3 men and 4 women can complete a work in 10 days by working 12 hours a day. 13 men and 24 women can do the same work by working same hours a day in 2 days. How much time would 12 men and 1 women working same hours a day will take to complete the whole work?
600 men can make a road in 500 days. They start working together but after every hundred days, 50 men leave the work. Find the total time (in days) it takes to make the road.
A shopkeeper sells an article at the price of Rs 1140 and incurs a loss of 5% on it. For him to gain a profit of 5% on the same article, at what price should the article be sold?
Barack spends Rs 6650 to buy some goods and gets a rebate of 6% on it. After this, he pays a sales tax of 10%. What is his total expenditure?
For a shirt cost price = 400Rs. Shopkeeper prints a tag on it with Markup% = 20% to earn a profit of 7.5%. How much profit shopkeeper earns?
For a shirt cost price = 400Rs. Shopkeeper prints a tag on it with Markup% = 20% to earn a profit of 7.5%. What is marked price
When a ray of light passes through the first principal focus of a convex lens:
What is the minimum energy required to convert a ground-state 1H^1 atom into an H^- ion?
The self inductance of the coil depends on ___________.
When an object is placed between the pole point and focal point of a concave mirror, the nature of the image and the Cartesian sign conventions used are ____________.
What is the minimum energy required to convert a ground-state
A100 mH inductor is connected to a 157 V, 50 Hz AC source. The peak current of the circuit is ______.
In a vacuum, two point charges with magnitudes of +1.8 nC and –1.8 nC are separated by 6 mm along the x-axis. At the halfway point of the separation distance, the electric field is ______.
The relation
The torque experienced is __________.
Answer the following.
Light with an energy flux of 500 kW/m2 falls for 5 minutes at normal incidence on a non-reflecting circular surface with a radius of 10 cm.
Find the value of ‘X’ and ‘h’ in the following diagram.
In an excited hydrogen atom, what is the wavelength of the spectral line emitted by an electron that jumps from an ‘O’ orbital to ‘L’ orbital?
Answer the following
Which of the following statements is correct?
Arrange the following in the ascending order of their wavelength.
What is the resulting equation when Kirchhoff’s loop law is applied to the following closed-loop ADEFA?
If a current of 18.2 Ampere per second flows through a copper conductor and the average collision time of electrons is 0.25 μs, then the value of conductivity of the copper conductor is _________.
Solve the problem
A 220 V, 50 Hz ac source is connected in series to a 30 Q resistor, an inductor, and a capacitor, each having 200 Q inductive reactance and 160 Q capacitive reactance, respectively.
Which of the following statements is/are correct?
The EMF of the batteries with internal resistance is connected in the circuit shown below. The equivalent EMF and internal resistance of the circuit between terminal ‘AB’ are equal to
An external energy is used to excite an electron in the K shell of a hydrogen atom to the M shell. The angular momentum of the electron in the new shell after excitation is _________.
In the Rydberg formula for the spectrum of the hydrogen atom, the wavenumber is _________.
the wavelength of refracted light is
Rapid electron acceleration and deceleration in a conducting wire can generate ___________ with frequencies ranging from ___________.
Which of the following statement(s) is/are NOT correct?
When the EMF of two cells is compared in a potentiometer experiment, the ratio of balancing length is obtained as 2 : 5. If one of the cells has an EMF of 1.2 V, the other cell’s EMF is ________.
Which of the following diagram represent the semiconductor behaviour?
Which of the following is the best phasor diagram representing the phase relationship between current and voltage in an alternating current source connected to a capacitor?
The electric flux passing through a surface of area A=8j\[m^2\] in an electric field vector E=2i+3j-4kV/m (bold is for vectors) is :
The half life of a radioactive substance is 10 years and its initial mass is 1 g. The remaining amount after 20 years is _____.
For a 100 ohm resistor connected to a 220 V, 50 Hz AC supply, the net power consumed over a full cycle is:
An electron beam with cross-section area \[1.0mm^2\] has 6x\[10^{-19}\] electrons(q=1.6x\{10^{-19}\]C)passing per second perpendicular to any section. The current density (ampere per \[meter^2\] ) in the beam is :
In the hydrogen atom, transition takes place from n=3 to n=2 orbit. The wavelength of the emitted radiation lies in the ______ region.
The magnitude of magnetic force per unit length (N/m) on a wire carrying a current of 8 A and making an angle of 30° with the direction of a uniform magnetic field of 0.15 T is:
The electric field of a plane electromagnetic wave oscillates sinusoidally with a frequency of \[2.0×2^{10}Hz\] and an amplitude of \[60Vm^2\] . The wavelength (in cm) of the wave is \[(c=3×10^8\] \[ms^-1\]:
A parallel plate capacitor has a capacitance of ‘C’. If the distance between the plates is reduced by half and the space between the plates is filled with a medium having dielectric constant 6, the new capacitance is:
The resistivity of a current-carrying conducting wire is p. If the wire is doubled in length and its area of cross-section is reduced by half, the new resistivity is:
The coordinates of the point that divides the join of (5,6) and (-3,6) in the ratio 3:5 are :
An unbiased p-n junction has holes diffusing from p-region to the n-region because:
When the length of microscope tube is increased, its magnifying power :
Consider gamma rays, X-rays and UV rays travelling in a vacuum. All of these are traveling with _______.
Capacitors connected in series behave like:
A 100 W light bulb is able to convert 10% of its power to visible radiation. The average intensity of the visible radiation at a distance of 1 m from the bulb is:
The charge carriers in a p-type semiconductor are:
Consider a conductor of metal with non-uniform cross-section. The parameter that is constant is:
The ratio of the volume of an atom to the volume of the nucleus is (in terms of order of magnitude):
The instrument that is based on the principle that when an electric current flows in a coil placed in a magnetic field, a deflecting torque acts upon the coil is:
The frequency of the electromagnetic wave produced by an oscillating charge particle (oscillating with frequency ν) is:
The radius of the innermost orbit of hydrogen atom is \(5.3×10^{-11}\m) . The radii of n=2 orbit is:
A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each. The diameter of the solenoid is 1.8 cm. If the current carried is 8.0 A, the magnitude of the magnetic field inside the solenoid (near the centre) is:
The source of energy in stars is:
Electric conduction in a semiconductor takes place due to :
Isotopes have the same number of :
A radioactive nucleus emits 3 alpha particles and 2 positrons. For the resultant nucleus, the ratio of neutrons to protons is (consider the initial nucleus to have atomic number Z and atomic mass A):
A straight wire carries a current from north to south. The direction of the magnetic field at a point east of the wire will be:
The energy required to build up a current (I) in a coil of self-inductance (L) is :
A current of 4.0 A is maintained in a coil of self-inductance 8.0 mH. The energy stored in the coil is :
According to Bohr model, the energy of the emitted photon due to transition from 3rd excited state to ground state is
A series LCR circuit \(R=30 \, \Omega\),\(9X_{L}\)=\(40\, \Omega\), \(X_{C}\)=\(80\, \Omega\) is connected to an AC source of 200V and 50 Hz. The power dissipated in the circuit is:
Consider an electron moving in orbit n=2 in Bohr model of hydrogen atom. The magnitude of magnetic dipole moment associated with this electron is close to
In an LC circuit, the values of L and Care \(5.0×10^{-2}\)H and \(5.0×10^{-6}\) F, respectively. At t=0 all of the energy is stored in the capacitor. Then the angular frequency of the LC oscillations jn the circuit ( in radians/s) is :
Consider a circuit with Resistance, Inductor and Capacitor connected in series. The phase difference between the current and the alternating voltage (at resonance) is :
Consider the solar system as a large atom. The quantum number (n) that characterizes Earth’s orbit \(radius=1.5×10^{11}\m) with Earth moving ata an orbital speed of \(3×10^4\m/s) is (mass of Earth is \(6×10^{24}\kg) :
Two resistors \(R_1\) and \(R_2\) have their resistance values in the ratio of 3:5. When they are combined in series, their equivalent resistance is \(24 \, \Omega\) .
Two charges, A(-0.114nC) and B(0.256nC) , are located at ( -16cm, 0cm ) and (0 cm, 12 cm), respectively. The magnitude of electric field at point (-16cm , 12 cm) due to these two charges is close to :
In a Young’s double slit experience, slit width is d and light of wavelength \(\lambda\) is used to observe interference pattern at a screen placed at a distance D from the plane of the slits. The fringe width is given by :
Which of the following electromagnetic waves/rays has minimum wavelength?
Zener diode is a______doped PN junction diode and connected in_______bias in the circuit.
Packing fraction and binding energy both decide the stability. Which of the following statements supports it?
Consider two cells of emf \(e_1\) and \(e_2\) with internal resistances \(r_1\) and \(r_2\) , respectively. The two cells are connected in parallel by connecting their positive terminals together and connecting their negative terminals together.
Consider a solenoid of 5.0 cm length and radius 0.40 cm. It consists of 500 turns of wire and carries a current of 3.0 A.
the distance of its closest approach is close to :
A current element of length 0.8 cm carrying a current of 5 A towards direction is placed symmetrically at the origin along the x-axis. The magnetic field at a point (0, 5 cm) is:
If the radioactive decay constant of a radioactive substance is 0.00693 per year, what is the half-life of the substance? (In 2=0.693)
Rutherford scattering proved the :
A pure Si crystal has \(6×10^{28}\) atoms \(m^{-3}\). It is doped by 1 ppm concentration of pentavalent As. Then the number of electrons and holes are : (Given that \(n_i\)=\(1.5×10^{16}\)\(m^{-3}\))
If the function f is differentiable at and is one-one in some neighbourhood of c, g is inverse function of f, then g'{f(c)} is: is:
Which of the following relations is true?
An object that is 3.0 cm in height is placed at a distance of 9.0 cm in front of a convex mirror of focal length 18.0 cm. Following New Cartesian Sign Convention, the image is formed at v _______ and its height \(h_1\) _______.
If two identical coherent waves of intensity I undergo constructive interference at a point, the resultant intensity at this point will be:
Two spherical mirrors, mirror A concave and mirror B convex, are made out of the same spherical ball of glass of radius 20 cm.
The energy equivalent of mass associated with the rest mass of an electron is nearly:
Consider a potentiometer set-up where a cell of emf 2.25 V gives a balance point at 63.0 cm length of the wire.
The intercept of the y-axis for the graph between stopping potential versus frequency will give us:
The frequency of an electromagnetic (EM) wave is 6x\(10^{14}\) Hz . The wavelength of the EM wave is ______, and it falls in the range _______.
Consider an ideal toroid of average radius 16.0 cm with 240 turns. A current of 10 A is maintained in it. The magnitude of magnetic field inside the toroid is :
When Ge is doped with ______ a p-type semiconductor is formed.
Suppose every second \(10^6\) electrons come out of a body and move to another body, then the time is required to get a total charge of 3.2 C on the other body is:
Which of the following electromagnetic waves rays has the minimum frequency?
Two coils, A and B. are arranged parallel to each other. When the current hi coil A increases at the rate of 20 A s and current in coil B is 5A s. the induced emf in coil B is 60 mV.
Which of the following statements is/are correct about a p-n junction diode?
Consider two nuclei, A of mass number 27 and B of mass number 64. Considering them as liquid –drops, the ratio of their densities \(\frac{d_A}{d_B}\) will be :
A coil is carrying a current of 10 A and has radius 10 cm and number of turns 500. It is rewound to make a new coil of radius 5 cm and it carries same current 10 A.
A point source in air is placed at a distance of 40 cm in front of a spherical convex glass surface (n = 1.5) of radius of curvature 10 cm.
A copper wire of uniform area of cross-section \(3.4×10^{-5} m^2\) carries a current of 4.0 A.
A series LCR curcuit with \(R=10\Omega\), \(X_L=30\Omega\) and \(X_C=24\Omega\) is connected to a 220 V, 50 Hz AC source.
A potentiometer wire of length 100 cm has a resistance of 30 ohms. It is connected in series with a resistance of 20 ohms and an accumulator of emf 10 V having negligible internal resistance.
The ratio of the longest wavelength to the shortest wavelength [\(\frac{\lambda_L}{\lambda_S}\)] in Brackett series of hydrogen spectrum is:
A 2.0 m long metallic rod is rotated with an angular frequency of rad/s about and axis normal to the rod and passing through its one end.
An object is placed on the axis of a concave mirror at a point beyond center of curvature. Its image formed by the mirror is :
Three resister \(R_1, R_2\) and \(R_3\) have their resistance values in the ratio of 2:3:4.
