jee-2018 Question Bank - Sarthaks eConnect

A 100 watt light source is emitting radiations of wavelength `5000overset{o}{A}`. The rate of emission of photons is of the order of:

A complex current wave is given by `i=5+5 sin (100 omegat)` A. Its average value over one time period is given as:

Two waves are given by : `y_1= cos (4t-2x)` and `y_2= sin (4t-2x+pi/4)`. The phrase difference between the two waves is:

Five masses each of 2 Kg are placed on a horizontal circular disc, which can be rotated about a vertical axis passing through its centre and all the masses be equidistant from the axis and at a distance of 10 cm from it. The moment of inertia of the whole system (in gm-c`m^2`) is:

(Assume disc is of negligible mass)

A smooth cylinder of mass m and radius R is resting on two corner edges A and B as shown in fig. The relation between normal reaction at the edges A and B is:

What is the refractive index of a material of a plano-convex lens. If the radius of curvature of the convex surface is 10 cm and focal length of the lens is 30 cm?

In the circuit shown in figure, the resistance of voltmeter is 6 k`Omega`. The voltmeter reading will be:

When a body of mass 1.0 Kg is suspended from a certain light spring hanging vertically, its length increase by 5 cm. By suspending 2.0 Kg block to the spring and if the block is pulled through 10 cm and released, the maximum velocity of it (in m/s) is:

A spherical uniform body of radius R, mass M and moment of inertia I rolls down (without slipping) on an inclined plane making an angle `theta` with the horizontal. Then its acceleration is:

A block rests on a horizontal surface and a man pulls it with a 10N force. Rank the situation shown below according to the magnitude of the normal force exerted by the surface on the block, least to greatest.

Two slits separated by a distance of 1 mm, are illuminated with red light of wavelength `6.5xx10^-7` m. The interference fringes are observed on a screen placed 1 m from the slits. Find the distance between the third dark fringe and the fifth bright fringe on the same side of the central maxima.

Circuit diagram of metre bridge is shown in figure. The null point is found at a distance of 40 cm from A. If now a resistance of 12` Omega` is connected in parallel with S, the null point occurs at 64 cm. Determine the value of R and S.

Pressure versus temperature graph of an ideal gas is as shown in figure. Density of the gas at point A is `rho_0`. Density at point B will be:

Two satellites A and B having ratio of masses 3:1 are in circular orbits of radius r and 4r. Calculate the ratio of total mechanical energy of A and B.

The velocity V of a moving particle varies with displacement as `x=sqrt(V+1)`, the acceleration of the particle at x=5 unit will be:

A ray of light is incident on a parallel slab of thickness t and refractive index n. If the angle of incident `theta` is small, then the displacement in the incident and emergent ray will be:

In the figure, the petentiometer wire AB of length L and resistance 9r is joined to the cell D of emf `epsilon` and internal resistance. The cell C’s emf is `epsilon/2` and its internal resistance is 2r. The galvanometer G will show no deflection when the length AJ is:

Three moles of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: `T_1=400` K, `T_2=800` K, `T_3=2400` K and `T_4=1200` k. The work done by the gas during the cycle is:

A projectile is fired at a speed of 100 m/sec at an angle of `37^o` above the horizontal . At the highest point, the projectile breaks into two parts of mass ratio 1:3, the smallest coming to rest. Then the distance of heavier part from the launching point is:

If the units of length, velocity and force are halved, then the unit of power will be:

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