1.
Determine the wavelength of electron with a velocity of $275~m/s.$
2.
Self induction of a solenoid is:
3.
A capacitor of capacitance 5µF is connected as shown in the figure. The internal resistance of the cell is 0.5 $\Omega$. The amount of charge on the capcitor plate is:
4.
Match the columns:
Column-I
i. Sun
ii. Nuclear reactors
iii. Total nuclear binding energy in a process is increased
iv. Total nuclear binding energy in a process is decreased
Column-II
p. Nuclear fission
q. Nuclear fusion
r. Energy is released
s. Energy is absorbed
Now, select the correct option from the codes given below:
Column-I
i. Sun
ii. Nuclear reactors
iii. Total nuclear binding energy in a process is increased
iv. Total nuclear binding energy in a process is decreased
Column-II
p. Nuclear fission
q. Nuclear fusion
r. Energy is released
s. Energy is absorbed
Now, select the correct option from the codes given below:
5.
A $\alpha$-particle moves with a speed of $6\times10^{5}m/sec$ in a perpendicular magnetic field of 0.2T. Then force experienced by $\alpha$-particle will be:
6.
Statement-I: In electromagnetic wave, electric field and magnetic field varies sinusoidally with the same frequency.
Statement-II: Both electric field and magnetic field vectors are perpendicular to the direction of propagation of electromagnetic wave.
Statement-II: Both electric field and magnetic field vectors are perpendicular to the direction of propagation of electromagnetic wave.
7.
A uniform wire of resistance R is stretched uniformly such that lenght becomes n times & then cut to form five identical wires. These wires are arranged as shown in the figure. The effective resistance between A & B will be:
8.
The height at which the acceleration due to gravity becomes $g/9$ (where $g=$ the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, is
9.
When the length of the vibrating segment of a sonometer wire is increased by 1%, the percentage change in its frequency is:
10.
In the circuit given the current through the zener diode is 10 mA find the value of $R_{1}$
11.
An object placed at 15 cm in front of a lens has an image at 30 cm behind the lens. What is the power of lens (in diopter):
12.
Statement-I: A negatively charged body means that the body has gained electrons while a positively charged body means the body has lost some of its electrons.
Statement-II: Charging process involves transfer of electrons mostly.
Statement-II: Charging process involves transfer of electrons mostly.
13.
If the length of a wire decrease by 1% on loading a 2 kg weight on it. Then the reciprocal of linear strain in wire will be:
14.
Density of water at $4^{\circ}C$ and $20^{\circ}C$ are $1000~kg/m^{3}$ and $998~kg/m^{3}$ respectively. The increase in internal energy of 4 kg of water when it is heated from $4^{\circ}C$ to $20^{\circ}C$ is J. (Specific heat capacity of water $=4200~J/kg^{\circ}C$ and 1 atmospheric pressure = $10^{5}$ Pa)
15.
Two moving coil galvanometers, $M_{1}$ and $M_{2}$ have the following particulars:
$R_{1}=10\Omega$, $N_{1}=30$
$A_{1}=3.6\times10^{-3}m^{2}$, $B_{1}=0.25T$
$R_{2}=14\Omega$, $N_{2}=42$
$A_{2}=1.8\times10^{-3}m^{2}$, $B_{2}=0.50T$
(The spring constant are identical for the two meter) The ratio of current sensitivity and voltage sensitivity of $M_{2}$ and $M_{1}$ is
$R_{1}=10\Omega$, $N_{1}=30$
$A_{1}=3.6\times10^{-3}m^{2}$, $B_{1}=0.25T$
$R_{2}=14\Omega$, $N_{2}=42$
$A_{2}=1.8\times10^{-3}m^{2}$, $B_{2}=0.50T$
(The spring constant are identical for the two meter) The ratio of current sensitivity and voltage sensitivity of $M_{2}$ and $M_{1}$ is
16.
The radius of gyration of a rotating body depends upon:
17.
Force required to move a mass of 1 kg at rest on a horizontal rough plane $(\mu=0.1$ and $g=9.8~m/s^{2})$ is
18.
A wheel is rotating about an axis through its centre at 720 rpm. It is acted on by a constant torque opposing its motion for 8 seconds to bring it to rest finally. The value of torque (in N-m) is :- (Given $I=\frac{24}{\pi}kg-m^{2}$)
19.
A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position. the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in seconds is:
20.
If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be
21.
A 60HP electric motor lifts an elevator having a maximum total load capacity of 2000kg. If the frictional force on the elevator is 4000N, the speed of the elevator at full load is close to: $(1~HP=746W, g=10ms^{-2})$
22.
Assertion: A parallel plate capacitor is connected across battery through a key. A dielectric slab of constant K is introduced between the plates. The energy which is stored becomes K times.
Reason: The surface density of charge on the plate remains constant or unchanged.
Reason: The surface density of charge on the plate remains constant or unchanged.
