A coil of inductive reactance 31 Ω has a resistance of 8 Ω. It is placed in series with a condenser of capacitive reactance 25 Ω. The combination is connected to an ac source of 110 V. The power factor of the circuit is

Questions from NTA Abhyas 2022

1. A thin semicircular conducting ring of the radius is falling with its plane vertical in a horizontal magnetic induction . At the position MNQ, the speed of the ring is and the potential difference developed across the ring is

2. An ideal gas at is compressed adiabatically to of its original volume. If , then the rise in temperature is

3. Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first?

4. Two perfectly elastic objects and of identical mass are moving with velocities and respectively, collide along the direction of line joining them. Their velocities after the collision are respectively

5. The force of repulsion between two point charges is , when these are at distance apart. Now the point charges are replaced by non conducting spheres of radii each having the same charge as that of the respective point charges. The distance between their centres is again kept Then the force of repulsion will

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1. If and respectively denote energy and gravitational constant, then has the dimensions of:

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2. The de Broglie wavelength of an electron moving with kinetic energy of is nearly

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3. A car starts from rest and accelerates at At , a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at ? (Take

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4. A wheel with metallic spokes each long is rotated with a speed of in a plane perpendicular to a magnetic field of . The induced emf between the axle and rim of the wheel will be,

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5. A barometer is constructed using a liquid (density What would be the height of the liquid column, when a mercury barometer reads ?
(density of mercury

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