Three blocks of masses m1, m2 and m3 are connected by a massless strings, as shown, on a frictionless table. They are pulled with a force T3 = 40 N. If m1 = 10 kg, m2 = 6 kg and m3 = 4kg, the tension T2 will be
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If two vectors 2i + 3j + k and - 4i - 6j - λk are parallel to each other, then value of λ is
A pipe closed at one end produces a fundamental note of 412 Hz. It is cut in to two pieces of equal length. The fundamental frequencies produced by the two pieces are
Two wheels having radii in the ratio 1:3 are connected by a common belt. If the smaller wheel is accelerated from rest at a rate 1.5 rad s-2 for 10 s. The velocity of bigger wheel is
In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be (g = 10 ms-2 and radius of earth is 6400km)
A mass m moves with a velocity v and collides inelastically with another identical mass. After collision the first mass moves with velocity in a direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision.
A coil in the shape of an equilateral triangle of side l is suspended between the pole pieces of a permanent magnet such that is in plane of the coil. If due to a current i in the triangle a torque τ acts on it, the side l of the triangle is
When the disc rotates with uniform angular velocity which of the following is not true?
Energy of simple harmonic motion depends upon [Here, a = amplitude, ω = angular velocity]
For a satellite escape velocity is 11 Kms-1. If the satellite is launched at an angle of 60° with the vertical, then escape velocity will be
A lead shot of 1 mm diameter falls through a long column of glycerine. The variation of its velocity v with distance covered(s) is represented by
Two water pipes of diameters 2cm and 4cm are connected with the main supply line. The velocity of flow water in the pipe of 2cm diameter is
In Young’s expt., the distance between two slits is d/3 and the distance between the screen and the slit is 3 D. The number of fringes in 1/3 m on the screen, formed by monochromatic light of wavelength 3λ, will be
An inductor of reactance 1Ω and a resistor of 2Ω are connected in series to the terminals of a 6 V (rms) AC source. The power dissipated in the circuit is
When the amount of work done is 300 J and change in internal energy is 100 J, then the heat supplied is
One end of a conducting rod is maintained at temperature 50°C and at the other end ice is melting at 0°C. The rate of melting of ice is doubled, if
A bar magnet of length 6 cm has a magnetic moment of 4 J T-1. Find the strength of magnetic field at a distance of 200 cm from the centre of the magnet along its equatorial line.
If two waves of amplitude a produce a resultant wave of amplitude a, then the phase difference between them will be
The minimum energy required to eject an electron, from the metal surface is called
Two infinitely long parallel conducting plates having surface charge densities + σ and -σ respectively, are separated by a small distance. The medium between the plates is vaccum. If ε0 is the dielectric permittivity of vaccum, then the electric field in the region between the plates is
If microwaves, X rays, infrared, gamma rays, ultraviolet, radio waves and visible parts of the electromagnetic spectrum are denoted by M, X, I, G, U, R and V then which of the following is the arrangement in ascending order of wavelength ?
Figure below shows six equal capacitors each of capacitance C connected to each other.
What will be the value of equivalent capacitance between A and B ?
A letter 'A' is constructed of a uniform wire with resistance 1.0 Ω per cm, The sides of the letter are 20 cm and the cross piece in the middle is 10 cm long. The apex angle is 60. The resistance between the ends of the legs is close to:
The current in a coil changes from +10A to -2A in 3ms. What is the induced emf in the coil? The self-inductance of the coil is 2 mH.
A steel rod of radius R = 10 mm and length L = 100 cm is stretched along its length by a force F = 6.28 x 104N. If the Young’s modulus of steel is Y = 2 x 1011 N/m2, the percentage elongation in the length of the rod is
An electric charge oscillating with a frequency of 1 kilo cycle/s can radiate electromagnetic wave of wavelength
Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr’s atomic model?
In the given figure, C is middle point of line S1S2. A monochromatic light of wavelength λ is incident on slits. The ratio of intensity of S3 and S4 is
A projectile is fired from the surface of the earth with a velocity of 5 ms-1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 ms-1 at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ms-2) given g = 9.8 m/s2