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11051.

Theposition of a particle is given byWheretis in seconds and thecoefficients have the proper units for rto be in metres.(a) Find the vand aof the particle?(b) What is themagnitude and direction of velocity of the particle at t= 2.0 s?

Answer»

The
position of a particle is given by



Where
t
is in seconds and the
coefficients have the proper units for
r
to be in metres.



(a) Find the v
and a
of the particle?



(b) What is the
magnitude and direction of velocity of the particle at
t
= 2.0 s?

11052.

A ray of light travelling in air have wavelength λ, frequency n and velocity v. If this ray enters into water then these parameters are λ′,n′ and v′ respectively. Which of the following relation is correct?

Answer»

A ray of light travelling in air have wavelength λ, frequency n and velocity v. If this ray enters into water then these parameters are λ,n and v respectively. Which of the following relation is correct?

11053.

A wire of resistance x ohm is drawn out, so thatits length is increased to twice its original length,and its new resistance becomes 20 Ω then x will be(1) 5 Ω (3) 15 Ω (2) 10 Ω (4) 20 Ω

Answer» A wire of resistance x ohm is drawn out, so thatits length is increased to twice its original length,and its new resistance becomes 20 Ω then x will be(1) 5 Ω (3) 15 Ω (2) 10 Ω (4) 20 Ω
11054.

A projectile is thrown with speed 40/s at an angle theta from horizontal. It is found that projectile is at same height at 1s and 3s. What is the angle of projection?

Answer» A projectile is thrown with speed 40/s at an angle theta from horizontal. It is found that projectile is at same height at 1s and 3s. What is the angle of projection?
11055.

what is polarizability ??

Answer» what is polarizability ??
11056.

A stone of mass 1 kg is tied with a string, and it is whirled in a vertical circle of radius 1 m. If tension at the highest point is 14 N, then velocity at the lowest point will be(Take value of g=10 m/s2)

Answer»

A stone of mass 1 kg is tied with a string, and it is whirled in a vertical circle of radius 1 m. If tension at the highest point is 14 N, then velocity at the lowest point will be

(Take value of g=10 m/s2)

11057.

35. Figure shows the displacemnt of a particle going along the X-axis as a function of time. The force acting on the particle is zero in which region

Answer» 35. Figure shows the displacemnt of a particle going along the X-axis as a function of time. The force acting on the particle is zero in which region
11058.

Is kinetic energy directly proportional to intertia or inversely in both conditions first when angular momentum is conserved second when not conserved

Answer» Is kinetic energy directly proportional to intertia or inversely in both conditions first when angular momentum is conserved second when not conserved
11059.

Rain is falling vertically with a speed of 12√3 m/s. A woman rides a bicycle with a speed of 12 m/s in East to West direction. What is the velocity of rain relative to the woman? (<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->Eastward and upward are positive x-axis and y-axis respectively)

Answer»

Rain is falling vertically with a speed of 123 m/s. A woman rides a bicycle with a speed of 12 m/s in East to West direction. What is the velocity of rain relative to the woman? (
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

Eastward and upward are positive x-axis and y-axis respectively)

11060.

Five homogeneous bricks, each of length L=9 m are arranged as shown in the figure. Each of the bricks is displaced with respect to the next one in contact by L6 as shown in the figure below. Find the x− coordinate of the centre of mass relative to origin O.

Answer»

Five homogeneous bricks, each of length L=9 m are arranged as shown in the figure. Each of the bricks is displaced with respect to the next one in contact by L6 as shown in the figure below. Find the x coordinate of the centre of mass relative to origin O.


11061.

a uniform disk turns at 2.4rev/s around a frictionless axis.a non rotating rod ,of the same mass as the disk and length equal to disk's diameter is dropped onto the freely spinning disk.they then both turn around the axis with their centres superposed .what will be the angular frequency of the combination when they start rotating together.

Answer» a uniform disk turns at 2.4rev/s around a frictionless axis.a non rotating rod ,of the same mass as the disk and length equal to disk's diameter is dropped onto the freely spinning disk.they then both turn around the axis with their centres superposed .what will be the angular frequency of the combination when they start rotating together.
11062.

Establish a relation between range and height

Answer» Establish a relation between range and height
11063.

an isolated conducting sheet of area A is placed in a uniform electric field E , such that the electric field is perpendicular to the sheet and covers all the sheet. find out the charges appearing on its two surfaces

Answer» an isolated conducting sheet of area A is placed in a uniform electric field E , such that the electric field is perpendicular to the sheet and covers all the sheet. find out the charges appearing on its two surfaces
11064.

In the figure shown below, all the op amps are ideal, The output voltage V0 is __ V.-17

Answer» In the figure shown below, all the op amps are ideal,



The output voltage V0 is __ V.
  1. -17
11065.

A ship is streaming towards east with a speed of 8m/s.A women runs across the deck at a speed of 6m/s towards north what is the velocity of the women relative to a man sit s at the DECK.

Answer» A ship is streaming towards east with a speed of 8m/s.A women runs across the deck at a speed of 6m/s towards north what is the velocity of the women relative to a man sit s at the DECK.
11066.

Howmuch electricity in terms of Faraday is required to produce(i) 20.0 g of Ca from molten CaCl2.(ii) 40.0 g of Al from molten Al2O3.

Answer»

How
much electricity in terms of Faraday is required to produce


(i)
20.0 g of Ca from molten CaCl2.


(ii)
40.0 g of Al from molten Al2O3.

11067.

The volume charge density as a function of distance x from one face inside a unit cube is varying as shown in the figure. Then the total flux (in S.I. units) through the cube if (ρ0=8.85×10−12 Cm−3) is x8. Find the value of x (integer only)

Answer» The volume charge density as a function of distance x from one face inside a unit cube is varying as shown in the figure. Then the total flux (in S.I. units) through the cube if (ρ0=8.85×1012 Cm3) is x8. Find the value of x (integer only)






11068.

A photoelectric cell is illuminated by a lamp kept at distance d and now if the distance is reduced to d/2, number of electrons ejected per second will be

Answer» A photoelectric cell is illuminated by a lamp kept at distance d and now if the distance is reduced to d/2, number of electrons ejected per second will be
11069.

9.What is the reason that when we give charge to some conductor then it spreads on its surface but not in its inner area

Answer» 9.What is the reason that when we give charge to some conductor then it spreads on its surface but not in its inner area
11070.

(a) Twoinsulated charged copper spheres A and B have their centers separatedby a distance of 50 cm. What is the mutual force of electrostaticrepulsion if the charge on each is 6.5 × 10−7C? The radii of A and B are negligible compared to the distance ofseparation.(b) What isthe force of repulsion if each sphere is charged double the aboveamount, and the distance between them is halved?

Answer»


(a) Two
insulated charged copper spheres A and B have their centers separated
by a distance of 50 cm. What is the mutual force of electrostatic
repulsion if the charge on each is 6.5 × 10−7
C? The radii of A and B are negligible compared to the distance of
separation.




(b) What is
the force of repulsion if each sphere is charged double the above
amount, and the distance between them is halved?

11071.

The diagram shows the velocity against time graph for the motion of a body along a straight path. What is its displacement in the first 5 s?

Answer»

The diagram shows the velocity against time graph for the motion of a body along a straight path. What is its displacement in the first 5 s?


11072.

A parallel beam of light consisting of two wavelengths λ1=4000 A∘ and λ2=8000 A∘ is incident perpendicular to plane of both slits in a typical young's double slit experiment. The separation between both slits is d=2 mm and the distance between slits and screen is D=1 m. In each situation of column-I a point ′p′ on screen is specified by its distance ′l′ from central bright on screen. Match the proper entries from column-II to column-I. Column-I Column-II (P) At p such that l=0.(1) Intensity is maximum for λ1=4000 A∘(Q) At p such that l=0.1 mm.(2) Intensity is minimum for λ1=4000 A∘(R) At p such that l=0.2 mm.(3) Intensity is maximum for λ2=8000 A∘(S) At p such that l=0.4 mm.(4) Intensity is minimum for λ2=8000 A∘

Answer»

A parallel beam of light consisting of two wavelengths λ1=4000 A and λ2=8000 A is incident perpendicular to plane of both slits in a typical young's double slit experiment. The separation between both slits is d=2 mm and the distance between slits and screen is D=1 m. In each situation of column-I a point p on screen is specified by its distance l from central bright on screen. Match the proper entries from column-II to column-I.



