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1751.

A block of mass ‘m’ is pushed towards a movable wedge of mass ‘2m’ and height h with a velocity u. All surfaces are smooth. The minimum value of u for which the block will reach the top of the wedge is

Answer»

A block of mass ‘m’ is pushed towards a movable wedge of mass ‘2m’ and height h with a velocity u. All surfaces are smooth. The minimum value of u for which the block will reach the top of the wedge is


1752.

81.The volume of a drop of water is 0.0018ml then the number of water molecules present in two drop of water at room temperature is:

Answer» 81.The volume of a drop of water is 0.0018ml then the number of water molecules present in two drop of water at room temperature is:
1753.

If the lines are drawn in proportion to the charge, what is the ratio q1q2?

Answer»

If the lines are drawn in proportion to the charge, what is the ratio q1q2?




1754.

A body constrained to move in z direction is subjected to a force given by →F=(3^i−10^j+5^k) N. What is the work done by this force in moving the body through a distance of 5 m along z−axis?

Answer»

A body constrained to move in z direction is subjected to a force given by F=(3^i10^j+5^k) N. What is the work done by this force in moving the body through a distance of 5 m along zaxis?

1755.

Two identical parallel plate capacitors are connected in series and then joined with a battery of 100 V. A slab of dielectric constant 4 is inserted between the plates of the second capacitor. The potential difference across the capacitors (1) and (2) will be respectively

Answer»

Two identical parallel plate capacitors are connected in series and then joined with a battery of 100 V. A slab of dielectric constant 4 is inserted between the plates of the second capacitor. The potential difference across the capacitors (1) and (2) will be respectively

1756.

If error in the measurement of a momentum of a particle is 10% and mass is known exactly , the permissible error in the determination of kinetic energy is

Answer» If error in the measurement of a momentum of a particle is 10% and mass is known exactly , the permissible error in the determination of kinetic energy is
1757.

Two glass bulbs of equal volume are connected by a narrow tube and are filled with a gas at 00 C at a pressure of 76 cm of mercury. One of the bulbs is then placed in melting ice and the other is placed in a water bath maintained at 620 C. What is the new value of the pressure inside the bulbs ? The volume of the connecting tube is negligible.

Answer»

Two glass bulbs of equal volume are connected by a narrow tube and are filled with a gas at 00 C at a pressure of 76 cm of mercury. One of the bulbs is then placed in melting ice and the other is placed in a water bath maintained at 620 C. What is the new value of the pressure inside the bulbs ? The volume of the connecting tube is negligible.

1758.

Figure shows a spring fixed at the bottom end of an incline of inclination 37∘. A small block of mass 2 kg starts slipping down the incline from a point 5.8 m away from front end of the spring. The block compresses the spring by 20 cm, stops momentarily and then rebounds through a distance of 1 m up the incline. The spring constant of the spring ( in N/m) is (Take g=10 m/s2)

Answer» Figure shows a spring fixed at the bottom end of an incline of inclination 37. A small block of mass 2 kg starts slipping down the incline from a point 5.8 m away from front end of the spring. The block compresses the spring by 20 cm, stops momentarily and then rebounds through a distance of 1 m up the incline. The spring constant of the spring ( in N/m) is (Take g=10 m/s2)

1759.

1000 identical drops of mercury are charged to the same potential at 10 V. All these are now combined to make one large drop. The potential of the large drop is

Answer» 1000 identical drops of mercury are charged to the same potential at 10 V. All these are now combined to make one large drop. The potential of the large drop is
1760.

Figure shows three concentric conducting spherical shells with inner and outer shells earthed and the middle shell is given a charge q . Let, q1 be the charge accumulated on sphere 1 and q3 be the charge accumulated on sphere 3, then match the column 1 with column 2 (where, K is Coulomb's constant)S.NoColumn 1S.NoColumn 21.q1a.02.q3b.−425q3.Electrostatic energy of the system stored in the region II.c.−2125q d.−q e.2K(q)235r f.2K(q1+q)235r

Answer»

Figure shows three concentric conducting spherical shells with inner and outer shells earthed and the middle shell is given a charge q . Let, q1 be the charge accumulated on sphere 1 and q3 be the charge accumulated on sphere 3, then match the column 1 with column 2 (where, K is Coulomb's constant)















































S.NoColumn 1S.NoColumn 2
1.q1a.0
2.q3b.425q
3.Electrostatic energy of the system stored in the region II.c.2125q
d.q
e.2K(q)235r


f.2K(q1+q)235r


1761.

current density j at an area A=(2i+3j)mm2 is j=(3j+4k).current through The area is

Answer» current density j at an area A=(2i+3j)mm2 is j=(3j+4k).current through The area is
1762.

Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length 0.01 m. The frequency of vibration of the beam with a 0.5 kg mass attached at the free tip, is 100 Hz. The flexural rigidity (in Nm2) of the beam is

Answer» Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length 0.01 m. The frequency of vibration of the beam with a 0.5 kg mass attached at the free tip, is 100 Hz. The flexural rigidity (in Nm2) of the beam is
1763.

A steel wire of original length 1 m and cross-sectional area 4.0 mm is clamped at the two ends so that it lies horizontally and without tension. If a load of 2.16 kg is suspended from the middle point of the wire, what would be its vertical depression?Y f the steel 2.0 x 10" N m2. Take g-10 m s2

Answer» A steel wire of original length 1 m and cross-sectional area 4.0 mm is clamped at the two ends so that it lies horizontally and without tension. If a load of 2.16 kg is suspended from the middle point of the wire, what would be its vertical depression?Y f the steel 2.0 x 10" N m2. Take g-10 m s2
1764.

nta galvanometer having a resistance of 9 ohm is shunted by awire of resistance 2 ohm . if the total current is 1 amp the part of it passing through the shu nt will ben

Answer» nta galvanometer having a resistance of 9 ohm is shunted by awire of resistance 2 ohm . if the total current is 1 amp the part of it passing through the shu nt will ben
1765.

6.The figure shows an isoceles triangular plate of mass M and base L. The angle at the apex is 90. The apex lies at the origin and the base is parallel to x-axis. Find the moment of inertia of the plate about : * z axis * x axis * y axis * about its base parallel to x-axis

Answer» 6.The figure shows an isoceles triangular plate of mass M and base L. The angle at the apex is 90. The apex lies at the origin and the base is parallel to x-axis. Find the moment of inertia of the plate about : * z axis * x axis * y axis * about its base parallel to x-axis
1766.

A point on a body performing pure rotation is 10 cm from the axis of rotation of body. Angular position of the point from reference line is given by θ=0.5e^{2t } , where θ is in radian and t in second. The acceleration of the point is

Answer» A point on a body performing pure rotation is 10 cm from the axis of rotation of body. Angular position of the point from reference line is given by θ=0.5e^{2t } , where θ is in radian and t in second. The acceleration of the point is
1767.

A hollow sphere of inner radius R and outer radius 2R is made of a material of thermal conductivity K. It is surrounded by another hollow sphere of inner radius 2R and outer radius 3R made of the same material of thermal conductivity K. The inside of the smaller sphere is maintained at 0∘C and the outside of the bigger sphere is at 100∘C. The system is in steady state. Find the temperature of the interface.

Answer»

A hollow sphere of inner radius R and outer radius 2R is made of a material of thermal conductivity K. It is surrounded by another hollow sphere of inner radius 2R and outer radius 3R made of the same material of thermal conductivity K. The inside of the smaller sphere is maintained at 0C and the outside of the bigger sphere is at 100C. The system is in steady state. Find the temperature of the interface.

1768.

A small planet is revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force between the planet and the star were proportional of R−52, then T would be proportional to

Answer»

A small planet is revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force between the planet and the star were proportional of R52, then T would be proportional to


1769.

An inductor -coil, a capacitor and an AC source of rms voltage 24 V are connected in series. When the frequency of the source is varied, a maximum rms current of 6.0 A is observed. If this inductor coil is connected to a battery of emf 12 V and internal resistance 4.0 Ω, what will be the current ?

Answer»

An inductor -coil, a capacitor and an AC source of rms voltage 24 V are connected in series. When the frequency of the source is varied, a maximum rms current of 6.0 A is observed. If this inductor coil is connected to a battery of emf 12 V and internal resistance 4.0 Ω, what will be the current ?

1770.

A particle of mass 0.3 kg is subjected to a force F=−kx with k=15 Nm. What will be the magnitude of its initial acceleration (in ms2), if it is released from a point x=20 cm from its equilibrium position?

Answer»

A particle of mass 0.3 kg is subjected to a force F=kx with k=15 Nm. What will be the magnitude of its initial acceleration (in ms2), if it is released from a point x=20 cm from its equilibrium position?

1771.

An electromagnetic wave of frequency 5 GHz is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in this medium is _______ × 107 m/s.

Answer» An electromagnetic wave of frequency 5 GHz is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in this medium is _______ × 107 m/s.


1772.

A particle of mass m is projected with a velocity v making an angle of 45∘ with the horizontal. The magnitude of the angular momentum of the projectile about the point of projection when the particle is at its maximum height h is given by which of the following relation(s)?