The total decay rate R of a sample is related to the decay rate \(R_0\) at t=0 and the disintegration constant or decay constant \(\lambda\) as:
The equivalent emf of this combination is
The radian equivalent of \(150^\circ\) is _________.
An EM wave has energy of the order of 20 eV. Which part of the EM wave spectrum does it belong to?
Consider the mass of iron nucleus as 55.85 u and A=56. Then the nuclear density is:
In a single slit diffraction experiment, light of wavelength 600 nm is used and the first minimum is observed at an angle of \(30^\circ\). The width of the slit is:
A 3.0 cm segment of a wire, centred at the origin(0,0,0) lies along Y-axis. It carries a current of 6.0 A in positive Y- direction.
The number of tums in the primary and the secondary coils of a transform are 800 and 24000 respectively. If the current in the secondary is 6.0 A the current is the primary is:
An object that is 2.0 fm in height is placed at a distance of 24.0 cm in front of a concave mirror of focal length 16.0 cm. Following New Cartesian Sign Commotion the image is format at v is___ and its height hi is_____.
Which of the following statements is/are correct for a a-p-n junction diode?
Rutherford scattering experiment is based on:
Suppose that an alpha particle of 3.20 Me V approaches head – on a lead mulens (z – 82).
An object is placed on the axis of a concave mirror at a point near its pole. Its image formed by the mirror is
The capacitance of the capacitor in now:
Suppose a uniform electric field is given as
A battery with an internal resistance of \(2\Omega\) and an emf of 4.0 V is connected in series to a load resistance and the terminal voltage falls to 3.8 V.
A battery of EMF 6.0 V and internal resistance \(1.0\Omega\) is connected to a resistor of \(11\Omega\) the terminal potential difference for the battery is:
T be equivalent emf of this combination is:
Consider two coaxial cylinders of same length L. with vacuum inside them. The raddi of the inner so solenoid are r1 and r2 (> r1), respectively.
Suppose to obtain a diffraction pattern one student uses a violet coloured beam of light, If the student replaces violet light by green light them
A circular coil of radius 0.50 m and 100 tums. Carrying a current of 80 mA. S placed such that the normal to its plane makes an angle of with a uniform magnetic field of 4.0 T.
The magnetic field in a plane electromagnetic wave is given by B_y= 0.2 μT sin (8π×\(10^2z\)+6π×\(10^{11}t\)). Then the electric field of the wave is:
The ratio of the longest wavelength to the shortest wavelength (\(\frac{λ_L}{λ_S}\)) in paschen series of hy
Let N and N0 be the number of radioactive nuclei in a sample at time t and at time t = 0, respectively (\(\frac{N}{N_0}\))is equal to ______ where \(\lambda\) is the disintegration constant or decay constant.
A charge Q1 of 3.0 \(\mu C\) is placed at point (36 cm. 0) and another charge Q2 of 9.0\(\mu C\) is placed at a point (0.-27cm.) let I and j be the unit vectors in x – and y- directions, respectively. The excerted by Q2. on Q1 is :e
When Si is doped with ______ an n- type semiconductor is formed.
The total energy released if 47 g \(of^ {235}\) U undergoes fission (disintegration energy per event, Q = 200 MeV, Avogadro’s mumber = \(6.02*10^{23}\) nuclei mol) is close to:
Consider two wires, AB and CD, of lengths 2L and L and radiusr and 2, respectively. AB and CD are made of material of resistivity \(\rho\) and \(2\rho\) , respectively.
A square sheet of side 5.0 cm is placed in an electric field \(E=(1.6*10^4\frac{N}{G})\) such that the normal unit vector for the sheet is [\((\frac{\sqrt{3}}{2})i-(\frac{1}{2})j\)]. The electric flux through the sheet is
A parallel plate capacitor with circular plates of radius 1 m has a capacitance of 1 nF At t = = 0, it is c charging in series with a resistor \(R = 1 M\Omega\) across a 2 v battery.
In a single slit defection experiment, a light of wavelength 500 m is used and the second angle of \(45^\circ\) The width of the slit is
find resultant velocity and angle to the direction of the first velocity?
A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively,
If a moving point possess simultaneously velocities which are represented in magnitude and direction by the ___________ of a parallelogram drawn from a point,
Determine the plane’s mass? (Take air density = \(1kg/m^3)\)
What is the rms value of conduction current?
