Syllabus Physics - Heat, SHM and waves Mathematics - Permutation and Combination, Matrices, Binomial theorem, Exponential log series, sequence and series |
| Q1. The temperature of an ideal gas is increased from 27 °C to 927 °C. The root mean square speed of its molecules becomes Q2. At a given volume and temperature, the pressure of a gas Q3. A monatomic ideal gas, initially at temperature T1 is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T2 by releasing the piston suddenly. If L1 and L2 are the lengths of the gas column before and after expansion respectively, then T1 / T2 is given by Q4 A cycle tyre bursts suddenly. This represents an Q5. The slope of isothermal and adiabatic curves are related as Q6. A box contains n molecules of gas. How will the pressure of the gas be affected if the number of molecules is made 2n Q7. The pressures P of an ideal gas and its mean kinetic energy per unit volume are related as Q8. If a gas has f degrees of freedom, the ratio of the specific heats g the gas is Q9. The temperature of gas is produced by Q10 A polyatomic gas with f degrees of freedom has a mean energy per molecules given by Q11 The number of translational degrees of freedom for a diatomic gas is Q12 The internal energy U is a unique function of any state because change in U Q13. A cube of side 5 cm made of iron, and having a mass of 1500 gm, is heated from 25° C to 400° C. The specific heat for iron is 0.12 cal/gm °C and the coefficient of volume expansion is 3.5 x 10–5 / °C. The change in internal energy of the cube is (atmospheric pressure = 105 N/m2): Q14. One end of a copper rod of length 1.0 m and area of cross-section 10–3 m2 is immersed in boiling water and other end in ice. If the coefficient of thermal conductivity of copper is 92 cal/ms C° and the latent heat of ice is 8 x 104 cal/kg., then the amount of ice which melt in one minute is: Q15. A tap supplies water at 10 °C and another tap at 100 °C. How much hot water must be taken so that we get 20 kg water at 25°C? Q16. The average kinetic energy per mole of hydrogen at a given temperature is: Q17. A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is: Q18. The volume of air increases by 5 % in its adiabatic expansion. The percentage decrease in its pressure will be: Q19. Two spherical vessels of equal volume are connected by a narrow tube. The apparatus contains an ideal gas at one atmosphere and 300 K. Now if one vessel is sphere and 300 K. Now if one vessel is immersed in a bath of constant temperature 600 K and the other in a bath of constant temperature 300 K, then the common pressure will be: Q20 A wall has two layers A and B, each made of different material. Both the layers have same thickness. The thermal conductivity of A is twice that of B. Under thermal equilibrium, the temperature difference across the wall is 36 °C. The temperature difference across the layer A is: Q21 Which of the following quantities are always zero in a simple harmonic motion ? (a) Q22 Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel. the motion of the particle is Q23 The motion of a particle is given by x = A sin wt + B cos wt. The motion of the particle is Q24 When a sound wave goes from one medium to the quantity that remains unchanged is
Q25 The differential equation of a wave is Q26 The relation between velocity of sound in a gas (v) and r.m.s. velocity of molecules of gas (Vrms.) is Q27 When a wave is reflected from a denser medium, the change in phase is Q28 A closed pipe has certain frequency. Now its length is halved. Considering the end correction, its frequency will now become Q29 The fundamental frequency of a closed end organ pipe is n. Its length is doubled and radius is halved. Its frequency will become nearly Q30 The equation of a plane progressive wave is y = 0.9 sin 4 p Q31 Three transverse waves are represented by Q32 If two waves of same frequency and same amplitude, on superposition, produce a resultant disturbance of the same amplitude, the wave differ in phase by Q33 A body of mass 5 gram is executing S.H.M. A point O. with an amplitude of 10 cm, its maximum is 100 cm/s. Its velocity will be 50 cm s−1 at a distance (in cm) Q34 The potential energy of a particle (Ux) executing SHM is given by Q35 A second's pendulum is placed in a space laboratory orbiting around the earth at a height 3 R from the earth's surface where R is earth's radius. The time period of the pendulum will be Q36 The threshold intensity of sound is 10−12 W m−2. What is the intensity level of sound whose intensity is 10−8 W m−2 ? Q37 Two sinusoidal plane waves of same frequency having intensities I0 and 4 I0. are traveling in the same direction, the resultant intensity at a point at which waves meet with a phase difference of zero radian is
