Page 1 AIPMT MAIN EXAMINATION- 2012 PHYSICS, BIOLOGY & CHEMISTRY DATE : 13-05-2012 Q.l The instantaneous values of altemating current and voltages in a circuit are given as i = ? ?? ?@ (100 nt) ampere e = ?@ sin (100 nt + n/3) volt The average power in Watts consumed in the circuit is- (1) F3 4 Ans. [3) Sol. P = V nns Inns COS ?@ (3) _!_ 8 Q.2 The po· wer dissipated in the circuit shown in the figure is 30 Watts. The value ofR is- R 50 l OY (1) 15 n (2) 10 n (3) 30 n (4) 20 n Ans. [2] Sol. y 2 P= - Req 30 = (10)2 ( 5R ) R + 5 5R 10 -- = - R + 5 3 3R= 2R + 10 R= lOQ CODE- D Page 2 AIPMT MAIN EXAMINATION- 2012 PHYSICS, BIOLOGY & CHEMISTRY DATE : 13-05-2012 Q.l The instantaneous values of altemating current and voltages in a circuit are given as i = ? ?? ?@ (100 nt) ampere e = ?@ sin (100 nt + n/3) volt The average power in Watts consumed in the circuit is- (1) F3 4 Ans. [3) Sol. P = V nns Inns COS ?@ (3) _!_ 8 Q.2 The po· wer dissipated in the circuit shown in the figure is 30 Watts. The value ofR is- R 50 l OY (1) 15 n (2) 10 n (3) 30 n (4) 20 n Ans. [2] Sol. y 2 P= - Req 30 = (10)2 ( 5R ) R + 5 5R 10 -- = - R + 5 3 3R= 2R + 10 R= lOQ CODE- D Q.3 The dimensions of H ? P ? P ? Q Q R@ are - (l) (L- 1 T) (2) (Lr 1 ) Ans. [2] Sol. 1 C=-- ?jN? ?X?@ :. dimension Lr 1 Q.4 An ideal gas goes from state A to state B via three diff erent processes as indicated in the P-V diagram - Ans. Sol. ??@ If Q 1, Qz, Q 3 indicate the heat absorbed by the gas along the three processes and ilU 1 , ilUz, ilU 3 indicate the change in intemal energy along the three processes respectively, then - (1) Q3 > Qz > Ql and ilU1 = ilUz = ilU3 (3) Q3 > Qz > Q, and ilU, > ilU2 > ilU3 [4] dU, = dU2 = dU3 Q1 > Qz > Q3 because ilQ = Ll W + dU Change in intemal energy independent from path and work depends on path and ilU1 > ilU2 > ilU3 Q.S To get an output Y = 1 in given circuit which of the following input will be correct- A B y c A B c (1) 1 0 1 (2) 1 1 0 (3) 0 1 0 (4) 1 0 0 Ans. [1] Sol. A B C= 1 0 1 0 Y= 1 1 Page 3 AIPMT MAIN EXAMINATION- 2012 PHYSICS, BIOLOGY & CHEMISTRY DATE : 13-05-2012 Q.l The instantaneous values of altemating current and voltages in a circuit are given as i = ? ?? ?@ (100 nt) ampere e = ?@ sin (100 nt + n/3) volt The average power in Watts consumed in the circuit is- (1) F3 4 Ans. [3) Sol. P = V nns Inns COS ?@ (3) _!_ 8 Q.2 The po· wer dissipated in the circuit shown in the figure is 30 Watts. The value ofR is- R 50 l OY (1) 15 n (2) 10 n (3) 30 n (4) 20 n Ans. [2] Sol. y 2 P= - Req 30 = (10)2 ( 5R ) R + 5 5R 10 -- = - R + 5 3 3R= 2R + 10 R= lOQ CODE- D Q.3 The dimensions of H ? P ? P ? Q Q R@ are - (l) (L- 1 T) (2) (Lr 1 ) Ans. [2] Sol. 1 C=-- ?jN? ?X?@ :. dimension Lr 1 Q.4 An ideal gas goes from state A to state B via three diff erent processes as indicated in the P-V diagram - Ans. Sol. ??@ If Q 1, Qz, Q 3 indicate the heat absorbed by the gas along the three processes and ilU 1 , ilUz, ilU 3 indicate the change in intemal energy along the three processes respectively, then - (1) Q3 > Qz > Ql and ilU1 = ilUz = ilU3 (3) Q3 > Qz > Q, and ilU, > ilU2 > ilU3 [4] dU, = dU2 = dU3 Q1 > Qz > Q3 because ilQ = Ll W + dU Change in intemal energy independent from path and work depends on path and ilU1 > ilU2 > ilU3 Q.S To get an output Y = 1 in given circuit which of the following input will be correct- A B y c A B c (1) 1 0 1 (2) 1 1 0 (3) 0 1 0 (4) 1 0 0 Ans. [1] Sol. A B C= 1 0 1 0 Y= 1 1 Q.6 Two metallic spheres of radii 1 em and 3 em are given charges of - 1 x 10- 2 C and 5 x 10- 2 C, respectively. If these are cotmected by a conducting wire, the final charge on the bigger sphere is - (1)3 x l0- 2 C (2)4 x l0- 2 C (3)1 x l0- 2 C (4)2 x l0- 2 C Ans. [1] Sol. Ototal = 4 x 10- 2 C Charge distribution oc capacitance oc radius : · Osman : Q big = 1 : 3 Qb . = 2. X 4 X 10- 2 = 3 X 10- 2 C lg 4 Q.7 Two radiations of photons energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is- (1) 1 : 2 (2) 1 : 1 (3) 1 : 5 (4) 1 : 4 Ans. [1] Sol. 2 2 Vmax = - (KEmaJ = - (Eph - W) Ill Ill R]?@ 1-0.5- = {0.5 = 1:2 v 2 2.5-o.) VT Q.8 The moment of inertia of a unifonn circular disc is maximum about an axis perpendicular to the disc and passing through - Ans. Sol. (1) c (4) I = Icm + md 2 d is maximum for B (2) D (4) B Q.9 A train moving at a speed of 220 ms- 1 towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sotmd reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the lTain is - (speed of sound in air is 330 ms _,) (1) 4000Hz (2) 5000Hz (3) 3000Hz (4) 3500Hz Ans. (2) Sol. n'=n (v+vs) v-v 5 = 1000 ( 330 + 220) 330-220 = 1000 ( 550) 110 =5000Hz Page 4 AIPMT MAIN EXAMINATION- 2012 PHYSICS, BIOLOGY & CHEMISTRY DATE : 13-05-2012 Q.l The instantaneous values of altemating current and voltages in a circuit are given as i = ? ?? ?@ (100 nt) ampere e = ?@ sin (100 nt + n/3) volt The average power in Watts consumed in the circuit is- (1) F3 4 Ans. [3) Sol. P = V nns Inns COS ?@ (3) _!_ 8 Q.2 The po· wer dissipated in the circuit shown in the figure is 30 Watts. The value ofR is- R 50 l OY (1) 15 n (2) 10 n (3) 30 n (4) 20 n Ans. [2] Sol. y 2 P= - Req 30 = (10)2 ( 5R ) R + 5 5R 10 -- = - R + 5 3 3R= 2R + 10 R= lOQ CODE- D Q.3 The dimensions of H ? P ? P ? Q Q R@ are - (l) (L- 1 T) (2) (Lr 1 ) Ans. [2] Sol. 1 C=-- ?jN? ?X?@ :. dimension Lr 1 Q.4 An ideal gas goes from state A to state B via three diff erent processes as indicated in the P-V diagram - Ans. Sol. ??@ If Q 1, Qz, Q 3 indicate the heat absorbed by the gas along the three processes and ilU 1 , ilUz, ilU 3 indicate the change in intemal energy along the three processes respectively, then - (1) Q3 > Qz > Ql and ilU1 = ilUz = ilU3 (3) Q3 > Qz > Q, and ilU, > ilU2 > ilU3 [4] dU, = dU2 = dU3 Q1 > Qz > Q3 because ilQ = Ll W + dU Change in intemal energy independent from path and work depends on path and ilU1 > ilU2 > ilU3 Q.S To get an output Y = 1 in given circuit which of the following input will be correct- A B y c A B c (1) 1 0 1 (2) 1 1 0 (3) 0 1 0 (4) 1 0 0 Ans. [1] Sol. A B C= 1 0 1 0 Y= 1 1 Q.6 Two metallic spheres of radii 1 em and 3 em are given charges of - 1 x 10- 2 C and 5 x 10- 2 C, respectively. If these are cotmected by a conducting wire, the final charge on the bigger sphere is - (1)3 x l0- 2 C (2)4 x l0- 2 C (3)1 x l0- 2 C (4)2 x l0- 2 C Ans. [1] Sol. Ototal = 4 x 10- 2 C Charge distribution oc capacitance oc radius : · Osman : Q big = 1 : 3 Qb . = 2. X 4 X 10- 2 = 3 X 10- 2 C lg 4 Q.7 Two radiations of photons energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is- (1) 1 : 2 (2) 1 : 1 (3) 1 : 5 (4) 1 : 4 Ans. [1] Sol. 2 2 Vmax = - (KEmaJ = - (Eph - W) Ill Ill R]?