Dimension formula of Planck's constant is
ML2T-2 = hT-1
h = [ML2T-1]
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Dimension formula of Planck's constant is
If the maximum percentage error in the measurement of length of thread of simple pendulum and acceleration due to gravity is 2% and 4% respectively, then maximum percentage error in time period of simple pendulum is
A block of mass m is sliding down on a fixed smooth inclined plane as shown in figure. The acceleration of the block is (Take g = 10 m/s2)
The potential at the junction A will be
In the situation shown in figure, the potential difference between P and Q is
A straight wire of length L carrying current I is turned into a circular loop of radius r. The magnitude of its magnetic moment will be
An electron of charge e moves in a circular orbit of radius r with frequency ν. The magnetic field at the center of orbit is
Two thin convex lens each of focal length 20 cm are placed in contact coaxially. If a point object is placed at a distance of 20 cm from the lens combination, then the image formed from the combination is at a distance of
Two circular coils of one turn have radii in ratio 1 : 2. If the magnetic field at their respective centers are equal then the ratio of the current in the coil is
Three rods of same thermal conductivity are joined like an English alphabet y as shown in figure. The temperature at the junction O is
Electromagnetic waves do not transport
Two periodic coherent waves of intensities I1 and I2 pass through a region at the same time in the same direction. The sum of the minimum and maximum intensities is
In Young's double slit experiment, the distance between two slits is halved and the distance between the screen and slit is made three times. Then width of the fringe becomes
The de Broglie wavelength of an electron in the first Bohr orbit is equal to
The logic symbol shown in figure represents
For the given position time relation t = αx2 + βx, where α and β are constants, the retardation of the particle is [v = instantaneous velocity]
A man can throw a stone up to maximum distance x on ground. The maximum height to which it will rise is
A spring of spring constant 500 N/m is stretched initially by 5 cm from unstretched position. Then work required to stretch it further by another 5 cm is
The bob of a simple pendulum having length 2 m, is displaced from mean position to an angular position θ from vertical. If it is released, then velocity of bob at lowest position will be
The potential energy of a point object of mass 1 kg free to move along the x-axis is given by U(x) = (x4/4 - x2/2) J. The total mechanical energy of the particle is 2 J. Then the maximum speed (in m/s) is
The initial angular acceleration of the rod, when the string A is just cut is
If the radius of earth contracts to half of its present value, then length of the day will be
A uniform rod of length l, hinged at lower end is free to rotate in the vertical plane. If the rod is held vertically in beginning and released, then angular acceleration of the rod at the instant when it makes an angle of 45° with the horizontal for first time is
An object of mass 2 kg is fired vertically upward from the surface of earth and reaches up to height equal to radius of earth. The initial speed of object is (g = 10 m/s2)
For a satellite moving in an orbit around the planet, the ratio of magnitude of potential energy to kinetic energy is
A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will
Two capillary tubes of same length l but radii r1 and r2 are fitted in parallel to the bottom of a vessel. What should be the radius r of the single tube of same length, that can replace the two tubes, so that the rate of flow is same as before.
A wire suspended vertically from one of its end is stretched by attaching a block of mass 200 kg to the lower end. The weight stretches the wire by 1 mm. Then the elastic potential energy stored in the wire is g = 10 m/s2
Equation of SHM is given as x = 3 sin 20πt + 4 cos 20πt, where x is in cm and t in seconds. The amplitude of SHM is
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude A and time period T. The speed of the pendulum at x = A/2 will be
Velocity of sound in a mixture of gases is 320 m/s. Pressure of mixture is now made 27 times keeping the temperature same. Velocity of sound in the given mixture will now be
Angle subtended by the vector 4î + 3ĵ + 12k̂ with y-axis is
A projectile is fired at angle 45° with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is
A Carnot engine operates with source at 127°C and sink at 27°C. If the source supplies 40 kJ of heat energy, then work done by the engine is
Standing waves are produced in a 10 m long stretched string fixed at both the ends. If the string vibrates in 5 segments and wave velocity is 20 m/s, then frequency is
A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which reflects the sound waves. The speed of sound in air is 320 m/s. The frequency of siren observed by the car driver is (Approximately)
n small drops of same size are charged to potential V volt each. If they coalesce to form a single large drop, then its potential will be
In a potentiometer, when the cell of emf E is connected null point is obtained at 1.2 m. When the resistor of resistance 10 Ω is connected across it, the balance point decreases by 40 cm. The internal resistance of cell is
Two cells with same emf E and different internal resistance r1 and r2 are connected in series to an external resistance R. The value of R so that the potential difference across the first cell be zero is
In a given system of masses, the work done by gravity during the fourth second after the system is released from rest, will be (g = 10 m/s2)
A transformer of efficiency 90% draws an input power of 4 kW. An electrical appliance connected across the secondary draws a current of 6 A. The impedance of the appliance is
The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the fringe width from the centre is
The de-Broglie wavelength of electron having energy 10 keV is
An equiconvex lens of refractive index 1.5 has power 4 D in air. Its power in water is (R.I. of water = 4/3)
A: An iron needle placed carefully on the surface of water may float, whereas a solid ball of same material will always sink
R: The buoyancy on an object depends both on the material and shape of object.
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