1.
Match Column-I with Column-II
Column-I
A. Coefficient of viscosity
B. Surface tension
C. Pressure
D. Surface energy
Column-II
I. $[ML^{-1}T^{-2}]$
II. $[ML^{2}T^{-2}]$
III. $[ML^{0}T^{-2}]$
IV. $[ML^{-1}T^{-1}]$
Choose the correct answer from the options given below:
Column-I
A. Coefficient of viscosity
B. Surface tension
C. Pressure
D. Surface energy
Column-II
I. $[ML^{-1}T^{-2}]$
II. $[ML^{2}T^{-2}]$
III. $[ML^{0}T^{-2}]$
IV. $[ML^{-1}T^{-1}]$
Choose the correct answer from the options given below:
2.
The driver of a three-wheeler moving with a speed of $36~km/h$ sees a child standing in the middle of the road and brings his vehicle to rest in 4.0 s just in time to save the child. What is the average retarding force on the vehicle? The mass of the three-wheeler is 400 kg and the mass of the driver is 65 kg:
3.
A uniform rod of length 5 L is bent at right angles keeping one side length as 2 L as shown in figure. The position of the centre of mass of the system: (Consider $L=10~cm$)
4.
A geyser heats water flowing at the rate of 3.0 litres per sec from $27^{\circ}C$ to $77^{\circ}C$. If the geyser operates on a gas burner, what is the rate of consumption of the fuel if its heat of combustion is $4.0\times10^{4}J/g$?
5.
Which of the following is correct?
6.
An organ pipe closed at one end resonates with a tuning fork of frequency 180 Hz. It will also resonate with tuning forks of frequencies:
7.
The magnitude and direction of current I (in A) indicated in the following circuit is:
8.
A long solenoid with 15 turns per cm has a small loop of area $2~cm^{2}$ placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 2A to 4A in 0.1 sec then find induced emf in loop:
9.
An element $\Delta\vec{l}=\Delta x\hat{i}$ is place at the origin and carries a large current $I=10A$. What is the magnitude of magnetic field on the y axis at a distance of 0.5 m. $\Delta x=1~cm$:
10.
In an inductor of self-inductance $L=4mH$ current changes with time according to relation $i=t^{4}e^{-t}$. At what time emf is zero :
11.
The magnetic field at the centre of a current carrying circular loop of radius R is $16\mu T$. The magnetic field at a distance $x=\sqrt{3}R$ on its axis from the centre is (in $\mu T$)
12.
A converging lens of focal length $f_{1}$ is placed coaxially in front of a convex mirror of focal length $2f_{2}$. Their separation is d. A parallel beam of light incident on the lens returns as a parallel beam from the arrangement:
13.
Three rods of length L and mass M are placed along X. Y and Z axes in such a way that one end of each rod is at the origin. The M.I. of system about Z-axis is:
14.
The height of water level in a tank is H. The range of water stream coming out of a hole at depth H/4 from upper water level will be:
15.
Four capacitors of each of capacity $3\mu F$ are connected as shown in the adjoining figure. The ratio of equivalent capacitance between A and B and between A and C will be :
16.
A semiconductor is known to have an electron concentration of $8\times10^{13}$ per $cm^{3}$ and hole concentration of $2\times10^{14}$ per $cm^{3}$. The semiconductor is:
17.
The two lines A and B shown in Figure are the graphs of the de Broglie wavelength $\lambda$ as a function of $1/\sqrt{V}$ (V is the accelerating potential) for two particles having the same charge. Which of the represents the particle of heavier mass:
18.
A uniform solid cylinder of mass M and radius R rotates about a frictionless horizontal axis. Two similar masses (m) are suspended with the help of two ropes wrapped around the cylinder. If the system is released from rest then the tension in each rope will be :
19.
The figure shows a graph between velocity and displacement (from mean position) of a particle performing SHM. Which of the following is incorrect:
20.
Consider the circuit diagram shown
Column-I
(i) $V_{A}-V_{B}$
(ii) $V_{C}$
(iii) Value of Q for which no energy is stored across capacitor
(iv) $V_{A}-V_{D}$
Column-II
(p) 2V
(q) 1.8V
(r) -4 V
(s) $14/3\Omega$
Now, match the given columns and select the correct option from the codes given below:
Column-I
(i) $V_{A}-V_{B}$
(ii) $V_{C}$
(iii) Value of Q for which no energy is stored across capacitor
(iv) $V_{A}-V_{D}$
Column-II
(p) 2V
(q) 1.8V
(r) -4 V
(s) $14/3\Omega$
Now, match the given columns and select the correct option from the codes given below:
21.
A square conducting loop of side L and resistance R is moving with a uniform velocity at right angles to one of the sides in its own plane. On applying a uniform magnetic field at right angles to its plane as shown in the figure the induced current in the loop will be:
22.