Q38 A child swinging on a swing in sitting position, stands up, then the time period of the swing will Q39 The displacement y of a wave traveling x ‑direction is given by Q40 The displacement of a particle varies according to the relation x = 4 (cos pt + sin pt ). The amplitude of the particle is [ [ Mathematics ] Q81 The maximum number of points into which 4 circles and 4 straight lines intersect is Q82 The number of products that can be formed with 10 prime numbers taken two or more at a time is Q83 The number of rectangles in the following figure is Q84 If n(B) = 2 and the number of mappings from A to B which are onto is 30, then number of elements in A is Q85 The number of ways in which 6 red roses and 3 white roses can form a garland so that all the white roses come together is Q86 We are required to form different words the help of the word INTEGER. Let m1 be the number of words in which I and N are never together and m2 be the number of words which begin with I and end with R, then Q87 The number of divisors of 3630, which have a remainder of 1 when divided by 4, is Q88 The sum of divisors of 25 . 37 . 53. 72 is Q89 If in a chess tournament each contestant plays once against each of the others and in all 45 games are played, then the number of participants is Q90 The number of ways of choosing 10 balls from infinite white, red, blue and green balls is
Q91 Number of positive unequal integral solutions of the equation x + y + z = 6 is Q92 20 people are to travel by a double decker bus which can carry 9 in the lower deck and 11 in the upper deck. In how many ways can the party be seated if 4 keep themselves in the lower deck and 5 keep in the upper deck ? Q93 The number of all possible selections of one 10 or more questions from 10 given questions, each question having an alternative is Q94 There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. The number of participants is Q95 There are 4 parcels and 5 post offices. In how many ways can 4 parcels be got registered? Q96 Six X have to be placed in the squares of adjoining figure such that each row contains at least one X. In how many different ways can this be done ? Q97 On a railway there are 10 stations. The number of types of tickets required in order that it may be possible to book a passenger from every station to every other is Q98 How many words can be formed by taking 4 letters at a time out of letters of the word MATHEMATICS? Q99 There are 10 cages for keeping 10 animals in circus in which 4 cages are so small that 5 animals out of 10 can not enter into them. In how many ways can 10 animals be kept in 10 cages ? Q100 A letter lock contains 5 rings each marked with four different letters. The number of all possible unsuccessful attempts to open the lock is Q102 If a, b, c be in AP ., b, c, d are in GP ., and c, d, e are in HP , then a, c, e will be in Q103 Three non − zero real numbers form an AP and the squares of these numbers taken in the same order form a GP then the number of all possible common ratios of the GP is Q104 If pth , qth, rth and sth terms of an AP are in GP then q − q, q − r, r − s are in
Q105 The nth term of the series 4, 14, 30, 52, 80, 114 ………. is Q106 If in the expansion of (1 + x), the coefficients of (2r + 3)th and (r − 1)th terms are equal, then the value of r is Q107 The coefficient of x17 in the expansion of (x − 1) (x − 2) (x − 3) ….. (x − 18) is Q109 If in the expansion of Q110 The value of Q111 Q112 The sum of the series log 4 2 − log 8 2 + log 16 2 − …, is Q113 2 log x − log (x + 1) − log (x − 1) is equal to Q114 The coefficient of xn , where n is a multiple of , in the expansion of log (1 + x + x2) is Q115 The sum of the series Q116. If the system of equations x – ky – z = 0, kx – y – z = 0, x + y – z = 0 has a non-zero solution, then the possible values of k are: Q117. If A =
Q118. If A = Q119. If A = Q120. If P =
|
times that of helium
atm 
atm 
atm
d2y/dt2 
when it is reflected at a rigid support, its amplitude becomes 
of its previous value. The equation of the reflected wave is
metres
is equal to
(11!)2
, y , 
be in AP then x, 
, z will be in
is
occurs in the rth term, then
upto three decimal places is 
is equal to
is equal to
and B =
, then value of a for which A2 = B is: 
and | A3 | = 125 then the value of a is: 
and I =
and A–1 = 
, then the value of c and d are:
and A =
and Q = PAPT and x = PTQ2005P then x is equal to: 
No comments:
Post a Comment