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The velocity of helium nucleus travelling in curved path in a magnetic field is v. The velocity of proton moving in the same curved path, in the same magnetic field is
Two cells A and B are connected in the secondary circuit of a potentiometer one at a time and the balancing length are respectively 400cm and 440cm. The e.m.f of the cell A is 1.08 volt. The e.m.f of the second cell B in volts is
If potential V=100 0.5 Volt and current I = 10 0.2 amp are given to us. Then what will be the value of resistance
A particle of mass 0.3 kg is subjected to a force F = kx with k = 15 Nm^{1}. What will be its initial acceleration, if it is released from a point 20 cm away from the origin?
F = kx =  15 x0.2 = 3 N
Therefore
The number of turns in the primary coil of a transformer is 200 and the number of turns in secondary coil is 10. If 240 V a.c. is applied to the primary, the output from secondary will be
On stretching a wire, the elastic energy stored per unit volume is
Charges are placed at the four corners of a square of side 1m. The potential at the centre of the square is
A parallel plate capacitor of capacity C_{0} is charged to a potential V 0 .
A) The energy stored in the capacitor when the battery is disconnected and the plate separation is doubled is E_{1}.
B) The energy stored in the capacitor when the charging battery is kept connected and the separation between the capacitor plates is doubled is E_{2}. Then value is
The escape velocity of an object from the earth depends upon the mass of the earth (M), its mean density (ρ),its radius (R) and gravitational constant (G). Thus the formula for escape velocity is
The magnetic field near a current carrying conductor is given by
A current carrying straight wire is kept along the axis of a circular loop carrying a current. The straight wire
A magnetic needle suspended by a silk thread is vibrating in the earth's magnetic field. If the temperature of the needle is increased by 700�C, then
If the radius of a soap bubble is four times that of another, then the ratio of their pressures will be
The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms⁻^{1}. If the change in velocity of the body is 0.18 ms⁻^{1} during this time, its uniform acceleration is
A bullet is fired from a canon with velocity 500 m/s. If the angle of projection is 15º and g = 10 m/s^{2}. Then the range is
In a simple harmonic motion displacement is half of its amplitude, what will be the ratio of K.E. and P.E.
Two simple harmonic motions act on a particle. These harmonic motions are x=A cos (ωt+δ);y =A cos (ωt+α) when δ=α+π/2, the resulting motion is
A particle of mass m is rotating in a plane in circular path of radius r. Its angular momentum is L. The centripetal force acting on the particle is
The spectrum obtained from a sodium vapour lamp is an example for
In semiconductor with the increase in temperature its resistance
The angular velocity is independent of the clock size, however for larger clocks the linear velocity of the pointers at the end of the hands will be greater.
The second hand goes through 2π radians in 1 min,
or 2π radian/60 seconds,
So, ω rad.s^{1} = 0.105 rad/s
540 g of ice at 0ºC is mixed with 540 g of water at 80ºC. The final temp. of the mixture in ºC will be
The ratio of the slopes of PV diagrams of adibatic and isothermal processes is
A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller . Given that the escape velocity from the earth is 11 kms⁻^{1}, the escape velocity from the surface of the planet would be
When a source of light is receding away from an observer, then the spectral lines will get displaced towards
A body of mass 2 kg makes an elastic collision with another body at rest and continues to move in the original direction with one fourth of its original speed. The mass of the second body which collides with the first body is
If θ is the angle between vectors a and b and axb=a.b, then θ=
Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60º). In the position of minimum deviation, the angle of refraction will be :
A particle is projected vertically upwards with a speed of 16 m/s. After some time, when it again passes through the point of projection, it speed is found to be 8 m/s. It is known that the work done by air resistance is same during upward and downward motion. Then, the maximum height attained by the particle is (Take g = 10 m/s^{2})
The velocity of a particle is v = v_{0} + gt + ft^{2}. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is
A particle moves in the X–Y plane under the influence of a force such that its linear momentum is where A and k are constants. The angle between the force and the momentum is
A siphon has a uniform circular base of diameter cm with its crest A, 1.8 m above the water level vessel B is of large cross section (g = 10 m/s^{2} and atmospheric pressure P_{0 } = 10^{5} N/m^{2})
A postively charged thin metal ring of radius R is fixed in the xy plane with its centre at the origin O, A negatively charged particle P is released from rest at the point (0, 0, z_{0}) where z_{0} > 0.
Then the motion of P is
A brass ring of density ρr . and mass m_{r} is tied with a piece of cork of mass m_{c} and density ρc . This arrangement floats completely immersed in liquid of density ρ . Then,
A metal rod moves at a constant velocity in a direction perpendicular to its length. A constant, uniform magnetic field exists in space in a direction perpendicular to the rod as well as its velocity. Select the correct statement(s) from the following
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