A little candle, 4.5 cm in size is located at 30 cm in front of a concave mirror of radius of curvature 42 cm.
Which of the following is NOT the characteristic of electromagnetic waves?
An object is placed in front of a concave mirror of radius of curvature 15 cm at:
What is the relevant equation If object is at origin and velocity is \(v_0 = i+ j\)
Which of the following statement is CORRECT regarding the locus of point on this plane where the potential has a value zero,
A circular coil of wire consisting of 500 turns, each of radius 6.0 cm carries a current of 0.30 A. Find the magnitude of the magnetic field B at the center of the coil?
Which of the following physical quantities belongs to dimension \(MLT^{-2}A^{-2}\)?
The wire has a charge per unit length of and the cylinder has net charge per unit length of \(2 \lambda\)?
calculate the coefficient of viscosity of the liquid. \((g = 10 N kg^{-1})\)
____________ use radio waves to transmit voice communication in the ultrahigh frequency band.
A hydraulic lift is used to raise a car of mass 2000 kg. The area of cross section of piston on which the car is placed is \(375 cm^2\).
A radio can tune in to any station in the 6 MHz to 10 MHz band. Find the corresponding wavelength band?
Which of the following statements is INCORRECT for heat?
What is the period of revolution T of charge -\(q_1\) if a particle of mass m carrying a charge \(q_1\) starts moving around a fixed charge +\(q_2\) along a circular path of radius?
Find the focal length of a convex lens of focal length 50 cm in contact with a concave lens of focal length 40 cm? Also find the correct lens system?
Find the change of velocity?
A cage in a mine-shaft descends with 2ft/sec units of acceleration. After it has been in motion for 10 seconds a particle is dropped on it from the top of the shaft. What time elapses before the cage?
Calculate the force necessary to keep the door close?
A magnetron in a microwave oven releases electromagnetic waves with \(\int=1980MHz\).
Which of the following is the correct is the correct expression for cyclotron frequency?
In a chamber, a uniform magnetic field of 4.5 G \((1G = 10^{-4}T)\) is maintained. An electron is shot into the field with a speed of \(4.8 * 10^6\) 106 m/s normal to the field.
Two capillaries whose diameters are respectively 9.0 mm and 8.0 mm, stand one by one in water. If water rises to a height 4.5 mm in the first capillary,
The rear side of a truck is open and a box of 30 kg mass is placed 4.5 m away from form the open end as given in diagram. The coefficient of friction between the box and the surface below it is 0.20.
Two-point charges of \(2.6 * 10^{-19}C\) and \(-2.6 * 10^{-19}C\) are separated from each other by \(1.8 * 10^{-10}m\).
A 60 kg man stands in contact against the inner wall of a hollow cylindrical drum of redius 4m rotating about its vertical axis with 180 rev./min. The coefficient of friction between the wall and his clothing is 0.20.
Which of the following pair is INCORRECT for some transparent media with respect to air? (Mayconsider the most approximate value)
About 10% of the power of a 100 W light bulb is converted to visible radiation. What is the average intensity of visible radiation?
Calculate the specific heat of the metal?
An object of size 2 cm is placed 18 cm in front of concave lens of focal length 27 cm. Find the height of the image produced by the lens?
Calculate the speed of the electromagnetic wave in a dedium if the amplitude of electric and magnetic fields are \(2.4 * 10^2 NC^{-1}\) and \(4 * 10^{-3}T\), respectively?
A circular coil of 50 turns and radius 10 cm carrying a current of 5.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T.
Let the electric field amplitude of an electromagnetic wave is \(E_0=90N/C\) and that its frequency is V = 50.0 MHz. find B0, k, and \(\lambda\)?
When a 3 µC of charge is carried from point A to point B, the amount of work done by electric field is \(75\mu J\). Determine the potential difference?
Compute the cartesian components of the electric field at the point if the potential at any point is given by \(V=x(y^2-4×2)\)?
Which of the following is the correct expression for maximum possible speed of a car on a banked road?
The amplitude of the magnetic field part of a harmonic electromagnetic wave in vaccum is \(B_0\)= 480 nT. Find the amplitude of the electric field part of the wave?
What is the largest average velocity of blood flow in an artery of radius \(2 * 10^{-3}\) if the flow must remain laminar? Also determine the corresponding flow rate?
