1.
Which one of the following is not true:
2.
In an inelastic collision of two billiard balls during the short time of collision of the balls (i.e. when they are in contact):
3.
Three different springs are connected to a block of mass M placed on a frictionless surface as shown in fig, If the springs have a spring constant 2k, 3k and 4k then the frequency of oscillation of the block is :
4.
Two tuning forks have frequencies 450 Hz and 454 Hz respectively. On sounding these forks together, the time interval between successive maximum intensities will be :
5.
Assertion: The maximum charge that can be given to a conductor of fixed volume depends on its shape.
Reason: If the electric field near the conductor is sufficient for dielectric breakdown of air, no more charge can be transferred to it.
Reason: If the electric field near the conductor is sufficient for dielectric breakdown of air, no more charge can be transferred to it.
6.
The electric field due to an electric dipole at the axis of the dipole is:
7.
In a meter bridge experiment null point is obtained at 20 cm from one end of wire when resistance X is balanced against another resistance Y. If Y > X then where will be the new position of null point from the same end if one decides to balance a resistance of 6X against Y:
8.
Electric field lines provide information about:
9.
A metallic wire is folded to form a square loop of side a. It carries a current 'i' and is kept perpendicular to a uniform field. If the shape of loop is changed from square to a circle without changing the length of the wire and current the amount of work done in doing so is:
10.
An equiconvex lens of focal length 15 cm is cut into two halves as shown in figure. What is the focal length of each part:
11.
An astronomical telescope having magnifying power of 5 consists of two thin lenses 24 cm apart. Find the focal length of the lenses:
12.
In Young's double slits experiment carried out with light of wavelength $5000\mathring{A}$, the distance between the slits is 0.2mm and the screen is at 2 meter from the slits. Position of $4^{th}$ maximum from centre of screen is -
13.
In photo electric experiment Stopping potential:
14.
The electrical conductivity of a semiconductor increases when electromagnetic radiation of wavelength shorter than 2480 nm is incident on it. The band gap (in eV) for the semiconductor is:
15.
The velocity of a freely body changes as $g^{p}h^{q}$, where g is acceleration due to gravity and h is the height. The values of p and q are :
16.
A block is lying static on the floor. The maximum value of static friction force on the block is 10 N. If a horizontal force of 8 N is applied to the block, what will be the friction force on the block:
17.
Which of the following liquid is most viscos:
18.
If a metallic sphere gets cooled from $62^{\circ}C$ to $50^{\circ}C$ in 10 minutes and in the next 10 minutes gets cooled to $42^{\circ}C$ then the temperature of the surroundings is:
19.
Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section $5~mm^{2}$, is v. If the electron density in copper is $9\times10^{28}/m^{3}.$ The value of v in $mm/s$ is close to (Take charge of electron to be $=1.6\times10^{-19}C)$
20.
Among the following properties describing diamanetism indentify the property that is wrongly stated
21.
Figure shows a plot of the potential energy as a function of x for a particle moving along the x axis:
Which of the following statements is/are true?
22.
An atom X is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 protons and 9 neutrons. The percentage growth in the surface area of the nucleons is recorded by:
23.
A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is:
24.
If force (F) work (W) and velocity (v) are taken as fundamental quantities, the dimensional formula of time (T) is:
25.
The adjoining four fig. show some velocity (v) versus time (t) curves. But only some of these can be realised in parctice. These are:
26.
A weightless thread can bear tension upto 0.7 kg wt. A stone of mass 500 gms is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If $g=10~ms^{-2}$, then the angular velocity of the stone will be.
27.
Water rices in a capillary tube kept vertically on surface of earth, to a height h. Choose the false statement regarding a capillary rise from the following:
28.
Determine the elongation of the steel bar 1m long and $1.5~cm^{2}$ cross-sectional area when subjected to a pull of $1.5\times10^{4}N$ (Take $Y=2.0\times10^{11}N/m^{2})$
29.
Magnetic field at point 'P' due to given current distribution is :
30.
A rigid spherical body is spinning around an axis without any external torque. Due to change in temperature, the volume of the spherical body increases by 1%. Its angular speed :
31.
A solid hemisphere and a hemispherical shell are joined as shown Both of them has $m/2$ individually. Find out moment of inertia about axis AB.
32.
A container is filled with an ideal gas at initial pressure 1 atm. Some gas is removed, and the pressure becomes 0.6 atm. Temperature and volume remain constant. What fraction of the initial mass remains?
33.
Assertion: Increasing the charge on the plates of a capacitor means increasing the capacitance.
Reason: Capacitance is directly proportional to charge.
Reason: Capacitance is directly proportional to charge.
34.
In the given circuit. find maximum power consumed by the variable load resistance $R_{L}$
35.
A magnet of magnetic moment 50 $\hat{i}$ A-m² is placed along the x-axis in a magnetic field $\vec{B}=(0.5\hat{i}+3.0\hat{j})$ T. The torque acting on the magnet is:
36.
The ratio of initial to final current through the battery when the switch is closed in the figure is:
37.
The value of current in the adjoining diagram will be:
38.
Graphs between the pressure P and the speed v of sound in a gas are shown in figure. The correct graph is
39.
A plane source emits sound in a non-absorbing medium. Two points P and Q are at distance of 3 m and 2 m respectively from the source. The ratio of the intensities of the waves at P and Q is:
40.
Select the output Y of the combination of gates shown below for inputs $A=1,$ $B=0,$ $A=1;$ $B=1$ and $A=0,$ $B=0$ respectively:
41.
The resultant of $\vec{A}$ and $\vec{B}$ makes an angle $\alpha$ with $\vec{A}$ and $\beta$ with $\vec{B}$:
42.
Find the de-Broglie wavelength of an electron with kinetic energy of 120 eV
43.
Angular momentum of an electron in hydrogen atom is $\frac{3h}{2\pi}$ approx: Wavelength of this electron is
44.
An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a photoesnsitive material having work function 2.75 eV. If the stopping potential of the photoelectron is 10 eV, then the value of n is:
45.
The co-ordinate of a moving particle at any time t are given by $x=\alpha~t^{3}$ and $y=\beta~t^{3}$ the speed of the particle at time t is given by: