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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) $[L^2T^{-2}]$, (ii) $[M^1L^3T^{-2}]$, (iii) $[LT^{-2}]$, (iv) $[ML^2T^{-2}]$. Choose the correct answer from the options given below.
For Young's double slit experiment, two statements are given below: Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant. Statement II : If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases. In the light of the above statements, choose the correct answer from the options given below:
For the following logic circuit, the truth table is
The displacement-time graphs of two moving particles make angles of $30^\circ$ and $45^\circ$ with the x-axis as shown in the figure. The ratio of their respective velocity is
Given below are two statements: Statement I: Electrostatic precipitator is most widely used in thermal power plant. Statement II: Electrostatic precipitator in thermal power plant removes ionising radiations. In the light of the above statements, choose the most appropriate answer from the options given below:
A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad s$^{-1}$. If the vertical component of earth's magnetic field at that place is $2 \times 10^{-5}$ T and electrical resistance of the coil is 12.56 $\Omega$, then the maximum induced current in the coil will be
Two point charges $-q$ and $+q$ are placed at a distance of $2L$, as shown in the figure. The magnitude of electric field intensity at a distance $R (R >> L)$ varies as:
A capacitor of capacitance $C = 900 \text{ pF}$ is charged fully by $100 \text{ V}$ battery $B$ as shown in figure (a). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance $C = 900 \text{ pF}$ as shown in figure (b). The electrostatic energy stored by the system (b) is