Column-I
Column-II























(P) At p such that l=0.(1) Intensity is maximum for λ1=4000 A
(Q) At p such that l=0.1 mm.(2) Intensity is minimum for λ1=4000 A
(R) At p such that l=0.2 mm.(3) Intensity is maximum for λ2=8000 A
(S) At p such that l=0.4 mm.(4) Intensity is minimum for λ2=8000 A


11073.

Choose the correct option for the given vector?

Answer»

Choose the correct option for the given vector?




11074.

Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emfof 200 V induced, give an estimate of the self-inductance of the circuit.

Answer» Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emfof 200 V induced, give an estimate of the self-inductance of the circuit.
11075.

four tuning forks of frequencies 200 ,201,204 and 206 Hz are sounded together the beat frequency will be

Answer» four tuning forks of frequencies 200 ,201,204 and 206 Hz are sounded together the beat frequency will be
11076.

2 kg of ice at −20∘C is mixed with 5 kg of water at 20∘C in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are 1 kcal/kg per∘C and 0.5 kcal/kg/∘C while the latent heat of fusion of ice is 80 kcal/kg.

Answer» 2 kg of ice at 20C is mixed with 5 kg of water at 20C in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are 1 kcal/kg perC and 0.5 kcal/kg/C while the latent heat of fusion of ice is 80 kcal/kg.
11077.

Find the derivative of x2cosπ4sinx.

Answer» Find the derivative of x2cosπ4sinx.
11078.

{}^{20}C_r={}^{20}C_{r-10},then {}^{18}C_{r }is equal to

Answer» {}^{20}C_r={}^{20}C_{r-10},then {}^{18}C_{r }is equal to
11079.

The rms speed of oxygen molecules in a gas is V. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the rms speed will become

Answer»

The rms speed of oxygen molecules in a gas is V. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the rms speed will become

11080.

calculate the magnifying power of a convex lens of focal length 2cm when the image is formed at the distinct vision .

Answer» calculate the magnifying power of a convex lens of focal length 2cm when the image is formed at the distinct vision .
11081.

Find the induced emf in the square frame as shown in the figure.

Answer»

Find the induced emf in the square frame as shown in the figure.




11082.

A conductor has a resistance 5Ω at 50∘C and 6Ω at 100∘C. Find its resistance at 0∘C.

Answer»

A conductor has a resistance 5Ω at 50C and 6Ω at 100C. Find its resistance at 0C.

11083.

Why only Group-13 and Group-15 elements are used to increase the conductance of semiconductors?

Answer» Why only Group-13 and Group-15 elements are used to increase the conductance of semiconductors?
11084.

A solid sphere of mass 1 kg and radius 10 cm rolls down an inclined plane of height 7 m. The velocity of its center as it reaches the ground level is

Answer»

A solid sphere of mass 1 kg and radius 10 cm rolls down an inclined plane of height 7 m. The velocity of its center as it reaches the ground level is

11085.

Obtainthe amount of necessaryto provide a radioactive source of 8.0 mCi strength. The half-life ofis5.3 years.

Answer»

Obtain
the amount of

necessary
to provide a radioactive source of 8.0 mCi strength. The half-life of
is
5.3 years.

11086.

A 50 Hz, 6-pole synchronous generator has 36 slots. It has a two winding with full-pitch coils of eight turns each. The flux per pole is 0.015Wb (Sinusoidally distributed). The induced emf when the coils are connected to form a 2-phase winding is _____V.436.84

Answer» A 50 Hz, 6-pole synchronous generator has 36 slots. It has a two winding with full-pitch coils of eight turns each. The flux per pole is 0.015Wb (Sinusoidally distributed). The induced emf when the coils are connected to form a 2-phase winding is _____V.
  1. 436.84
11087.

A pendulum clock that keeps correct time on the earth is taken to the moon it will run

Answer» A pendulum clock that keeps correct time on the earth is taken to the moon it will run
11088.

A circuit contains a battery, a capacitor, and a resistor as shown. The capacitor is initially uncharged, and the switch is closed at time t=0. When the charge on the capacitor is at 75% of its maximum possible value, what is the voltage drop across the resistor (in V) (integer only)

Answer» A circuit contains a battery, a capacitor, and a resistor as shown. The capacitor is initially uncharged, and the switch is closed at time t=0. When the charge on the capacitor is at 75% of its maximum possible value, what is the voltage drop across the resistor (in V) (integer only)




11089.

A long straight wire in the horizontal plane carries a current of 50 Ain north to south direction. Give the magnitude and direction of Bat a point 2.5 m east of the wire.

