Physics Questions

Consider a damped harmonic oscillator whose mass m 0 05 kg k 5 0 N m and damping constant b With initial conditions xo 0 01 m p 0 A 0 1m and vo 0 m s Evaluate each case of damped oscillator and write the corresponding equation of motion of damped harmonic oscillator a Critically damped oscillator with b 1 0 b Underdamped oscillator with b 10 c Overdamped oscillator with b 5 0

7 Explain the linear velocity of a particle perform ing circular motion OR Derive the relation between the linear velocity and the angular velocity of a particle performing 2 marks circular motion

Find the minimized solution for the following using Kmap F 0 1 4 5 9 11 14 15 Answer the following Number of octets and quads and pairs in the following K Map Answer like this octetquadpair 212 if there is 2 octets one quad two pair

An ideal gas goes from state A to state B via three different processes as indic If Q Q Q indicate the heat a absorbed by the gas along the three processes and AU AU AU indicate the change in internal energy along the three processes respectively then AIPMT 2012 1 Q Q Q and AU AU AU 2 Q Q Q and AU AU AU 3 Q Q Q and AU AU AU O and Al ALL AU CAV

Tritium t 2 12 33 y is mostly produced for military purposes If we had stopped producing tritium in 1960 with a 2500 kg stockpile how much would be left in the year 2015 Enter your answer in kg ka

A wire of length is used to form a circular coil Th magnetic field at its centre for a given current in is minimum if the coil has 1 4 turns 2 3 turns 3 2 turns 020

1 2 x 106 N m 2 3 x 10 N m 3 4 x 10 N m 4 5 x 100g ice at 0 C is put in water in bucket at 50 C On complete melting change in entropy will be Assuming no change in temperature of water RPMT 2010 1 4 5 cal K 2 4 5 cal K 3 5 4 cal K 4 5 4 cal K RPMT 2010 ninor of 44 8 litre volume monoatomic gas is filled up Heat required to raise temperature by 10 C will

A 2m string has tension 1N is fixed at both end and its is vibrating is its third harmonic with antin amplitude 3cm and frequency 100Hz then 32 Possible stationary wave equation for the vibration of the string will be assume origin at left of the string and x is measured in meters towards right and t is measured in seconds B 0 03m sin 3 A y 0 06m cos x sin 100nt 2 C y 0 06m sin 3 4 x cos 200nt D 0 03m cos 3 2 x sin 200rt 3 4 x sin 200nt

Calculate the ratio of the velocity of sound in a gas to the rms velocity of its molecules if the molecules are i monatomic and ii diatomic Ans 0 75 0 68

A particle of mass 0 2 kg oscillates according to the law x 0 08 cos 20 t T 4 where x is in metre and t is in second The instantaneous force acting on it is Select one a 315 5 cos 20nt n 4 b 1 26 1 sin40 t c 5 02 sin 20nt 4 d 63 1 cos 20ru TL 4 LEGE b

32 a Consider an arbitrary electrostatic field configuration A small test charge is placed at a null point i e where E 0 of the configuration Show that the equilibrium of the test charge is necessarily unstable b Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart

Q 28 A figure which is of some significance but it does not necessarily denote a certainly is called a significant figure b basic figure c numbering figure d decimal figure Q 29 The mass and volume of a plate are 4 237 kg and 2 51 m 3 respectively Find density of plate in S F a 1 688 kg m3 b 1 69 kg m3c 1 6880 kg m3 d 1 6890 kg m

Q 31 The area and volume of sphere is 4 50 0 10 cm2 and 50 30 0 10 cm3 Calculate total percentage error in the measurement of area and volume of sphere a 2 4 b 2 42 c 2 424 d 2 4245 Q 32 Which one of the following units is a fundamental unit a watt b joule sec c ampere d newton

A simple pendulum is oscillating without damping When the displacement of the bob is less than maximum its acceleration vector a is correctly shown in IIT JEE Scrrening 2002 1 3 a a 2 a

A circular dise of radius R carries surface charge density a r 1 7 where do is a constant and r is the distance from the center of the disc Electric flux through a large spherical surface that encloses the charged disc completely is g Electric flux through another spherical surface of radius and concentric with the disc is Then the ratio is

Find the charge flown through the switch from A to B when it is closed 3 F 5V 6 F 3 F 10V A B 10V 13 F 5V 6 F 6 F

A spherical body P has a positive charge on it attracts an another sphere Q placed near it Th sphere Qis 1 Negatively charged 2 Positively charged 3 Neutral 4 May be negative or neutral

Even Carnot engine cannot give 100 efficiency because we cannot 1 prevent radiation 2find ideal sources eliminate friction 3 reach absolute zero temperature od with 1 mole of a gas with y 5 3 then the 715

the perpend 15 A thread carrying a uniform charge per unit length has the configurations shown in Fig 3 2a and b Assuming a curvature radius R to be considerably less than the length of the thread find the magnitude of the electric field strength at the point O R a Fig 3 2 400 b R q R Fig 3 3

When a stretched string of length L is vibrating in a particular mode the distance between two nodes on the string is I The sound produced in this mode of vibration constitutes the nth overtone of the fundamental frequency of the string Then L n 1 L n 1 L nl L n

1 m Water n 1 33 1 m An observer is looking through a 1 meter thick clear water tank If an object is located at 1 m from the tank on the other side of the observer calculate the virtual location of the object seen by the observer

Two charges q and 4q are kept at a separation d Another charge Q is placed on the line joining the two charges such that all the three charges are in equilibrium Find the value of charge Q and its location ion Fig 1 13 shows two charges q and 4q respectively at A F Q F q 4q

Two identical glass g 3 2 equiconvex lenses of focal length f are kept in contact The space between the two lenses is filled with water w 4 3 The focal length of the combination is Question Type Single Correct Type 1 f 2 f 2 3 4f 3

3 If z and errors in determination of A and B are respectively AA and AB then the fractional error in calculation of z is 2 AxB A B 3 AA AB AA AB A B A B AA AB A B AA A AB B AA AB A B

A 100 2 resistance and a capacitor of 100 92 reactance are connected in series across a 220 V source When the capacitor is 50 charged the peak value of the displacement current is a 2 2 A c 4 4 A b 11 A d 11 2 A NEET II 301

1 Carbohydrates are digested into 2 Cellulose is not 3 Digestion of fat produces 5 4 Liver secretes in nature in man acids and juice which is 5 Grass eating animals like cows and buffaloes are called is the largest gland in human body

e Draw appropriate electric field lines on the figure below for the three cases shown These should represent the electric field due to 1 a single positive point charge 2 two very long oppositely charged parallel conducting sheets and 3 an electric dipole Be sure to label the direction of the field

ng questions 1 What is a book with a soft paper cover called Paper book 2 Who Who invented the mechanized printing press Johannes Gutenberg 3 At the end of many books you will find a list of the words with page numbers c where the words appear in the book What is this list called 4 What is an introduction to the book by an eminent personality called

5 A diatomic gas initially at 18 C is compressed adiabatically to one eighth of its original volume The temperature after compression will be a 395 4 C c 18 C b 144 C d 887 4 C 1996

Problem 249 A vertical cylinder of radius R is rotating with a constant angular velocity o along with holders A and B about the axis as shown The vertical movement of cylinder is restricted by the holders Oil is only in between the bottom of cylinder and surface as shown The thickness of the oil layer is t Assume that coefficient of viscosity is n and that cylinder can only rotate if there is no friction elsewhere Find the power required to overcome the viscous resistance A R

A block of mass m is released from the top of a 23 wedge of mass M as shown in figure All the surface are smooth Let N be the normal reaction between the ground and the wedge then inga og X M mg A N M m g B N m M g C N M m a 0

mass M with a semicircular track of radius R rests on a horizontal frictionless surface A uniform cylinder of radius r and mass m is released from rest from the top point A The cylinder slips on the semicircular frictionless track The distance travelled by the block when the cylinder reaches the point B is A M R r M m B m R r M m 2g R r VM M m C 2g R r m M m M m R M D none m In the above question the velocity of the block when the cylinder reaches point B is 2g R r 2g R r A M B m C m D M M M m M M m R I C M JEE 1983

1 Two masses m and m2 are connected by a spring of spring constant k and are placed on a smo horizontal surface Initially the spring is stretched through a distance d when the system is relea from rest Find the distance moved by the two masses when spring is compressed by a distance d

