Question and Answers Forum

OthersQuestion and Answers: Page 133

Question Number 21249 Answers: 0 Comments: 1

A particle slides down a frictionless parabolic (y = x^2 ) track (A − B − C) starting from rest at point A. Point B is at the vertex of parabola and point C is at a height less than that of point A. After C, the particle moves freely in air as a projectile. If the particle reaches highest point at P, then (a) KE at P = KE at B (b) height at P = height at A (c) total energy at P = total energy at A (d) time of travel from A to B = time of travel from B to P.

$A particle slides down a frictionless$ $parabolic (y = x^{2}) track (A - B - C)$ $starting from rest at point A . Point B$ $is at the vertex of parabola and point C$ $is at a height less than that of point A .$ $After C, the particle moves freely in air$ $as a projectile . If the particle reaches$ $highest point at P, then$ $(a) KE at P = KE at B$ $(b) height at P = height at A$ $(c) total energy at P = total energy at$ $A$ $(d) time of travel from A to B = time of$ $travel from B to P .$

Question Number 21224 Answers: 0 Comments: 1

One mole of a monoatomic real gas satisfies the equation p(V − b) = RT where b is a constant. The relationship of interatomic potential V(r) and interatomic distance r for the gas is given by

$One mole of a monoatomic real gas$ $satisfies the equation p (V - b) = RT$ $where b is a constant . The relationship$ $of interatomic potential V (r) and$ $interatomic distance r for the gas is$ $given by$

Question Number 21150 Answers: 0 Comments: 8

Two particles of mass m each are tied at the ends of a light string of length 2a. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ′a′ from the center P (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force F. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2x, is

$Two particles of mass m each are tied$ $at the ends of a light string of length 2 a .$ $The whole system is kept on a frictionless$ $horizontal surface with the string held$ $tight so that each mass is at a distance$ $^{'} a^{'} from the center P (as shown in the$ $figure) . Now, the mid - point of the$ $string is pulled vertically upwards with$ $a small but constant force F . As a result,$ $the particles move towards each other$ $on the surface . The magnitude of$ $acceleration, when the separation$ $between them becomes 2 x, is$

Question Number 21148 Answers: 0 Comments: 12

Find the compression in the spring if the system shown below is in equilibrium.

$Find the compression in the spring if$ $the system shown below is in$ $equilibrium .$

Question Number 21145 Answers: 0 Comments: 7

Figure shows an arrangement of blocks, pulley and strings. Strings and pulley are massless and frictionless. The relation between acceleration of the blocks as shown in the figure is

$Figure shows an arrangement of blocks,$ $pulley and strings . Strings and pulley$ $are massless and frictionless . The$ $relation between acceleration of the$ $blocks as shown in the figure is$

Question Number 21131 Answers: 0 Comments: 4

Figure shows a small bob of mass m suspended from a point on a thin rod by a light inextensible string of length l. The rod is rigidly fixed on a circular platform. The platform is set into rotation. The minimum angular speed ω, for which the bob loses contact with the vertical rod, is (1) (√(g/l)) (2) (√((2g)/l)) (3) (√(g/(2l))) (4) (√(g/(4l)))

$Figure shows a small bob of mass m$ $suspended from a point on a thin rod$ $by a light inextensible string of length$ $l . The rod is rigidly fixed on a circular$ $platform . The platform is set into$ $rotation . The minimum angular speed$ $ω, for which the bob loses contact with$ $the vertical rod, is$ $(1) \sqrt{\frac{g}{l}}$ $(2) \sqrt{\frac{2 g}{l}}$ $(3) \sqrt{\frac{g}{2 l}}$ $(4) \sqrt{\frac{g}{4 l}}$

Question Number 21124 Answers: 2 Comments: 0

Question Number 21112 Answers: 0 Comments: 0

A ball is bouncing elastically with a speed 1 m/s between walls of a railway compartment of size 10 m in a direction perpendicular to walls. The train is moving at a constant velocity of 10 m/s parallel to the direction of motion of the ball. As seen from the ground (a) the direction of motion of the ball changes every 10 seconds. (b) speed of ball changes every 10 seconds. (c) average speed of ball over any 20 second interval is fixed. (d) the acceleration of ball is the same as from the train.

$A ball is bouncing elastically with a$ $speed 1 m / s between walls of a railway$ $compartment of size 10 m in a direction$ $perpendicular to walls . The train is$ $moving at a constant velocity of 10 m / s$ $parallel to the direction of motion of$ $the ball . As seen from the ground$ $(a) the direction of motion of the ball$ $changes every 10 seconds .$ $(b) speed of ball changes every 10$ $seconds .$ $(c) average speed of ball over any 20$ $second interval is fixed .$ $(d) the acceleration of ball is the same$ $as from the train .$

Question Number 21109 Answers: 0 Comments: 2

STATEMENT-1 : The locus of z, if arg(((z − 1)/(z + 1))) = (π/2) is a circle. and STATEMENT-2 : ∣((z − 2)/(z + 2))∣ = (π/2), then the locus of z is a circle.

$STATEMENT - 1 : The locus of z, if$ $\arg (\frac{z - 1}{z + 1}) = \frac{π}{2} is a circle .$ $and$ $STATEMENT - 2 : ∣ \frac{z - 2}{z + 2} ∣ = \frac{π}{2}, then$ $the locus of z is a circle .$

Question Number 21100 Answers: 0 Comments: 1

if 3^(2n+3) =m,find 3^(−n)

$if 3^{2 n + 3} = m, find 3^{- n}$

Question Number 21097 Answers: 1 Comments: 0

Suppose in the plane 10 pairwise nonparallel lines intersect one another. What is the maximum possible number of polygons (with finite areas) that can be formed?

$Suppose in the plane 10 pairwise$ $nonparallel lines intersect one another .$ $What is the maximum possible number$ $of polygons (with finite areas) that can$ $be formed ?$

Question Number 21071 Answers: 2 Comments: 0

The values of ′k′ for which the equation ∣x∣^2 (∣x∣^2 − 2k + 1) = 1 − k^2 , has repeated roots, when k belongs to (1) {1, −1} (2) {0, 1} (3) {0, −1} (4) {2, 3}

$The values of^{'} k^{'} for which the equation$ $∣ x ∣^{2} (∣ x ∣^{2} - 2 k + 1) = 1 - k^{2}, has$ $repeated roots, when k belongs to$ $(1) {1, - 1}$ $(2) {0, 1}$ $(3) {0, - 1}$ $(4) {2, 3}$

Question Number 21070 Answers: 1 Comments: 2

Let us consider an equation f(x) = x^3 − 3x + k = 0. Then the values of k for which the equation has 1. Exactly one root which is positive, then k belongs to 2. Exactly one root which is negative, then k belongs to 3. One negative and two positive root if k belongs to

$Let us consider an equation f (x) = x^{3}$ $- 3 x + k = 0 . Then the values of k for$ $which the equation has$ $1 . Exactly one root which is positive,$ $then k belongs to$ $2 . Exactly one root which is negative,$ $then k belongs to$ $3 . One negative and two positive root$ $if k belongs to$

Question Number 21048 Answers: 0 Comments: 0

If the equation 2cos2x − (a + 7)cosx + 3a − 13 = 0 possesses atleast one real solution, then the maximum integral value of ′a′ can be

$If the equation 2 \cos 2 x - (a + 7) \cos x +$ $3 a - 13 = 0 possesses atleast one real$ $solution, then the maximum integral$ $value of^{'} a^{'} can be$

Question Number 21029 Answers: 0 Comments: 0

Question Number 21012 Answers: 1 Comments: 3

A spring with one end attached to a mass and the other to a rigid support is stretched and released. (a) Magnitude of acceleration, when just released is maximum. (b) Magnitude of acceleration, when at equilibrium position, is maximum. (c) Speed is maximum when mass is at equilibrium position. (d) Magnitude of displacement is always maximum whenever speed is minimum.

$A spring with one end attached to a$ $mass and the other to a rigid support is$ $stretched and released .$ $(a) Magnitude of acceleration, when$ $just released is maximum .$ $(b) Magnitude of acceleration, when$ $at equilibrium position, is maximum .$ $(c) Speed is maximum when mass is at$ $equilibrium position .$ $(d) Magnitude of displacement is$ $always maximum whenever speed is$ $minimum .$

Question Number 20989 Answers: 1 Comments: 1

In the figure shown below, the block of mass 2 kg is at rest. If the spring constant of both the springs A and B is 100 N/m and spring B is cut at t = 0, then magnitude of acceleration of block immediately is

$In the figure shown below, the block of$ $mass 2 kg is at rest . If the spring constant$ $of both the springs A and B is 100 N / m$ $and spring B is cut at t = 0, then$ $magnitude of acceleration of block$ $immediately is$

Question Number 20992 Answers: 3 Comments: 1

Question Number 20986 Answers: 1 Comments: 1

A 50 kg log rest on the smooth horizontal surface. A motor deliver a towing force T as shown below. The momentum of the particle at t = 5 s is

$A 50 kg \log rest on the smooth horizontal$ $surface . A motor deliver a towing force$ $T as shown below . The momentum of$ $the particle at t = 5 s is$

Question Number 20984 Answers: 1 Comments: 1

A ball of mass m is moving with a velocity u rebounds from a wall with same speed. The collision is assumed to be elastic and the force of interaction between the ball and the wall varies as shown in the figure given below. The value of F_m is

$A ball of mass m is moving with a$ $velocity u rebounds from a wall with$ $same speed . The collision is assumed$ $to be elastic and the force of interaction$ $between the ball and the wall varies as$ $shown in the figure given below . The$ $value of F_{m} is$

Question Number 20936 Answers: 1 Comments: 1

A graph of x versus t is shown in Figure. Choose correct alternatives from below. (a) The particle was released from rest at t = 0 (b) At B, the acceleration a > 0 (c) At C, the velocity and the acceleration vanish (d) Average velocity for the motion between A and D is positive (e) The speed at D exceeds that at E.