@ 1-0.5- = {0.5 = 1:2 v 2 2.5-o.) VT Q.8 The moment of inertia of a unifonn circular disc is maximum about an axis perpendicular to the disc and passing through - Ans. Sol. (1) c (4) I = Icm + md 2 d is maximum for B (2) D (4) B Q.9 A train moving at a speed of 220 ms- 1 towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sotmd reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the lTain is - (speed of sound in air is 330 ms _,) (1) 4000Hz (2) 5000Hz (3) 3000Hz (4) 3500Hz Ans. (2) Sol. n'=n (v+vs) v-v 5 = 1000 ( 330 + 220) 330-220 = 1000 ( 550) 110 =5000Hz Q.lO Ans. Sol. The half life of a radioactive nucleus is 50 days. The time interval (tz - t,) between the time tz when ?@ of it 3 has decayed and the time t 1 when ..!_ of it had decayed is - 3 (1) 50 days [1] (2) 60 days (3) 15 days * Radioactive substance disactive 2/3rd in time t 2 and l/3rd in time t 1 • (4) 30 days * It becomes _!_ · when it disintegrate 2/3rd to l/3rd so time t 2 - t 1 is half-life of substance. 2 Q.ll A car of mass m is moving on a level circular track of radius R. If ? ?@ represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by- Ans. Sol. (1) ?r?OQMjM ?@ [3] mv 2 ?@ mg;;::: -- R v ?@ ??jMr?@ Vmax = ??NjMr?@ (2) ??r? O ?NjM U@ (3) ??NjM U r?@ Q.12 A circular platfom1 is mounted on a frictionless vertical axle. Its radius R = 2m and its moment of inertia about the axle is 200 kg m 2 . It is initially at rest. A 50 kg man stands on the edge of the platfonn and begins to walk along the edge at the speed of 1 ms - I relative to the ground. Time taken by the man to complete one revolution is - (1) 3ns 2 Ans. [2] Sol. l 1 ro 1 + l2 ro2=0 200(±) + 200 ())2 = 0 1 ())2=-- 2 roR = ro , - roz = 1 rad/sec 21t T= -=2Ksec ()) (2) hs 1t (3) -s 2 ( 4) 1t s Q.13 If the momentum of an electron is changed by P, then the de-Broglie wavelength associated with it changes by 0.5%. The initial momentum of electron will be - (1) 400 p ( 2 ) R?P@ (3) 100 p (4) 200 p Page 5 AIPMT MAIN EXAMINATION- 2012 PHYSICS, BIOLOGY & CHEMISTRY DATE : 13-05-2012 Q.l The instantaneous values of altemating current and voltages in a circuit are given as i = ? ?? ?@ (100 nt) ampere e = ?@ sin (100 nt + n/3) volt The average power in Watts consumed in the circuit is- (1) F3 4 Ans. [3) Sol. P = V nns Inns COS ?@ (3) _!_ 8 Q.2 The po· wer dissipated in the circuit shown in the figure is 30 Watts. The value ofR is- R 50 l OY (1) 15 n (2) 10 n (3) 30 n (4) 20 n Ans. [2] Sol. y 2 P= - Req 30 = (10)2 ( 5R ) R + 5 5R 10 -- = - R + 5 3 3R= 2R + 10 R= lOQ CODE- D Q.3 The dimensions of H ? P ? P ? Q Q R@ are - (l) (L- 1 T) (2) (Lr 1 ) Ans. [2] Sol. 1 C=-- ?jN? ?X?@ :. dimension Lr 1 Q.4 An ideal gas goes from state A to state B via three diff erent processes as indicated in the P-V diagram - Ans. Sol. ??@ If Q 1, Qz, Q 3 indicate the heat absorbed by the gas along the three processes and ilU 1 , ilUz, ilU 3 indicate the change in intemal energy along the three processes respectively, then - (1) Q3 > Qz > Ql and ilU1 = ilUz = ilU3 (3) Q3 > Qz > Q, and ilU, > ilU2 > ilU3 [4] dU, = dU2 = dU3 Q1 > Qz > Q3 because ilQ = Ll W + dU Change in intemal energy independent from path and work depends on path and ilU1 > ilU2 > ilU3 Q.S To get an output Y = 1 in given circuit which of the following input will be correct- A B y c A B c (1) 1 0 1 (2) 1 1 0 (3) 0 1 0 (4) 1 0 0 Ans. [1] Sol. A B C= 1 0 1 0 Y= 1 1 Q.6 Two metallic spheres of radii 1 em and 3 em are given charges of - 1 x 10- 2 C and 5 x 10- 2 C, respectively. If these are cotmected by a conducting wire, the final charge on the bigger sphere is - (1)3 x l0- 2 C (2)4 x l0- 2 C (3)1 x l0- 2 C (4)2 x l0- 2 C Ans. [1] Sol. Ototal = 4 x 10- 2 C Charge distribution oc capacitance oc radius : · Osman : Q big = 1 : 3 Qb . = 2. X 4 X 10- 2 = 3 X 10- 2 C lg 4 Q.7 Two radiations of photons energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is- (1) 1 : 2 (2) 1 : 1 (3) 1 : 5 (4) 1 : 4 Ans. [1] Sol. 2 2 Vmax = - (KEmaJ = - (Eph - W) Ill Ill R]?@ 1-0.5- = {0.5 = 1:2 v 2 2.5-o.) VT Q.8 The moment of inertia of a unifonn circular disc is maximum about an axis perpendicular to the disc and passing through - Ans. Sol. (1) c (4) I = Icm + md 2 d is maximum for B (2) D (4) B Q.9 A train moving at a speed of 220 ms- 1 towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sotmd reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the lTain is - (speed of sound in air is 330 ms _,) (1) 4000Hz (2) 5000Hz (3) 3000Hz (4) 3500Hz Ans. (2) Sol. n'=n (v+vs) v-v 5 = 1000 ( 330 + 220) 330-220 = 1000 ( 550) 110 =5000Hz Q.lO Ans. Sol. The half life of a radioactive nucleus is 50 days. The time interval (tz - t,) between the time tz when ?@ of it 3 has decayed and the time t 1 when ..!_ of it had decayed is - 3 (1) 50 days [1] (2) 60 days (3) 15 days * Radioactive substance disactive 2/3rd in time t 2 and l/3rd in time t 1 • (4) 30 days * It becomes _!_ · when it disintegrate 2/3rd to l/3rd so time t 2 - t 1 is half-life of substance. 2 Q.ll A car of mass m is moving on a level circular track of radius R. If ? ?@ represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by- Ans. Sol. (1) ?r?OQMjM ?@ [3] mv 2 ?@ mg;;::: -- R v ?@ ??jMr?@ Vmax = ??NjMr?@ (2) ??r? O ?NjM U@ (3) ??NjM U r?@ Q.12 A circular platfom1 is mounted on a frictionless vertical axle. Its radius R = 2m and its moment of inertia about the axle is 200 kg m 2 . It is initially at rest. A 50 kg man stands on the edge of the platfonn and begins to walk along the edge at the speed of 1 ms - I relative to the ground. Time taken by the man to complete one revolution is - (1) 3ns 2 Ans. [2] Sol. l 1 ro 1 + l2 ro2=0 200(±) + 200 ())2 = 0 1 ())2=-- 2 roR = ro , - roz = 1 rad/sec 21t T= -=2Ksec ()) (2) hs 1t (3) -s 2 ( 4) 1t s Q.13 If the momentum of an electron is changed by P, then the de-Broglie wavelength associated with it changes by 0.5%. The initial momentum of electron will be - (1) 400 p ( 2 ) R?P@ (3) 100 p (4) 200 p Ans. (4] Sol. p = ?@ ?i@ ?Z i ]@ ?? ?@ ilP ?a@ . P M ] M ? p[] MM p A 0.5 1 - 100 p. = 1000 p = 200 p I 5 Q.14 If Ve is escape velocity and v 0 is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by - (2) Ve = ?R v P@ (3) Ve = .J2 V 0 Ans. [3) Sol. Vescape = ? R ? m@ Vorbital = ?g[@ Vescape = .J2 Vo Q.l S The equation of a simple hanuonic wave is given by y = 3 sin ?@ (SOt- x) 2 (4) V 0 = .J2 Ve where x and y are in meters and t is in seconds. T he ratio of maximum particle velocit y to the wave velocity IS - 3 (1) - n 2 Ans. [1] Sol. Vmax = aco v = nA "max aco a(2nn) --=- = MMMGMM?@ v 11A U A n 3n =Ka=- x3=- 2 2 (2) 3n 2na 2na T= 2n K 2 (3) - n 3 (4) 2nRead More

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