If the amplitude of particle executing SHM is doubled then which of the following quantities will be doubled Time period Total energy Angular frequency Maximum acceleration

Two forces of unequal magnitude simultaneously act on a particle making an angle 0 120 with each other If one of them is reversed the acceleration of the particle is becomes 3 times Calculate the ratio of the magnitude of the forces

In a wire of cross section radius r free electrons travel with drift velocity v when a currentflows through the wire What is the current in another wire of half the radius and of the same material when the drift velocity is 2v Question Type Single Correct Type 1 21 21 3 1 2

2 100 A conical container of radius R 1m and height H 5m is filled completely with liquid There is a hole at the bottom of container of area 10 m see figure Time taken to empty the conical container is n 10 sec Then find the value of n Take g 10 m s R

The frequency of first overtone of closed organ pipe of length is f A hole is made at a 1 distance of from closed end Now 6 frequency of first overtone is f2 then 5 4 56 L 100 is

The time of reverberation of a room A is one second The time in seconds of reverberation of a room having all the dimensions double of those of room A is 1 s 2 s 3 s

1 The gap between the plates of a parallel plate capacitor is filled wit isotropic dielectric whose permittivity varies linearly from t in the direction perpendicular to the plates The area of eac plate equals S the separation between the plates is equal to d Find a the capacitance of the capacitor b che b the space density of the bound charges as a function of e if the charge of the capacitor is q and the field E in it is directed toward the growing values

A certain quantity of O y 7 5 is compressed isothermally until its pressure is doubled P the gas is then allowed to expand adiabatically until its origional volume is restored then the final pressure P3 is term s of initial pressure P is 2 1 5 1 148 Question Type Single Correct Type 1 P 0 55 P 2 P3 0 76 P 3 P3 0 68 P 4 P 2 55 P

Ans a 0 032 Nm so that it is free to rotate in the horizontal plane Find the position of equilibrium of the system with respect to each other One magnet has a magnetic moment 4 times that of the other This arrangement is pivoted 32 Two magnets of equal mass are joined together at their centres so that their axes are at right angles to the magnetic meridian Ans Angles with the meridian are 14 03 and 75 97 33 A steel rod of mass 0 15 x 10 3 kg is suspended from its centre of gravity If the rod is magnetised s din anglais 200 ded so that it remains horizontal in the magnetic

In a forced vibration of a particle of mass m restoring force per unit displacement s and the damping force per unit velocity Rm The amplitude resonant frequency of oscillation is Select one a 1 21 s 2m R2 4m b 1 2T s m R 4m c 1 2 s m R 4m d 1 2m s m R2 2m

1 Differentiate the following w r t x 3 i 5x ii tan x sec x iii 6logx x 7

In the balanced condition the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below The resistance R3 has temperature coefficient 0 0004 C 1 If the temperature of R is increased by 100 C the voltage developed between S and T will be volt R 600 R 300 0 50 V V R R 1000 500 0

A particle is projected up with an initial velocity of 80 ft sec The ball will be at a height of 96 ft from the ground after Choose only 1 answer A 2 0 and 3 0 sec B Only at 3 0 sec C Only at 2 0 sec D After 1 and 2 sec Your Answer

A semiconductor X is made by doping a germanium crystal with arsenic Z 33 A secon semiconductor Y is made by doping germanium with indium Z 49 The two are joined en to end and connected to a battery as shown Which of the following statements is correct X Y Question Type Single Correct Type 1 X is P type Y is N type and the junction is forward biased 2 X is N type Y is P type and the junction is forward biased 3 X is P type Y is N type and the junction is reverse biased 4 X is N type Y is P type and the junction is reverse biased

0 65 AB is a platform of length 10 m kept on frictionless horizontal surface A man of same mass is standing on end A Friction coefficient between shoe of the man and platform is 0 5 Man starts running from A and stops at B Find the minimum time in seconds required by the person to arrive at B B

9 A capillary tube of radius r is immersed vertically in a liquid such that liquid rises in it to height h less than the length of the tube Mass of liquid in the capillary tube is m If radius of the capillary tube is increased by 50 then mass of liquid that will rise in the tube is

A 10 m long steel wire has mass of 5 g This wire is under a tension of 80 N The speed of transverse wave travelling on it is 200 ms 1 300 ms 1 340 ms 1 hr m 400 ms 1