The moment of inertia of a thin uniform rod of mass M and length L about an axis
passing through its midpoint and perpendicular to its length is l0. Its moment of inertia
about an axis passing through one of its ends and perpendicular to its length is
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A boy standing at the top of a tower of 20 m height drops a stone. Assuming g = 10
ms2, the velocity with Which it hits the ground is
A person of mass 60 kg is inside a lift of mass 940 kg and presses the button one
control panel. The lift starts moving upwards with an acceleration 1.0ms-2. If g = 10
ms^(-2), the tension in the supporting cable is :
A body projected vertically from the earth reaches a height equal to earth's radius
before returning to the earth. The power exerted by the gravitational force is greatest
The instantaneous angular position of a point on a rotating wheel is given by the
equation θ (t) = 2t3 - 6t2 The torque on the wheel becomes zero at
A particle moves in a circle of radius 5 cm with constant speed and time period 0.2
π s. The acceleration of the particle is
A body of mass M hits normally a rigid wall with velocity V and bounces back with
the same velocity. The Impulse experienced by the body is
A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If v1 and v2 are the linear velocities at these points respectively. Then the ratio v1/ v2
A radioactive nucleus of mass M emits a photon of frequency n and the nucleus
recoils. The recoil energy will be
The potential energy of a system increases if work is done
A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity
becomes 40 m/s towards north. The average acceleration of the body is
A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10
m/s2 , the range of the missile is
Force F on a particle moving in a straight line varies with distance d as shown in
the figure. The work done on the particle during its displacement of 12 m is
A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is
doubled, then the outward electric flux will
Four electric charges +q, +q, –q and –qare placed at the corners of a square of side
2L(see figure). The electric potential at point A, midway between the two charges +q and
+q, is:
A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A(m)2 the energy (joules) stored in the condenser is
If power dissipated in the 9 W resistor in the circuit shown is 36 Watt, the
potential difference across the 2 resistor is
A current of 2 A flows through a 2 resistor when connected across a battery.
The same battery supplies a current of 0.5 A when connected across a 9 resistor. The
internal resistance of the battery is
The rate of increase of thermo e.m.f. with temperature at the neutral temperature
of a thermocouple
A current carrying closed loop in the form of a right angle isosceles triangle ABC
is placed in a uniform magnetic field acting along AB. If the magnetic force on the arm
BC is ,the force on the arm AC is
The power obtained in a reactor using U235 disintegration is 1000 kW. The mass
decay of U235 per hour is
There are four light-weight-rod samples, A, B, C, D separately suspended by
threads. A bar magnet is slowly brought near each sample and the following observations
are noted
(i) A is feebly repelled
(ii) B is feebly attracted
(iii) C is strongly attracted
(iv) D remains unaffected
Which one of the following is true?
The electric and the magnetic field, associated with an e.m. wave, propagating
along the +z-axis, can be represented by
A uniform electric field and a uniform magnetic field are acting along the same
direction in certain region. If an electron is projected in the region such that its velocity is
pointed along direction of fields, then the electron
The current i in a coil varies with time as shown in the figure. The variation of
induced emf with time would be
In an ac circuit an alternating voltage e = 200 √2 sin100t volts is connected to capacitor of capacity 1 μF.The r.m.s. value of the current in the circuit is
An ac voltage is applied to a resistance R and inductor L in series. If R and the inductive reactance are both equal to 3 , the phase difference between the applied voltage and the current in the circuit is
When 1 kg of ice at 0°C melts to water at 0° C, the resulting change in its entropy,
taking latent heat of ice to be 80 cal/°C is
During an isothermal expansion, a confined ideal gas does –150 J of work against
its surrounding. This implies that