$A graph of x versus t is shown in Figure .$ $Choose correct alternatives from below .$ $(a) The particle was released from$ $rest at t = 0$ $(b) At B, the acceleration a > 0$ $(c) At C, the velocity and the$ $acceleration vanish$ $(d) Average velocity for the motion$ $between A and D is positive$ $(e) The speed at D exceeds that at E .$

Question Number 20916 Answers: 1 Comments: 0

A body starts rotating about a stationary axis with an angular acceleration b = 2t rad/s^2 . How soon after the beginning of rotation will the total acceleration vector of an arbitrary point on the body forms an angle of 60° with its velocity vector? (1) (2(√3))^(1/3) s (2) (2(√3))^(1/2) s (3) (2(√3)) s (4) (2(√3))^2 s

$A body starts rotating about a$ $stationary axis with an angular$ $acceleration b = 2 t rad / s^{2} . How soon$ $after the beginning of rotation will the$ $total acceleration vector of an arbitrary$ $point on the body forms an angle of 60 °$ $with its velocity vector ?$ $(1) {(2 \sqrt{3})}^{1 / 3} s$ $(2) {(2 \sqrt{3})}^{1 / 2} s$ $(3) (2 \sqrt{3}) s$ $(4) {(2 \sqrt{3})}^{2} s$

Question Number 20915 Answers: 1 Comments: 0

Two shells are fired from a canon with speed u each, at angles of α and β respectively with the horizontal. The time interval between the shots is t. They collide in mid air after time T from the first shot. Which of the following conditions must be satisfied? (a) α > β (b) T cos α = (T − t) cos β (c) (T − t) cos α = T cos β (d) u sin α T − (1/2) g T^2 = u sin β (T − t) − (1/2) g (T − t)^2

$Two shells are fired from a canon with speed u each, at$ $angles of α and β respectively with the horizontal . The$ $time interval between the shots is t . They collide in mid$ $air after time T from the first shot . Which of the$ $following conditions must be satisfied ?$ $(a) α > β$ $(b) T \cos α = (T - t) \cos β$ $(c) (T - t) \cos α = T \cos β$ $(d) u \sin α T - \frac{1}{2} g T^{2} = u \sin β (T - t) - \frac{1}{2} g {(T - t)}^{2}$

Question Number 20891 Answers: 0 Comments: 11

The Figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed ω and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed ω/2. The ring and disc are separated by frictionless ball bearing. The system is in the x-z plane. The point P on the inner disc is at a distance R from the origin, where OP makes an angle 30° with the horizontal. Then with respect to the horizontal surface (a) The point O has a linear velocity 3Rωi^∧ (b) The point P has a linear velocity ((11)/4)Rωi^∧ + ((√3)/4)Rωk^∧

$The Figure shows a system consisting$ $of (i) a ring of outer radius 3 R rolling$ $clockwise without slipping on a$ $horizontal surface with angular speed$ $ω and (i i) an inner disc of radius 2 R$ $rotating anti - clockwise with angular$ $speed ω / 2 . The ring and disc are$ $separated by frictionless ball bearing .$ $The system is in the x - z plane . The$ $point P on the inner disc is at a distance$ $R from the origin, where O P makes an$ $angle 30 ° with the horizontal . Then$ $with respect to the horizontal surface$ $(a) The point O has a linear velocity$ $3 R ω \overset{\land}{i}$ $(b) The point P has a linear velocity$ $\frac{11}{4} R ω \overset{\land}{i} + \frac{\sqrt{3}}{4} R ω \overset{\land}{k}$

Question Number 20842 Answers: 1 Comments: 0

Acceleration of a particle which is at rest at x = 0 is a^→ = (4 − 2x) i^∧ . Select the correct alternative(s). (a) Maximum speed of the particle is 4 units (b) Particle further comes to rest at x = 4 (c) Particle oscillates about x = 2 (d) Particle will continuously accelerate along the x-axis.

$Acceleration of a particle which is at$ $rest at x = 0 is \vec{a} = (4 - 2 x) \overset{\land}{i} . Select$ $the correct alternative (s) .$ $(a) Maximum speed of the particle is$ $4 units$ $(b) Particle further comes to rest at$ $x = 4$ $(c) Particle oscillates about x = 2$ $(d) Particle will continuously accelerate$ $along the x - axis .$

Question Number 20786 Answers: 2 Comments: 0

Two particles A and B start from the same position along the circular path of radius 0.5 m with a speed v_A = 1 ms^(−1) and v_B = 1.2 ms^(−1) in opposite direction. Determine the time before they collide.

$Two particles A and B start from the$ $same position along the circular path of$ $radius 0.5 m with a speed v_{A} = 1 {ms}^{- 1}$ $and v_{B} = 1.2 {ms}^{- 1} in opposite direction .$ $Determine the time before they collide .$

Pg 128 Pg 129 Pg 130 Pg 131 Pg 132 Pg 133 Pg 134 Pg 135 Pg 136 Pg 137

Contact: info@tinkutara.com