23.
In a given circuit as shown the two input waveform A and B are applied simultaneously. The resultant waveform Y is:
24.
Two balls are projected from a tower with same speed, one vertically upward and other vertically downward. If they take 3 and 2 seconds respectively to reach the ground. Find the height of tower (take $g=10~m/s^{2}$)
25.
In a region of space the electric field is given by $\vec{E}=8\hat{i}+4\hat{j}+3\hat{k}$. The electric flux through a surface of area of 100 units in $y-z$ plane is:
26.
Find the magnetic field at centre of a circular coil from shown figure; Radius of coil is r :
27.
Force acting on a particle is $(2\hat{i}+3\hat{j})$ N. Work done by this force is zero, when a particle is moved on the line $3y+kx=5.$ Here, value of k is:
28.
A capillary tube of radius R is immersed in water and water rises in to a height H. Mass of water in the capillary tube is M. If the radius of the tube is doubled, mass of water that will rise in the capillary tube will now be
29.
As shown in figure a metal rod makes contact with a parallel rail's & completes the circuit. The circuit area is perpendicular to magnetic field $B=1.0~T.$ If the resistance of total circuit is 2$\Omega$, the power needed to move the rod as indicated with a const., speed of $2~m/s$ will be :
30.
The potential energy of a 1 kg particle free to move along X-axis is given by $U(x)=(\frac{x^{4}}{4}-\frac{x^{2}}{2})J$. The total mechanical energy of the particle is 2 J. Then the maximum speed (in m/s) is:
31.
Find the reading of the ideal ammeter connected in the given circuit. Assume that the cells have negligible internal resistance.
32.
Statement - I: If the monochromatic source in young's double slit experiment is replaced by white light, then interference pattern will disappear.
Statement - II: If one of the two slit is closed in young's double slit experiment then interference pattern will disappear.
Statement - II: If one of the two slit is closed in young's double slit experiment then interference pattern will disappear.
33.
A beam of light converges at a point P now a lens is placed in the path of the convergent beam 15 cm from P. Now at what distance from P light rays will converge. If the lens is a convex lens of focal length 30 cm?
34.
Statement - I: The power rating of an elements used in AC circuit referes to its average power rating.
Statement - II: Power consumed in an AC circuit is never negative.
Statement - II: Power consumed in an AC circuit is never negative.
35.
A current of 2A, Passing through a conductor produces 80J of heat in 10 seconds. The resistance of the conductor in Ohm is:
36.
A brass boiler has a base area of 0.20 m² and thickness 1.09 cm. It boils water at the rate of 12 $kg/min$ when placed at a gas stove. Estimate the temperature of the part of the flame in contact with the boiler. Thermal conductivity of the brass $=109~Js^{-1}m^{-1}K^{-1}$ Heat of vaporisation of water $=2256\times10^{3}J/kg.$
37.
The momentum of an electron revolving in $n^{th}$ orbit is given by:
38.
In a photoelectric effect experiment, the maximum kinetic energy of emitted electrons is to be made n times. If iniitial incident frequency is $v_{1}$, and threshold frequency is $v_{0}.$ then the new incident frequency $v_{2}$ will be:
39.
Which of the following statements is correct about magnetic materials:
40.
A small spherical drop of radius $r=1$ mm falls through a viscous liquid. The viscosity of the liquid is $\eta=1$ Pa s and the density difference (sphere - liquid) is $\Delta\rho=1000kg/m^{3}$ Find the terminal velocity $v_{t}.$ $(g=10~m/s^{2})$
41.
10 kg of ice at $-10^{\circ}C$ is added to 100 kg of water to lower its temperature from $25^{\circ}C.$ Consider no heat exchange to surroundings. The decrement to the temperature of water is .... °C. (Specific latent heat of ice $=3.36\times10^{5}J/Kg$, Specific heat of ice $=2100\frac{J}{kg^{\circ}C}$, Specific heat of water $=4200\frac{J}{kg^{\circ}C})$
42.
A plane wavefront is incident at an angle of 37° with horizontal a boundry of refractive medium from air $\mu=1$ to a medium of refractive index $\mu=\frac{3}{2}$. Find the angle of reflected wavefront with horizontal:
43.
Rods x and y of equal dimensions but of different materials are joined as shown in figure. Temperature of end points A and F are maintained at $100^{\circ}C$ and $40^{\circ}C$ respectively. Given the thermal conductivity of rod x is three times of that of rod y, the temperature at junction points B and E are (close to):
44.
The charge stored by the capacitor C in the given circuit in the steady state is ......... $\mu C$.
45.
A block of mass 5 kg is moving on an inclined plane which makes an angle of $30^{\circ}$ with the horizontal. Friction coefficient between the block and inclined plane surface is $\frac{\sqrt{3}}{2}$ . The force to be applied on the block so that the block will move down without acceleration is ..... $N. (g=10~m/s^{2})$