Answer»

A particle of mass m is projected with a velocity v making an angle of 45 with the horizontal. The magnitude of the angular momentum of the projectile about the point of projection when the particle is at its maximum height h is given by which of the following relation(s)?

1773.

1.how can a force be variable? 2. if 3 masses are connected with spring placed in a series .if the last spring is cut what will be the acceleration of all the masses?(m1=2m ; m2=4m ; m3 =7m)

Answer» 1.how can a force be variable? 2. if 3 masses are connected with spring placed in a series .if the last spring is cut what will be the acceleration of all the masses?(m1=2m ; m2=4m ; m3 =7m)
1774.

A juggler throws ball into air. He throws one whenever the previous one is at its highest point. How high do the ball rise if he throws n balls in each second (Neglecting air friction).

Answer» A juggler throws ball into air. He throws one whenever the previous one is at its highest point. How high do the ball rise if he throws n balls in each second (Neglecting air friction).
1775.

a projectile of mass m is fired with velocity v at an angle θ with the horizontal. What is the change in momentum as it rises to the highest point of its trajectory

Answer» a projectile of mass m is fired with velocity v at an angle θ with the horizontal. What is the change in momentum as it rises to the highest point of its trajectory
1776.

A car moves on a circular track of radius r in a horizontal plane. The speed of the car is increasing constantly at a rate of dvdt=a. The coefficient of static friction between the road and the tyre is μ. Find the speed at which the car will skid.

Answer»

A car moves on a circular track of radius r in a horizontal plane. The speed of the car is increasing constantly at a rate of dvdt=a. The coefficient of static friction between the road and the tyre is μ. Find the speed at which the car will skid.

1777.

A wire of 9Ω resistance having 30 cm length is tripled on itself. What is its new resistance?

Answer» A wire of 9Ω resistance having 30 cm length is tripled on itself. What is its new resistance?
1778.

A 10g bullet is moving at 200m/s stops after penetrating 5cm of wooden plank. What will be the average force exerted on the bullet?

Answer»

A 10g bullet is moving at 200m/s stops after penetrating 5cm of wooden plank. What will be the average force exerted on the bullet?

1779.

A air filled parallel plate capacitor having circular plates of diameter D is given a charge Q. The magnitude of the force acting between the plates is

Answer» A air filled parallel plate capacitor having circular plates of diameter D is given a charge Q. The magnitude of the force acting between the plates is
1780.

16. If equivalent weight of a metal oxide is 40 then equivalent weight of metal chloride will be

Answer» 16. If equivalent weight of a metal oxide is 40 then equivalent weight of metal chloride will be
1781.

calculate the threshold frequency of the metal from which the photoelectrons are emitted with zero velocity when exposed to radiation of wavelength 6800 Armstrong

Answer» calculate the threshold frequency of the metal from which the photoelectrons are emitted with zero velocity when exposed to radiation of wavelength 6800 Armstrong
1782.

The voltage across the 10 Ω resistor in the given circuit is x volt.The value of x to the nearest integer is .

Answer» The voltage across the 10 Ω resistor in the given circuit is x volt.



The value of x to the nearest integer is .
1783.

A particle is projected at an angle of 37∘ with an inclined plane. The inclined plane is at an angle of 60∘ with the horizontal. Find I. Time of flight of particle. II. Distance traveled by particle (AB) along the inclined plane

Answer»

A particle is projected at an angle of 37 with an inclined plane. The inclined plane is at an angle of 60 with the horizontal. Find
I. Time of flight of particle.
II. Distance traveled by particle (AB) along the inclined plane


1784.

A cylindrical block of 314N is exerting a pressure of 200Pa then find the circumference of the circular part of the cylinder.

Answer» A cylindrical block of 314N is exerting a pressure of 200Pa then find the circumference of the circular part of the cylinder.
1785.

A uniform ladder of length 5 m and mass 100 kg is in equilibrium between a vertical smooth wall and a rough horizontal surface as shown below. Find the minimum friction co-efficient between floor and ladder for this equilibrium.

Answer»

A uniform ladder of length 5 m and mass 100 kg is in equilibrium between a vertical smooth wall and a rough horizontal surface as shown below. Find the minimum friction co-efficient between floor and ladder for this equilibrium.




1786.

If at time t=0, the initial velocity of a body is 5 ms−1, then velocity at time t=10 sec if the a−t for its motion as shown will be

Answer»

If at time t=0, the initial velocity of a body is 5 ms1, then velocity at time t=10 sec if the at for its motion as shown will be




1787.

