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Two numbers are in the ratio 3:5. When each of these numbers is increased by 10, their ratio becomes 5:7. Find the greater number.

Two numbers are in the ratio 3:5. When each of these numbers is increased by 10, their ratio becomes 5:7. Find the greater number. Given That... View Article

Normals are drawn at point P,Q,R lying on parabola y²=4x which intersect at (3,0) then area of △PQR is

The simplest equation of a parabola is y2 = x when the directrix is parallel to the y-axis. In general, if the directrix is parallel to the... View Article

A metal sphere A of radius ‘a’ is charged to potential V. What will be its potential if it is enclosed by a spherical conducting shell B of radius ‘b” and the two are connected by a wire?

The electric potential at a point in an electric field is defined as the amount of work done in moving a unit positive charge from infinity to... View Article

If the distance between the points (2, –2) and (–1, x) is 5, one of the values of x is

Distance formula: d2 = (x2 – x1)2 + (y2 – y1)2 Distance formula: d2 = (x2 –... View Article

Discuss motion of a car along a banked road with figure and show that [latex]v_{max}=tan^{-1}frac{v^{2}}{rg}[/latex]

Banking of roads is defined as the phenomenon in which the edges are raised for the curved roads above the inner edge to provide the necessary... View Article

In a G.P. of even number of terms, the sum of all terms is 5 times the sum of the odd terms. The common ratio of the G.P. is (A) -4/5 (B) 1/5 (C) 4 (D) none the these

The correct answer is (c) 4 Geometric progression If in a sequence of terms, each succeeding term is generated by multiplying each... View Article

The potential energy function of a particle in the x−y plane is given by U=k(x+y), where k is a constant. The work done by the conservative force in moving a particle from (1,1) to (2,3):

A conservative force is a force done in moving a particle from one point to another, such that the force is independent of the path taken by the... View Article

How much water should be filled in a container 23.5 cm in height, so that it appears half filled when viewed from the top of the container?

Given The total height of the container = 21 cm Find out We have to determine how much water should be filled SolutionLet the depth of the... View Article

Points P,Q,R are in a vertical line such that PQ=QR.A. A ball at P is allowed to fall freely. What is the ratio of the descent through PQ and QR

Let us assume PR = 2xSo, PQ = QR = xThe ball begins with zero velocity. Let us assume it takes time t1 to cover PQ and time t2 to cover... View Article

The position-time graph of a particle of mass 4 kg is shoen below. What is the (a) force on the particle for t < 0, t > 4 s, 0 < t < 4 s? (b) impulse at t = 0 and t = 4 s? (Consider one-dimensional motion).

When t＜0, the distance covered by the particle is zero. Therefore, the force on the particle is zero. When 0＜ t ＜4s, the... View Article

A bullet of mass 100 g is fired from a gun of mass 20 kg with a velocity of 100ms ⁻¹. Calculate the velocity of recoil of the gun:

Given Mass of bullet =m=100g=100 /1000kg=1/10kg Velocity of bullet, v=100ms-1Mass of gun, M=20kg Find out We have to determine... View Article

A body is moving along a rough horizontal surface with an initial velocity of 10ms^-1. If the body comes to rest after travelling a distance of 12m, then the coefficient of sliding friction will be

Sliding friction as the resistance created by any two objects when sliding against each other. This friction is also known as kinetic friction... View Article

A particle is projected making angle 45º with horizontal having kinetic energy K. The kinetic energy at highest point will be

When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration that is directed... View Article

If 1/(b-a) + 1/(b-c) = (1/a) + (1/c), then a,b,c are in (1) AP (2) GP (3) HP (4) none of these

The correct answer is (3) HP A Harmonic Progression (HP) is defined as a sequence of real numbers which is determined by taking the reciprocals... View Article

If the ratio of the concentration of electrons to that of holes in a semiconductor is 7/5 and the ratio of currents is 7/4, then what is the ratio of their drift velocities? (a) 5/8 (b) 4/5 (c) 5/4 (d) 4/7

The drift velocity is defined as an average velocity attained by the charged particles (electrons) in a material due to an electric field.... View Article

Temperatures of two stars are in ratio 3:2. If wavelength of maximum intensity of first body is 4000 Å, what is corresponding wavelength of second body?

Wien’s law or Wien’s displacement law, named after Wilhelm Wien was derived in the year 1893 which states that black body... View Article

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Figure). Show that these altitudes are equal.

Given According to the given data (i) BE and CF are altitudes. (ii) AC = AB To prove: We have tp prove that BE = CF Proof: Triangles... View Article

Point (0, -2) lies on y-axis. Is the given statement true or false?

The given statemnet is true a cartesian plane is a two-dimensional coordinate plane, which is formed by the intersection of two lines... View Article

What should be the minimum coefficient of static friction between the plane and the cylinder for the cylinder, for the cylinder not to slip on an inclined plane

Let us assume The friction force as f The normal force acting on the shell as NFor translation... View Article

A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to:

Initial energy, E1=1/2m(2v)2+12(2m)v2=3mv2Now, by law of cnservation of momentum, 3mV=2√2mv ⇒V=2√2v3Final... View Article

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