A plane electromagnetic wave of frequency 40 MHz travels in free space in the X-direction. At the some point and at some instant, the electric field E has its maximum value of 750 N/C in Y-direction. The wavelength of the wave is:
23.
Two photons each of 2.5 eV energy are incident on a metal surface of work function 4.5 eV then:
24.
The graph between $1/\lambda$ and stopping potential (V) of three metals having work functions $\phi_{1}$, $\phi_{2}$ and $\phi_{3}$ in an experiment of photoelectric effect is plotted as shown in the figure. Which of the following statement(s) is/are correct? [Here $\lambda$ is the wavelength of the incident ray]:
25.
The second line of Balmer series has wavelength $4861\mathring{A}$. The wavelength of the first line of Balmer series is:
26.
The maximum static frictional force is :
27.
In an elastic collision of two billiard balls during the short time of collision of the balls (i.e. when they are in contact):
28.
A weightless thread can bear tension upto 3.2 kg wt. A stone of mass 500 gms is tied to it and revolved in a circular path of radius 4 m in a horizontal plane. If $g=10~ms^{-2}$ then the maximum angular velocity of the stone will be.
29.
An infinitely long wire is kept along z-axis from $z=-\infty$ to $z=+\infty$ having uniform linear charge density $\frac{10}{9}\frac{nc}{m}$. The electric field at point (6 cm, 8 cm, 10 cm) will be:
30.
The current in a wire varies with time according to the equation $I=4+2t$, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time $t=2$ s to $t=6$ s is:
31.
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 4X against Y:
32.
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 3rd maximum from centre of screen is -
33.
Net gravitational field at the centre of a square is found to be $E_{1}$ when four particles having mass M, 2M, 3M and 4M are placed at the four corners of the square as shown in figure and it is $E_{2}$ when the positions of 3M and 4M are interchanged. The ratio $\frac{E_{1}}{E_{2}}$ is $\frac{\alpha}{\sqrt{5}}$. The value of $\alpha$ is ....
34.
What is the logic gate if input of output wave form shown in figure. A and B are input and Y is output then:
35.
The specific resistance ($\rho$) of a circular wire of radius (r) resistance (R) and length (l) is given by: $\rho=\frac{\pi r^{2}R}{l}$ given $r=(0.24\pm0.02)$ cm, $R=(30\pm1.0)~\Omega$, $l=(4.80\pm0.01)$ cm. The percentage error in ($\rho$) is nearly :
36.
A uniform rod of mass m, length L, area of cross-section A and Young Modulus Y hangs from the ceiling. Its elongation under its own weight will be:
37.
Assuming that the energy released by one U235 atom is 200 MeV, the number of fissions per second required to produce 100 watts power is:
38.
Two p-n junction diodes $D_{1}$ and $D_{2}$ are connected as shown in figure. A and B are input signals and C is the output. The given circuit will function as a ..
39.
If a planet revolves around the sun with time period $T_{1}$. If planet suddenly shrinks such that it radius becomes one fourth of present radius. Then it period of revolution a round the sun is $T_{2}$ :
40.
Distance between an object and three times magnified real image is 40 cm. The focal length of the mirror use is .........cm.
41.
For Young's double slit experiment, two statements are given below:
Statement I: If screen is moved away from the plane of slits, angular separation of the fringes remains constant.
Statement II: If the monochromatic source is replaced by another monochromatic source of larger wavelength, The angular separation of fringes decreases.
In the light of the above statements, choose the correct answer from the options given below:
Statement I: If screen is moved away from the plane of slits, angular separation of the fringes remains constant.
Statement II: If the monochromatic source is replaced by another monochromatic source of larger wavelength, The angular separation of fringes decreases.
In the light of the above statements, choose the correct answer from the options given below:
42.
Two bodies of mass m and 9m are placed at a distance R. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be (G = gravitational constant):
43.
A bullet is fired from a gun at the speed of $280~m~s^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is $(g=9.8~m~s^{-2}, \sin30^{\circ}=0.5)$:
44.
Match Column-I with Column-II
Column-I (Material)
A. Diamagnetic
B. Ferromagnetic
C. Paramagnetic
D. Non-magnetic
Column-II (Susceptibility $\chi$)
I. $\chi=0$
II. $0>\chi\ge-1$
III. $\chi>>1$
IV. $0<\chi<\epsilon$ (a small positive number)
Choose the correct answer from the options given below:
Column-I (Material)
A. Diamagnetic
B. Ferromagnetic
C. Paramagnetic
D. Non-magnetic
Column-II (Susceptibility $\chi$)
I. $\chi=0$
II. $0>\chi\ge-1$
III. $\chi>>1$
IV. $0<\chi<\epsilon$ (a small positive number)
Choose the correct answer from the options given below:
45.
The following graph represents the T-V curves of an ideal gas (where T is the temperature and V the volume) at three pressures $P_{1}$, $P_{2}$ and $P_{3}$ compared with those of Charles's law represented as dotted lines. Then the correct relation is