The velocity 'v' of a particle at time 't' is given by 'v' = where 'a', 'b' and 'c' are constants. The dimensions of 'a', 'b' and 'c' are
A particle moves for 20 seconds with velocity 3 m/s, then moves with velocity 4 m/s for another 20 seconds, and finally moves with velocity 5 m/s for the next 20 seconds. What is the average velocity of the particle?
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A block of ice of mass 10 kg slides down an inclined 5 m long and 3 m high. A man pushes up on the ice block parallel to the incline so that it slides down at a constant speed. The coefficient of friction between the ice and the incline is 0.1. Find the work done by the man on the block. (g = 10 m/s2)
Two blocks of masses 1 kg and 2 kg are connected by a metal wire going over a smooth pulley as shown. The breaking stress of the metal is If g = 10 ms-2, what should be the minimum radius of the wire used if it is not to break?
A drum of radius R full of liquid of density d is rotated at ω rad/s. The increase in pressure at the centre of the drum will be:
What is the self-inductance of an air-core solenoid of length 3.14 m and cross-sectional area 10–3 m2 with 500 turns?
If a current of 2 A flows through a coil, then the flux linked with the coil is 2 Weber. If the current through the coil changes at the rate of 1 A/s, then the EMF induced in the coil is
Which of the following figures represents the variation of particle momentum and associated de Broglie wavelength?
A car moving with a speed of 50 km/h can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is
When three identical bulbs of 60 W, 200 V rating are connected in series to a 200 V supply, the power drawn by them will be
A string of length 'L' is fixed at one end and carries a mass 'M' at the other end. The string makes 2/π revolutions per second around the vertical axis through the fixed end as shown in the figure. The tension in the string is
A spring of force constant k is cut into two pieces such that one piece is double the length of the other. The force constant of the longer piece will be
The ratio of the velocity of sound in hydrogen (γ = 7/5) to that in helium (γ = 5/3) at the same temperature is
A particle of mass m carrying charge q is kept at rest in a uniform electric field E and then released. The kinetic energy gained by the particle, when it moves through a distance y, is
The magnetic field at a distance r from a long wire carrying current i is 0.4 T. The magnetic field at a distance 2r is
Charge through a cross-section of a conductor is given by Q = (3t2 + 2) C (where t is time in second). The average current through the conductor in the interval t = 1 s to t = 3 s will be
Mobility of free electron in a current carrying conductor is proportional to
Figure shows graph between / and V for two conductors A and B. Their respective resistances are in the ratio
The current through the 5 Ω resistance connected across AB as shown in the given circuit is
The equivalent resistance between A and B as shown in the given circuit is
A potential difference of 10 V is applied across a conductor of length 5 cm. If drift velocity of electron is 2 x 104 m/s, then electron mobility in (m2V-1s-1) will be
A galvanometer of resistance 50 Ω gives full scale deflection at 3 mA current. What should be value of shunt so that it can measure a current of 28 mA?
Five hundred cells of same emf E and same internal resistance r are connected in series to form a loop in same order (without external resistance). The potential drop across 199 cells is found to be
The power dissipated in 3 Ω resistance as shown in the circuit is
The resultant resistance value of three resistors each of r Ω are connected in series is x. When given three resistances are connected in parallel, the resultant value is
In a potentiometer experiment the balancing length of the cell was found to be 80 cm. Now, a resistance of 8 Ω is connected across the terminal of this cell the balancing length becomes 60 cm. The internal resistance of this cell is
The potential difference between points A and B as shown in the given circuit will be
A charged particle moves through a magnetic field perpendicular to its direction, then
When a 20 V m-1 electric field is produced inside a conductor and 4 x 104 A m-2 current density is established in it. Resistivity of the conductor is
The drift velocity of the electrons in a current carrying conductor is of the order of: