10^{-2})x]; E_z = 0. The wave is:
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)
The oxygenation activity of RuBisCo enzyme in photorespiration leads to the formation of
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:
The reaction of concentrated sulphuric acid with carbohydrates ($\text{C}_{12}\text{H}_{22}\text{O}_{11}$) is an example of: