If the angular speed of rotation of an armature of alternating current generator is doubled, the induced e.m.f. will be
If 20 gm of a radioactive substance due to radioactive decay reduces to 10 gm in 4 minutes, then in what time 80 gm of the same substance will reduce to 10 gm
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A radioactive nucleus undergoes α-emission to form a stable element. What will be the recoil velocity of the daughter nucleus if V is the velocity of α-emission and A is the atomic mass of radioactive nucleus
Three copper wires have lengths and cross-sectional areas of (l and A), (2l and A/2) and (l/2 and 2A). Resistance will be minimum in
When a resistance of 2 Ω is connected across the terminals of a cell, the current is 0.5 amperes. When the resistance is increased to 5 ohm, the current is 0.25 amperes. The internal resistance of the cell is
An electron of charge 'E' is liberated from a hot filament and attracted by an anode of potential 'V' volts positive with respect to the filament. The speed of the electron of mass m when it strikes the anode is
The de Broglie wavelength λ associated with an electron having kinetic energy E is given by the expression
In a car spark coil, an e.m.f. of 40000 V is induced in a secondary when the primary current changes from 4 A to zero in 10μs. Find the mutual inductance between the primary and secondary windings of the spark coil
A parallel plate capacitor is first charged and then a dielectric slab is introduced between the plates. The quantity that remains unchanged is
An electric dipole placed in a non-uniform electric field experiences
A 60 kg weight is dragged on a horizontal surface by a rope to 2 metres. If coefficient of friction is μ=0.5, the angle of rope with the surface is 60o and g=9.8 m/sec2, then work done is
If distance between earth and sun become four times, then time period becomes
In which of the following process, convection does not take place primarily?
The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be (where R is the constant)
A potential difference of 2V exists across a potentiometer wire of 2m length. When the potential difference across a 2Ω resistance of a second circuit is measured by this potentiometer wire, it amounts to 5mm balancing length. The current in the second circuit is
The effective length of a magnet is 31.4 cm, and its pole strength is 0.5 A-m. If it is bent in the form of a semicircle,then its new magnetic moment will be
When the free surface area of a liquid is increased, the surface tension of the liquid
If an air-bubble of radius 0.4 mm at a depth h in water having surface tension of 72*10⁻3 N-m⁻1 and density 1000 kg-m⁻3 is in equilibrium then, the value of h is (Take g=10 m-s⁻2)
For a constant hydraulic stress on an object, the fractional change in the object's volume (Δ V/V) and its bulk modulus (K) are related as
A car is driven for 0.8 s. If the car travelling initially with 36 km − h⁻1 is stopped by the driver after observing a signal by deceleration of 5 m − s−2, then total distance travelled by the car before coming to rest, is
A cricketer hits a ball with a velocity 25 m/s at 60o above the horizontal. How far above the ground it passes over a fielder 50 m from the bat (assume the ball is struck very close to the ground)
The maximum speed of a car on a road-turn of radius 30 m, if the coefficient of friction between the tyres and the road is 0.4, will be
A person of 70kg mass is lifted by a helicopter with the help of rope hanging from it. If the helicopter is rising with an acceleration of 4 ms-2, the tension in the rope is (g=10 ms-2)
The ability of eye to focus near as well as distant objects is called
When the potential energy of a particle executing simple harmonic motion is one-fourth of the maximum value during the oscillation, its displacement from the equilibrium position in terms of its amplitude a is
Which of the following function represents a simple harmonic motion?
A ray of light is incident at 60o on a prism of refracting angle 30o . The emergent ray is at an angle 30o with the incident ray. The value of refractive index of the prism is
A person standing on a rotating platform has his hands lowered. He suddenly outstreches his arms. His angular momentum
A wheel is rotating at 900 r.p.m. about its axis When power is cut off it comes to rest in 1 minute The angular retardation in rad/s2 is
Two rings of the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the ring is (mass = and radius = r)