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A dielectric slab of thickness d is inserted in a parallel plate capacitor whose negative plate is at x=0 and positive plate is at x=3d. The slab is equidistant from the plates. The capacitor is given some charge. STA ...

Reasoning Type An ideal black body at room temperature is thrown into a furnace. It is observed that STATEMENT-I: it is the darkest body at all times STATEMENT-II: black body absorbs all heat at highest rate ...

Reasoning Type A cubical block is floating inside a bath. The temperature of system is increased by small temperature ΔT. STATEMENT-I: It was found that the depth of submerged portion of cube does not change. STATEMENT-II: c ...

*Image* A point source S is placed midway between two converging mirrors having equal focal length f as shown in figure. For what d, only one image is formed ...

*Image* A conducting loop is puled with constant velocity towards a region of uniform magnetic field of induction B inward to the plane as shown in the figure. Then the current involved in the loop (d>r) ...

*Image* Two blocks A and B of mass m are connected by a massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown ...

Multiple Correct Answers Follows *Image* A man pushes a solid cylinder of mass m1=20 kg wtih the help of a plank of mass m2=5 kg as shown in figure. There is no slipping at any contact. The horizontal component of the ...

If a star converts all of its Helium into oxygen nucleus, the amount of energy released per nucleus of oxygen is (He=4.0026 amu, O=15.9994 amu) ...

An α particle and a proton are subjected to the same magnetic field B. B is perpendicular to the velocity vectors of the particles. The radii of their paths are equal to each other. The ratio of their de-Broglie wavelength i ...

When a metallic surface is illuminated with monochromatic light of wavelength λ, the stopping potential is V. If light of wavelength 2λ is used, the stopping potential is V/4. The threshold wavelength for the surface is ...

*Image* The reading of vernier caliper is ...

The total energy of the electron in the hydrogen in the ground state is -13.6 eV. Kinetic energy of the electron in hydrogen atom in the first excited state is ...

A concave lens of glass, refractive index 1.5, has both surfaces of same radius of curvature R. On immersion in a medium of refractive index 1.75, it will behave as a ...

An isosceles prism of angle 120° has a refractive index 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerge from the opposite faces *Image* ...

A point object O is placed at a distance of 30 cm from the pole of the convex mirror of focal length 20 cm as shown in the figure. Find the final image distance from the object. *Image* ...

A concave mirror form on a screen, a real image of twice the linear dimension of the object. Object and screen are then moved until the image is three times the size of the object. If the shift of the screen be 25 cm determin ...

Straight Objective Type A wooden plank of length 1m and uniform cross section is hinged at one end to the bottom of a tank as shown in figure. The tank is filled with water up to a height of 0.5 m. Specific gravity of the pla ...

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Match for 28-31 For a triangle ABC with angles A, B and C, such that 6A=3B=2C Match the following 28) tan(B/2)tan(C/2)+tan(C/2)tan(A/2)+tan(A/2)tan(B/2) 29) 4sin(A/2)sin(B/2)sin(C/2) 30) 4cos(A/2)cos(B/2)cos(C/2) 31) ...

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Match the following for 24-27 24) \int_{-\pi }^{\pi }{xsinx}dx 25) \int_{-\pi }^{\pi }{sin^{3}xcosx}dx 26) \int_{-\pi }^{\pi }{} {sinx}dx :where {.} is the fractional part 27) \int_{-1}^{2}{[x]}dx where [.] is the integral pa ...

*Image* In the given circuit, with steady current, the potential drop across the capacitor must be ...

5 gm of water at 30°C and 1 gm of ice at -20°C are mixed together in a calorimeter. Find the final temperature of mixture. Water equivalent of calorimeter is negligible, specific heat of ice=0.5 cal/gm°C and latent hea ...

*Image* An inductor of inductance L=400 mH and resistors of resistances R1=R2=2Ω are connected to a battery of emf 12V as shown in figure. The internal resistance of the battery is negligible. Switch S has been c ...

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*Image* A wide vessel is filled with three immiscible liquids. Their densities and heights are given in the figure. A small hole is produced at a height h/6 from the bottom. The initial speed of the liquid is ...