An object is projected with a velocity of 20 m/s making an angle of 45o with horizontal. The equation for the trajectory is h = Ax - Bx2 where h is height, x is horizontal distance, A and B are constants. The ratio A : B is (g = 10 ms⁻2)
A spherical shell has mass M and radius R. Moment of inertia about its diameter will be
At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant is
In the given circuit, the value of current flowing across the resistances A and B is
If a spring is extended to length l, then according to Hooke's law
A wire of length l is in the form of a circular loop having one turn only. The loop is carrying a current I and induces a magnetic field of strength B1 at the centre of the loop. If the same wire is used to make a coil having two turns, then the strength of the magnetic field at the centre is B2 providing the current flowing the loop is same. The correct option is
If a solid spherical ball is rolling on a horizontal table, the ratio of its rotational kinetic energy to the total energy is
An electron having mass m and kinetic energy E enter in uniform magnetic field B perpendicularly, then its frequency will be
What will be the focal length of the eyepiece and the objective lens of a telescope, if the angular magnification of the telescope is given to be 5 for far object. The final image is formed at infinity and the distance between the eyepiece and the objective lens of the telescope is 54 cm. (Focal length of eyepiece = fE; Focal length of objective = fO)
When a star moves away from earth, the spectrum of the star shifts towards higher wavelength side. This is due to
Two bodies are projected from the same point with equal speeds in such directions that they both strike the same point on a plane whose inclination is β. If α be the angle of projection of the first body with the horizontal the ratio of their times of flight is
A ball whose K.E. is E is projected at an angle of 45o to the horizontal. The kinetic energy of the ball at the highest point of its flight will be
Two particles P and Q are located at distances rP and rQ respectively from the centre of a rotating dise such that
rP > rQ
Two stones are projected with same velocity v at an angle θ¸ and (90° − θ). If H1 and H2 are greatest heights in the two paths, what is the relation between R, H1 and H2?
A circular wire of radius 50 mm with 500 turns is acting as an inductor in a circuit. The approximate value of self-inductance for the wire will be
A stone of mass of 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16 Newton. The maximum velocity of revolution that can be given to the stone without breaking it, will be
If two soap bubbles of different radii are connected by a tube, then
In the graph below, the deviation of a ray of light is plotted against the angle of incident i when it passes through a prism.
The points X and Y in the plot respectively represent
Rocket engines lift a rocket from the earth surface because hot gas with high velocity
A wire of length L and cross-section A is made of material of Young's modulus Y. If it is stretched by an amount x, then work done is
A column of water 60 cm high supports a column of an unknown liquid of density 1500 kg-m⁻3. The height of liquid column is (Density of water = 1000 kg-m⁻3)
For measuring an unknown resistance, a meter bridge with a standard resistance of 90 Ώ is used. The null point indicated by the jockey is 40 cm on the standard resistance. If the scale used to measure the length of the standard resistance is accurate with a deviation of ±1 mm, the value of the unknown resistance and the deviation is
A coil with 400 turns and 0.1 square metre area is placed perpendicularly in a magnetic field of strength 4 × 10-5 Wb/m2. If it rotates through 90 degrees in 0.1 sec, what will be the voltage of average emf that will be induced in the coil?
A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest, assuming that it faces constant resistance to motion?
Which of the following phenomena establish the wave nature of light?
A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of combination is
At a given temperature the ratio of r.m.s. velocities of hydrogen molecule and helium atom will be