Given that and A2 + B2 = R2. The angle between is
In the relation :
P is pressure, Z is distance, k is Boltzmann constant and θ is the temperature. The dimensional formula of b will be
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A projectile projected at an angle 30º from the horizontal has a range R. If the angle of projection at the same initial velocity be 60º, then the range will be
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass M/2. If a force 2Mg is applied at one end of the rope, the force which the rope exerts on the block is –
A chain of mass M is placed on a smooth table with 1/n of its length L hanging over the edge.The work done in pulling the hanging portion of the chain back to the surface of the table is
A particle of mass 10 kg moving eastwards with a speed 5 ms–1 collides with another particle of the same mass moving north-wards with the same speed 5 ms–1. The two particles coalesce on collision. The new particle of mass 20 kg will move in the north-east direction with velocity
A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face, at a height 3a/4 above the base. The minimum value of F for which the cube begins to topple an edge is (assume that cube does not slide)
The rotation of the earth having radius R about its axis speeds upto a value such that a man at latitude angle 600 feels weightless. The duration of the day in such case will be :
A metallic rod breaks when strain produced is 0.2%. The Young’s modulus of the material of the rod is 7 × 109 N/m2. What should be its area of cross-section to support a load of 104 N ?
A liquid is flowing through a non-sectional tube with its axis horizontally. If two points X and Y on the axis of tube has a sectional area 2.0 cm2 and 25 mm2 respectively then find the flow velocity at Y when the flow velocity at X is 10m/s.
A body of length 1m having cross-sectional area 0.75m2 has heat flow through it at the rate of 6000 Joule/sec. Then find the temperature difference if K = 200 Jm–1K–1.
Which of the following combinations of properties would be most desirable for a cooking pot?
A particle starts moving rectilinearly at time t = 0 such that its velocity v changes with time t according to the equation v = t2 – t where t is in seconds and v is in m/s. Find the time interval for which the particle retards.
A sample of gas expands from volume V1 to V2.
The amount of work done by the gas is greatest when the expansion is
A cyclic process is shown in the p-T diagram. Which of the curves show the same process on a P-V diagram ?
Which one the following graphs represents the behaviour of an ideal gas
In case of a forced vibration, the resonance wave becomes very sharp when the
A pendulum bob carries a +ve charge +q. A positive charge +q is held at the point of support.
Then the time period of the bob is – [where, L = length of pendulum, geff = effective value of g]
Two tuning forks A and B sounded together give 6 beats per second. With an air resonance tube closed at one end, the two forks give resonance when the two air columns are 24 cm and 25 cm respectively. Calculate the frequencies of forks.
If an electron has an initial velocity in a direction different from that of an electric field, the path of the electron is
If on combining two charged bodies, the current does not flow then
Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuum
The length of a potentiometer wire is ℓ. A cell of emf E is balanced at a length ℓ/3 from the positive end of the wire. If the length of the wire is increased by ℓ/2. At what distance will be the same cell give a balance point.
A conducting circular loop of radius r carries a constant current i. It is placed in a uniform magnetic field such that is perpendicular to the plane of the loop. The magnetic force acting on the loop is
An ammeter reads upto 1 ampere. Its internal resistance is 0.81ohm. To increase the range to 10 A the value of the required shunt is
At the magnetic north pole of the earth, the value of horizontal component of earth’s magnetic field and angle of dip are, respectively
Lenz’s law is a consequence of the law of conservation of
The instantaneous current from an a.c. source is I = 6 sin 314 t. What is the rms value of the current?
A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be