A metallic shell has a charge q distributed over its surface and a large uncharged conducting plate is placed to the right side of the shell. Which diagram represents the electric lines of force correctly ?
Determine the magnitude of the force required such that the block moves with uniform motion on a rough fixed horizontal surface as shown –
Consider a uniform rod of mass M and length L and an impulse J imparted to it at the position 'P' shown. What would be its angular velocity ?
A particle of mass m is taken through the gravitational field produced by a point source S through two different paths I and II from point P to Q. If the work done along the paths I and II are WI and WII respectively then choose the correct option if the source is not equidistant from points P and Q.
The radius of a circle is 2.12 × 10-2 m. The area enclosed by the circle is
The temperature (T) versus time (t) graph for two bodies X, Y with equal surface area is given. If the emissivity and the absorptivity of x and y are Ex, Ey and ax, ay respectively. Then
The percentage strain versus load curve is given for a wire of cross-sectional area 10-8 m2. The wire is fixed at one end from a rigid support and a weight W is hanging from its other end. Find the Young’s modulus of the wire
In the diagram EC and FB are the two rays parallel to the mirror principal axis. Find the condition on q for which constructive interference at point B occurs between the ray ECB and incident ray FB, given AB = d?
Three rods of aluminium, copper and steel have coefficient of linear expansion α1, α2, α3.When their temperature is raised by t°C the length of each rod increases by the same amount. Then L1 + L2 + L3 is proportional to
A concave lens of focal length 20cm forms the image of an object which is placed at infinity. The size of image formed is 1cm. If a convex lens of focal length 10cm is placed 10cm from the concave lens. Find the new image size ?
A nucleus with mass number 220 initially at rest emits an a-particle.If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of the a-particle :
The electric potential between a proton and an electron is given as U = , where e is a constant. If the Bohr's atomic model is applicable then the Bohr's radius (rn) and principal quantum number n are related as –
According to the Bohr’s model determine the radius of the first orbit of muon-proton system, if muon is 207 times heavier than electron –
When an AC source E = E0 sin is used.The phase difference between the current and emf is π/3. The circuit consists only of RC, RL or LC series. Choose the correct pair -
A negatively charged particle is moving in a plane along a circular path in presence of an external magnetic field. Now suddenly an electric field is switched on such that the charged particle begins to move along a helical path with its axis parallel to the positive Y axis. Which one of these combinations is possible ?
Which circuit is correct verification of ohm's law ?
An ideal gas undergoes a cyclic process as shown in VT diagram, where the process CA is adiabatic. The process can also be represented by PT diagram as –
Two trains A & B are approaching each other with equal speeds of 130 m/s and sounding horns of frequency 120 Hz and 100 Hz respectively. A man standing in between the two trains starts running towards the train that is sounding horn at 100 Hz frequency with speed V. If he does not observes any beats then find V in m/s ? Vsound = 330 m/s
The mass number of an atom P is 240 and that of another atom Q is 80. If the radii of atom P is r then find the radii of atom Q ?
For a particle executing SHM, the displacement is given by x = A sinwt The curve which shows variation of potential energy with time and kinetic energy with displacement are respectively.
The resonance column method is used to calculate the speed of sound in air. The end correction for the tube is 2 cm. The 0.5 m of the air column resonates in third harmonic. If the length is changed such that the same tuning fork now resonates with fourth overtone, determine the new length
A particle is projected under gravity at some angle from the horizontal other than 90°. Its angular momentum remains constant about the –
A conducting current carrying loop is placed in x-y plane. If a non-uniform magnetic field (where B0 is a constant) begins to act. The loop will tend to move
A circular loop of radius 'a' and a square loop of side 'a' carrying equal currents i are oriented as shown in a region of uniform magnetic field directed outwards and perpendicular to the area enclosed by the loops. Arrange these in increasing order of potential energy ?
(II) (III) (IV)
2Kg ice at –10°C , 1 Kg of ice at 0°C and 8.5 Kg of water at 20°C are mixed together. Then final amount of ice remaining is - [Given specific heat of ice = 0.5 cal/g°C, Specific heat of water = 1 cal/g°C, Latent heat of fusion of ice = 80 cal/g]
In the shown arrangement of the experiment of the meter bridge if AC corresponds to null deflection of galvanometer and its value is X. Now when a resistor 'R' is added between E and A, let X' ie AC' be new null deflection then...
A power source has two terminals A & B , . A circular loop having resistance R is connected with the terminals of power source as shown. Arrange them in increasing order of power dissipation –
A nucleus of mass number 264 is at rest initially and emits two α-particles as shown. If Q value of reaction is 9 Mev. Calculate the total kinetic energy of the a particles released.
Consider a body, shown in figure, consisting of two identical balls, each of mass M connected by a light rigid rod. If an impulse J = MV is imparted to the body at one of its ends. What would be its angular velocity ?
The edge of a cube is a = 1.2 × 10–2 m. Then its volume will be recorded as :
In the adjacent diagram, CP represents a wavelength and AO and BP, the corresponding two rays. Find the condition on q for constructive interference at P between the ray BP and reflected ray OP. (Given PR = d)
Two rods, one of aluminium and the other made of steel, having initial length λ1 and λ2 are connected together to form a single rod of length λ1 + λ2. The coefficients of linear expansion for aluminium and steel are αa and αs respectively. If the length of each rod increases by the same amount when their temperature are raised by toC, then find the ratio
The size of the image of an object, which is at infinity, as formed by a convex lens of focal length 30 cm is 2 cm. If a concave lens of focal length 20 cm is placed between the convex lens and the image at a distance of 26 cm from the convex lens, calculate the new size of the image
A ray of light (GH) is incident on the glass-water interface DC at an angle 'i'. It emerges in air along the water-air interface EF (see figure). If the refractive index of water µw is 4/3, the refractive index of glass µg is:
The electric potential between a proton and an electron is given by V =V0 λn , where r0 is a constant. Assuming Bohr’s model to be applicable, write variation of rn with n, n being the principal quantum number ?
If the atom follows the Bohr model and the radius of is n times the Bohr radius, then find n
When an AC source of emf E = E0 sin (100 t) is connected across a circuit, the phase difference between the emf E and the current I in the circuit is observed to be π\4 as shown in the diagram. If the circuit consists possibly only of R-C or R-L or L-C series, find the relationship between the two elements.
For a positively charged particle moving in a x-y plane initially along the x-axis, there is a sudden change in its path due to the presence of electric and/or magnetic fields beyond P. The curved path is shown in the x-y plane and is found to be non-circular.Which one of the following combinations is possible.
An ideal gas under goes a cyclic process as shown in the given PT diagram, where the process AC is adiabatic. The process is also represented by :
A police car moving at 22 m/s, chases a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observe any beats.
For uranium nucleus how does its mass vary with volume?
A particle is in uniform circular motion in a horizontal plane. Its angular momentum is constant when the origin is taken at :
2 kg ice at - 20 ºC is mixed with 5 kg water at 20 ºC . Then final amount of water in the mixture would be : [Given : specific heat of ice = 0.5 cal/g ºC, specific heat of water = 1 cal/g ºC, latent heat of fusion of ice = 80 cal/gm]
In the shown arrangement of the experiment of the meter bridge if the length AC corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire AB is doubled ?
The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation :