Previous Year Questions
57 questions — organised by subject with solutions and explanations.
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Which of the following statements is false ?[Main 2017]
The mass density of a spherical body is given by for and for ,where r is the distance from the centre.The correct graph that describes qualitatively the acceleration, a, of a test particle as a functi
In an experiment to determine the period of a simple pendulum of length 1 m, it isattached to different spherical bobs of radii and . The two spherical bobs haveuniform mass distribution. If the relat
A potentiometer PQ is set up to compare two resistances as shown in the figure. The ammeter A in the circuit reads 1.0 A when two way key is open. The balance point is at a length cm from P when two w
When a current of 5 mA is passed through a galvanometer having a coil of resistance 15 Ω, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to conve
Four closed surfaces and corresponding charge distributions are shown below.Let the respective electric fluxes throughthe surfaces be and Φ4. Then :[Main 9 April 2017]
A man grows into a giant such that his linear dimensions increase by a factor of 9. Assumingthat his density remains same, the stress in the leg will change by a factor of :[Main 2017]
and are specific heats at constant pressure and constant volume respectively. It is observed that for hydrogen gas for nitrogen gasThe correct relation between a and b is :[Main 2017]
An external pressure P is applied on a cube at 0°C so that it is equally compressed from all sides.K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Suppo
There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region,is found to vary between the limits 589.0 V to 589.8 V. What is the po
If the Earth has no rotational motion, the weight of a person on the equator is W.Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will we
A body of mass kg is moving in a medium and experiences a frictional force . Its initial speed is . If, after 10 s, its energy is , the value of k will be:-[Main 2017]
In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the f
A 9 V battery with internal resistance of 0.5 Ω is connected across an infinite network as shown in the figure. All ammeters and voltmeter V are ideal.Choose correct statement.[Main 8 April 2017]
A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be :[Main 2017]
A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically ab
The machine as shown has 2 rods of length 1 m connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls a
A block of mass kg is connected to an elastic spring of spring constant and oscillates in a damping medium of damping constant . The system dissipates its energy gradually. The time taken for its mech
The variation of acceleration due to gravity g with distance d from centre of the earth is bestrepresented by (R = Earth's radius):[Main 2017]
An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure and at constant volume is :[Main 8 April 2017]
Two tubes of radii and , and lengths and respectively, are connected in series and a liquid flows through each of them in streamline conditions. and are pressure differences across the two tubes.If is
The temperature of an open room of volume increase from 17°C to 27°C due to sunshine.The atmospheric pressure in the room remains Pa.If and are the number of molecules in the room before and after hea
A physical quantity P is described by the relation If the relative errors in the measurement of a,b,c and d respectively, are and , then the relative error in P If the relative errors in the measureme
The following observations were taken for determining surface tensiton T of water bycapillary method : Diameter of capillary, rise of water, Using g = 9.80 m/s2 and the simplified relation N/m, the po
In the above circuit the current in each resistance is :[Main 2017]
A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by ∆T. The net change in its length is zero. Let l be the
In a meter bridge experiment resistances are connected as shown in the figure.Initially resistance and the neutral point N is at 60 cm from A. Now an unknown resistance R is connected in series to P a
Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be :[Main 8 April 2017]
A car is standing 200 m behind a bus,which is also at rest.The two start moving at the same instant but with different forward accelerations.The bus has acceleration and the car has acceleration .The
An object is dropped from a height h from the ground. Everytime it hits the ground it loses 50% of its kinetic energy. The total distance covered as is :[Main 8 April 2017]
A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system i
A body is thrown vertically upwards. Which one of the following graphs correctly representthe velocity vs time?[Main 2017]
The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10 .At, the displacement is 5 m. What is the maximum acceleration ? The initial phase is [Main 8 April 2017]
A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by .What is the speed of the travelling wave moving in the positive
A uniform disc of radius R and mass M is free to rotate only about its axis. A string is wrapped over its rim and a body of mass m is tied to the free end of the string as shown in the figure. The bod
A steel rail of length 5 m and area of cross section is prevented from expanding along its length while the temperature rises by 10 ° C. If coefficient of linear expansion and Young’s modulus of steel
An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz. What is the frequency of the microwave measured by the observer?(speed of l
An engine operates by taking n moles of an ideal gas through the cycle ABCDA shown in figure. The thermal efficiency of the engine is : (Take R, where R is gas constant)[Main 8 April 2017]
A conical pendulum of length 1 m makes an angle θ=45° w.r.t. Z-axis and moves in a circle in the XY plane. The radius of the circle is 0.4 m and its center is vertically below O. The speed of the pend
In the given circuit diagram when the current reaches steady state in the circuit,the charge on the capacitor of capacitance C will be :[Main 2017]
A uniform wire of length l and radius r has a resistance of 100 Ω. It is recast into a wire of radius .The resistance of new wire will be :[Main 9 April 2017]
Moment of inertia of an equilateral triangular lamina ABC, about the axis passing through its centre O and perpendicular to its plane is as shown in the figure. A cavity DEF is cut out from the lamina
In an experiment a sphere of aluminium of mass 0.20 kg is heated upto 150°C. Immediately, it is put into water of volume 150 cc at 27°C kept in a calorimeter of water equivalent to 0.025 kg. Final tem
A circular hole of radius is made in a thin uniform disc having mass M and radius R, as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the po
Two particles A and B of equal mass M are moving with the same speed v as shown in the figure. They collide completely in elastically and move as a single particle C. The angle θ that the path of C ma
A particle is executing simple harmonic motion with a time period T. AT time t = 0, it is at its position of equilibrium. The kinetic energy-time graph of the particle will look like[Main 2017]
Two wires and have the same radius r and respective densities and such that .They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under
A combination of parallel plate capacitors is maintained at a certain potentialdifference.When a 3 mm thick slab is introducedbetween all the plates, in order to maintain the same potential difference
Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?[Main 8 April 2017]
N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomi
The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the configurations I, II and III are and respectively, then :[Main 9 April 2017]
The moment of inertia of a uniform cylinder of length l and radius R about its perpendicularbisector is I. What is the ratio l/R such that the moment of inertia is minimum ?[Main 2017]
The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 µC charge, its radius will be: [Take: ][Main 8 April 2017]
An electric dipole has a fixed dipole moment ,which makes angle θ with respect to x-axis.when subjected to an electric field ,it experiences a torque ,When subjected to another electric field it exper
A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an 8 kg block placed on
For the P-V diagram given for an ideal gas out of the following which one correctly represents the T-P diagram ?[Main 9 April 2017]
A capacitance of 2µF is required in an electrical circuit across a potential difference of 1.0 kV.A large number of 1µF capacitors are available which can withstand a potential difference of not more