Power dissipated in an LCR series circuit connected to an a.c source of emf ε is:
Hydrogen atom emits blue light when it changes from n = 4 energy level to the n = 2 level. Which colour of light would the atom emit when it changes from the n = 5 level to the n = 2 level.
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The angular velocity of the second needle in watch (in rad/s) is
An ammeter with internal resistance 90Ω reads 1.85 A when connected in a circuit containing a battery and two resistors 700Ω and 410Ω in series. Actual current will be
The length of iron wire is L and area of cross-section is A. The increase in length is l on applying the force F on its two ends. Which of the statement is correct
Figure shows a solid hemisphere with a charge of 5nC distributed uniformly through its volume. The hemisphere lies on a plane and point P is located on the plane, along a radial line from the centre of curvature at distance 15cm. The electric potential at point P due to the hemisphere is:
If the radius of earth's orbit is made 1/4, the duration of an year will become
For the moon, the wavelength corresponding to maximum emissive power is 14 μm. The surface temperature of the moon is (Wien's displacement constant = 2.8x10⁻3m−K)
A block of mass 10 kg is placed on a rough horizontal surface having coefficient of friction μ = 0.5. If a horizontal force of 100 N is acting on it, then acceleration of the block will be (Take g = 10 m−s⁻2)
A flask is filled with 13 gm of an ideal gas at 27°C and its temperture is raised to 52°C. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at 52°C and the pressure remaining the same is
A body takes just twice the time as long to slide down a plane inclined at 30° to the horizontal as if the plane were frictionless. The coefficient of friction between the body and the plane is
A copper wire of resistance 10 Ω is in the form of a perfect circle. Two points A and B on it are connected to a battery of emf 5 V and internal resistance 0.5 Ω. The two segments of the circle have lengths in the ratio 2:3. The net magnetic field induction at the centre of the circle is
In a deflection magnetometer experiment the deflections produced separately by two short bar magnets kept at the same distance are 45° and 30° . Then the ratio of the magnetic moments of the two magnets is
A piece of steel floates in mercury. The specific gravities of mercury and steel are 13.6 and 7.8 respectively. For covering the whole piece, some water is poured over the mercury. What part of the steel piece will be inside the mercury?
The motion of a particle is given by (a) = t3 − 3t2 + 5, where a is the acceleration in m−s⁻2 and t is the time in seconds. At t = 1 s, velocity of the particle was 6.25 m−s⁻1. The velocity of the particle after 2 seconds will be
A particle is moving with a velocity of 5 m−s⁻1 towards east. After 10 s, if its velocity changes to 5 m−s⁻1 towards north, then its acceleration is
A body is imparted motion rest to move in a straight line. If it is then obstructed by an opposite force, then
If a simple harmonic motion is represented by d2x/dt2 + αx = 0, its time period is
A bomber plane is moving horizontally with a speed of 500 ms-1 and a bomb released from it, strikes the ground in 10 s. The angle at which it strikes the ground is (g = 10 m/s2)
Two point particles with masses m₁ and m₂ are thrown at angles θ₁ and θ₂ with the horizontal with speeds of v₁ and v₂ respectively. T, H and R represent the total time of flight, the maximum height attained and the horizontal range covered respectively. If v₁ sin θ₁ = v₂ sin θ₂, then for both the particles
A plano convex lens is made refractive index 1.6. The radius of curvature of the curved surface is 60 cm. The focal length of the lens is
In an orbital motion, the angular momentum vector is
A boat is moving with a velocity 3î+4ĵ with respect to the ground. The water in the river is flowing with a velocity -3î-4ĵ with respect to the ground. The velocity of the boat relative to the water is
A liquid wets a solid completely. The meniscus of the liquid in a sufficiently long tube is
An electric bulb marked 40 W and 200 V, is used in a circuit of supply voltage 100 V. Now its power is
A closed hollow insulated cylinder is filled with gas 0°C and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to 100°C . If the piston moves 5 cm, the length of the hollow cylinder is