A solid circular bar of steel (G = 78 GPa) transmits a torque T=360N−m. The allowable stresses in tension, compression, and shear are 90 MPa, 70 MPa and 40 MPa respectively. Also the allowable tensile strain is 220×10−6. The minimum required diameter(in mm) of the bar is__________. (Rounded to one decimal place).37.7

Answer» A solid circular bar of steel (G = 78 GPa) transmits a torque T=360Nm. The allowable stresses in tension, compression, and shear are 90 MPa, 70 MPa and 40 MPa respectively. Also the allowable tensile strain is 220×106. The minimum required diameter(in mm) of the bar is__________. (Rounded to one decimal place).
  1. 37.7
1788.

if the velocity of an electron is doubled its de broglei frequency will ?? 1. halved 2. doubled 3. remain same 4 . four times

Answer» if the velocity of an electron is doubled its de broglei frequency will ?? 1. halved 2. doubled 3. remain same 4 . four times
1789.

If a car covers 2/5th of the total distance with v1 speed and 3/5th distance with v2 speed, then average speed of the car is

Answer»

If a car covers 2/5th of the total distance with v1 speed and 3/5th distance with v2 speed, then average speed of the car is

1790.

If v=0 then In v=ri ( r=0 or I=0 ) does that mean at 0 kelvin when resistance is zero current flows even if there's no potential difference?

Answer»

If v=0 then

In v=ri ( r=0 or I=0 ) does that mean at 0 kelvin when resistance is zero current flows even if there's no potential difference?

1791.

A hollow sphere is being pulled by force F applied at its center on a sufficiently rough surface. Find the value of friction acting on the hollow sphere.

Answer»

A hollow sphere is being pulled by force F applied at its center on a sufficiently rough surface. Find the value of friction acting on the hollow sphere.




1792.

if moment of inertia of a disc is I. if we rake only 1/4th of the disc keeping axis same, then its moment of inerrtia will have what valu

Answer» if moment of inertia of a disc is I. if we rake only 1/4th of the disc keeping axis same, then its moment of inerrtia will have what valu
1793.

Two identical cells of the same emf and sameinternal resistance give the same currentthrough an external resistance of 22,regardless of whether they are connected inseries or parallel. The internal resistance of thecell is :

Answer» Two identical cells of the same emf and same
internal resistance give the same current
through an external resistance of 22,
regardless of whether they are connected in
series or parallel. The internal resistance of the
cell is :
1794.

A board is balanced on a rough horizontal semicircular log. Equilibrium is obtained with the help of addition of a weight on the board, when the board makes an angle θ with the horizontal. Coefficient of friction between the log and the board is:

Answer»

A board is balanced on a rough horizontal semicircular log. Equilibrium is obtained with the help of addition of a weight on the board, when the board makes an angle θ with the horizontal. Coefficient of friction between the log and the board is:

1795.

A projectile is fired with some velocity making certain angle with the horizontal. Which of the following graphs is the best representation for the kinetic energy of a projectile (KE) versus its horizontal displacement (x)?

Answer»

A projectile is fired with some velocity making certain angle with the horizontal. Which of the following graphs is the best representation for the kinetic energy of a projectile (KE) versus its horizontal displacement (x)?

1796.

A cylindrical block of wood of mass 2 kg is floating in water with its axis vertical. It is depressed by a distance x and net force on it is given by F=kx. Then, value of k in N/m is [Use π=227]

Answer» A cylindrical block of wood of mass 2 kg is floating in water with its axis vertical. It is depressed by a distance x and net force on it is given by F=kx. Then, value of k in N/m is
[Use π=227]

1797.

A constant force F acts tangentially at the highest point of a uniform disc of mass m kept on a rough horizontal surface as shown in figure. If the disc rolls without slipping, calculate the acceleration of the centre C and points A and B on the disc.

Answer»

A constant force F acts tangentially at the highest point of a uniform disc of mass m kept on a rough horizontal surface as shown in figure. If the disc rolls without slipping, calculate the acceleration of the centre C and points A and B on the disc.


1798.

Using differentials, find the approximate value of the following up to 3 places of decimal. √0.6

Answer»

Using differentials, find the approximate value of the following up to 3 places of decimal.
0.6

1799.

Using a pinhole camera, the image of the following tree is captured.How will the image look?

Answer»

Using a pinhole camera, the image of the following tree is captured.



How will the image look?



1800.

Consider the circuit shown in the figure below:Both the transistors Q1 and Q2 are matched with β=50. The value of VBE=0.7V, the value of current I0 is equal to ______mA. 0.241

Answer» Consider the circuit shown in the figure below:



Both the transistors Q1 and Q2 are matched with β=50. The value of VBE=0.7V, the value of current I0 is equal to ______mA.


  1. 0.241