Answer» A long straight wire in the horizontal plane carries a current of 50 Ain north to south direction. Give the magnitude and direction of Bat a point 2.5 m east of the wire.
11090.

A capacitor is formed by two square metal plates of edge 1 m, separated by a distance 1 mm. Dielectrics of dielectric constant K1 and K2 are filled in the gap as shown in figure. The new capacitance is [ Take ln2=0.7 ]

Answer»

A capacitor is formed by two square metal plates of edge 1 m, separated by a distance 1 mm. Dielectrics of dielectric constant K1 and K2 are filled in the gap as shown in figure. The new capacitance is





[ Take ln2=0.7 ]

11091.

TWO ELECTRIC BULBS WHOSE RESISTANCE ARE IN RATIO 1:2 ARE CONNECTED IN SERIES TO A CONSTANT VOLTAGE SOURCE,THE POWER DISSIPATED ARE IN RATIO

Answer» TWO ELECTRIC BULBS WHOSE RESISTANCE ARE IN RATIO 1:2 ARE CONNECTED IN SERIES TO A CONSTANT VOLTAGE SOURCE,THE POWER DISSIPATED ARE IN RATIO
11092.

suppose the particle an electron projected horizontally with velocity v x = 2 into 10 to the power 6 metre per second if E between the plates separated by 0.5 cm is 9.1 into 10 to the power 2 Newton per coloumb where will the electrons strike the upper plate and here separation is given between the plates then how could we take the deflection and calculate where will it strike Is it like separation is twice the deflection length?

Answer» suppose the particle an electron projected horizontally with velocity v x = 2 into 10 to the power 6 metre per second if E between the plates separated by 0.5 cm is 9.1 into 10 to the power 2 Newton per coloumb where will the electrons strike the upper plate and here separation is given between the plates then how could we take the deflection and calculate where will it strike
Is it like separation is twice the deflection length?
11093.

Figure shows three identical springs A, B, C. when a 4 kg weight is hung on A, it descends by 1 cm. When a 6kg weight is hung on C, it will descend by

Answer»

Figure shows three identical springs A, B, C. when a 4 kg weight is hung on A, it descends by 1 cm. When a 6kg weight is hung on C, it will descend by




11094.

18. If Michael Jordan has a vertical leap of 1.29 m, then what is his takeoff speed and his hang time.

Answer» 18. If Michael Jordan has a vertical leap of 1.29 m, then what is his takeoff speed and his hang time.
11095.

Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to the equation I=im sin ωt where im=10 A and ω=100π rad s−1 . The maximum value of the emf induced in the second coil is

Answer»

Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to the equation I=im sin ωt where im=10 A and ω=100π rad s1 . The maximum value of the emf induced in the second coil is



11096.

A tree trunk of diameter 20 cm lies in a horizontal field. A lazy grasshopper wants to jump over the trunk.Find the minimum take-off speed of grasshopper that will suffice. ( air resistance is negligible )

Answer» A tree trunk of diameter 20 cm lies in a horizontal field. A lazy grasshopper wants to jump over the trunk.Find the minimum take-off speed of grasshopper that will suffice. ( air resistance is negligible )
11097.

what is an ideal solution

Answer»
what is an ideal solution
11098.

A charge 2×10^(-3) and mass 1 gm is projected from level ground woth a velocity 10 m/sec at an angle 37^° with horizontal along x direction.The electric potential in space V =3x+4y.What is the speed of charge when y coordinate is maximum

Answer» A charge 2×10^(-3) and mass 1 gm is projected from level ground woth a velocity 10 m/sec at an angle 37^° with horizontal along x direction.The electric potential in space V =3x+4y.What is the speed of charge when y coordinate is maximum
11099.

For an ideal gas, the slope of V−T graph during an adiabatic process is dVdT=−m at a point where volume and temperature are V0 and T0. Find the value of CP of the gas. It is given that m is a positive number.

Answer»

For an ideal gas, the slope of VT graph during an adiabatic process is dVdT=m at a point where volume and temperature are V0 and T0. Find the value of CP of the gas. It is given that m is a positive number.

11100.

Seven resistors are connected as shown in the diagram. The equivalent resistance in Ω of this network between A and B is:

Answer»

Seven resistors are connected as shown in the diagram.

The equivalent resistance in Ω of this network between A and B is: