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A stone falls from rest. The total distance covered by it in the last second of its motion is equal to the distance covered by it in the first three seconds of its motion. How long does the stone remain in air?

A bright fringe is formed in front of one of the double slits. What will be the fringe width of the interference pattern?

Estimate the number of mean lives clasped , when the number of atoms in a radioactive sample decrease to 5% of the original value.

The vibration in the air column of tanpura,violin,etc.are

A proton and a deuteron with the same initial kinetic energy enter a magnetic field in a direction perpendicular to the direction of the field.The ratio of the radii of the circular trajectories described by them is

Unplarised light of intensity I is incident on a polarizer and the emerging light strikes a second polarizing filter with its axis at 45^(0)to that the first . Determine (a)the intensity of the emerging beam and(b) its state of polarization

Resistance of 100 cm long potentiometer wire is 10Omega. It is connected with external resistanceR and a cell with emf2V and negligible internal resistance. While balancing 10 mV emf in the secondary circuit , null point is obtained at 40 cm . Findthis external resistance.

For sodium light, the two yellow lines occur at lambda_(1) and lambda_(2) wavelengths. If the mean of these two is 6000Å and |lambda_(2)-lambda_(1)|=6Å, then the approximate energy difference between the two levels corresponding to lambda_(1) and lambda_(2) is

Ina uniform electric field

A sonometer wire is in unison with a tuning fork keeping the tension unchanged, the length of the wire between the bridges is doubled . Then the tuning fork will be still inresonance with the wire provided the wire vibrates in

The air column in a pipe which is closed at one end will be in resonance with a vibrating tuning fork at a frequency 250 Hz. If the length of the air column is :

There is an infintely long straight wire carrying a charge of liner density lamda=40muC//m Calculate the potential diffence between point 1 and 2 if point 2 is n=2 times fayher from the wire then point 1.

A projectile of mass m is fired with velocity v from a point P at theta = 45°. Neglecting air friction, the magnitude of change of momentum between the leaving pt. P and arriving pt. Q is :

If the charge on an object is doubled then electric field becomes

The horizontal and vertical componentsof the earth's magnetic fieldat a placeare 30 and 40 SI units . The total intensity in SI Units is

Two blocks of masses m_(1) and m_(2) are connected to each other with the help of a spring. If pushing force F is given to the mass m_(1) providing accelerationa to it, then acceleration of m_(2) is

In the given circuit diagram when the current reaches steady state in the circuit,the charge on the capacitor of capacitance C will be

The ratio between the first three orbits of hydrogen atom is

A conducting slab of thickness 't' is introduced without touching between the plates of a parallel plate capacitor , separated by a distance 'd' ( t lt d). Derive an expression for the capacitance of the capacitor .

It is necessary to use satellites for ling distance TV transmission. Why ?

V_(A) and V_(B) denot potentils of A and B then the equivalent resistance of A and B, then the equivalent resistance between A and B in the adjoining circuit is (ideal diode)

Calculate the charge on each capacitors shown in figure below.

A Cassegrain telescope uses two mirrors as shown in Fig. 9.30. Such a telescope is built with the mirrors 20mm apart. If the radius of curvature of the large mirror is 220mm and the small mirror is 140mm, where will the final image of an object at infinity be?

Applying Bohr's theory, find the orbital velocity of the electron on an arbitrary energy level. Compare the orbital velocity on the lowest energy level with that of light.

A proton, a neutron, an electron and an alpha particle have some energy. Then their de-Broglie wavelengths compare as

When monochromatic light travels from one medium to another its wavelength changes but frequency remains the same. Explain.

A body weighs 90 kg on the surface of earth. How much will it weigh on the surface of Mars, whose mass is (1)/(9)th and radius (1)/(2) that of earth ?

A stone is dropped freely while another thrown vertically downward with an initial velocity of 4 m/s from the same point simultaneously. The distance of separation between them will become 30 m after a time of

If the kinetic energy of a free particle is much less than its rest energy then its kinetic energy is proprotional to

Arrange the folloowing in decreasing order effective capacitor between P and Q

A heavy nucleus at rest breaks into two fragments which fly off with velocities in the ratio 27:1. The ratio of the radii of the fragments (assumed spherical) is

What is the meaning of hostility?

Under what condition does the formation of rainbow occur ?

The pressure of a gas is changed at constant volume from 200 Nm^(-2) to 3000 Nm^(-2). If the initial temperature of the gas is 77^(@)C, what will be its final temperature?

The instrument among the following which measures emf of a cell most accurately is:

sqrtv versus z graph for characteristic X-rays is as shown in the figure. Match the following

If an athermous body absorbs 20% of the incident radiant energy then reflection coefficient of the body is

Solar energy is mainly due to

A monochromatic bean of light has wavelength of 5400 AU in water R.l. (4/3). What will be its wavelength when it is refracted in glass of R.l. (3/2) ?

For a transistor connected in common emitter mode , the voltage drop across the collector is 2 V and beta is 50 . Find base current if R_(C) is 2K .