1.
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): $Fe^{56}$ nucleus is more stable than $U^{235}$ nucleus.
Reason (R): Binding energy of $Fe^{56}$ nucleus is more than the binding energy of $U^{235}.$
In the light of the above statements, choose the correct answer from the option given below.
Assertion (A): $Fe^{56}$ nucleus is more stable than $U^{235}$ nucleus.
Reason (R): Binding energy of $Fe^{56}$ nucleus is more than the binding energy of $U^{235}.$
In the light of the above statements, choose the correct answer from the option given below.
2.
In a reverse biased diode when the applied voltage changes by 5 V, the current found to change by $2~\mu A$. The reverse bias resistance of the diode is:
3.
Following observations were taken with a vernier calliper while measuring the length of a cylinder: 3.29 cm, 3.28 cm, 3.29 cm, 3.31 cm, 3.28 cm. The most accurate length of the cylinder will be
4.
1000 identical drops of mercury are charged to a potential of 1 V each. They coalesce to form a single drop, the potential of this new drop will be
5.
In the shown arrangement of a meter bridge, when $R_{1}$ and $R_{2}$ are connected, null deflection is obtained at 40 cm from point A. If $R_{2}$ is replaced by another resistance $2R_{2}$ then the null deflection would be obtained at:
6.
A point charge is placed at origin. Assuming potential to be zero at infinity, potential difference at two point A and B is found to be 10 V i.e. $V_{A}-V_{B} = 10~V.$ Now if the reference at infinity is changed to 10 V, then $V_{A}-V_{B}$ will be:
7.
The equivalent inductance between point A and B as shown in figure is:
8.
Equation of SHM of a particle whose amplitude is 0.1 m and frequency is 25 Hz with an initial phase of $\frac{\pi}{4}$ radians is:
9.
The graph between charge of a capacitor and its potential is:
10.
Two sources are said to be coherent if they:
11.
The resistivity of a metal decreases when :
12.
Consider the given statements and choose the correct option:
Statement A: Dimensions of a physical quantity are the powers to which the base quantities are raised to express that quantity.
Statement B: Mean absolute error has the units and dimensions of the quantity itself whereas fractional of relative error is unitless and dimensionless.
Statement A: Dimensions of a physical quantity are the powers to which the base quantities are raised to express that quantity.
Statement B: Mean absolute error has the units and dimensions of the quantity itself whereas fractional of relative error is unitless and dimensionless.
13.
If a body is projected horizontally from the top of a high tower with speed $30~m/s,$ then after 3 seconds the angle made by velocity vector from vertical is:
14.
Consider the P-V diagram for an ideal gas as shown in figure. Choose the correct T-P diagram for the given P-V curve.
15.
The electric field of an electromagnetic wave in free space is given by $\overline{E}=5\cos(10^{5}t+kx)\hat{k}V/m$ where t in second and x in metre then:
16.
Two particles carrying charges 1µC and 2µC separated by a distance 'd' apply force F on each other. If charges on each particles are double, then force applied by the charge particles on each other becomes:
17.
Match column I (certain parameters) with column II (formula)
Column I
A. Torque ( $\tau$ ) on a body
B. Rotational kinetic energy
C. Moment of inertia of rod about perpendicular axis through center
D. Angular momentum
Column II
i. $I\alpha$
ii. $\frac{1}{12}ML^{2}$
iii. $I\omega$
iv. $\frac{1}{2}I\omega^{2}$
Column I
A. Torque ( $\tau$ ) on a body
B. Rotational kinetic energy
C. Moment of inertia of rod about perpendicular axis through center
D. Angular momentum
Column II
i. $I\alpha$
ii. $\frac{1}{12}ML^{2}$
iii. $I\omega$
iv. $\frac{1}{2}I\omega^{2}$
18.
The restoring couple in the moving coil galvanometer is due to:
19.
Two coherent sources are 0.3 mm apart. They are 1 m away from the screen. The second dark fringe is at a distance of 0.3 cm from the centre. Distance of fourth bright fringe from the centre is:
20.
Two thin lenses of power 10 D and 5 D are placed coaxially in contact. The focal length of the combination of lenses will be:
21.
Consider an inextensible string and massless pulley as shown. If this system is placed in a lift moving upwards with acceleration g, then the tension in the string is:
22.
Two vectors $\overline{A}$ and $\overline{B}$ have equal magnitudes. If magnitude of $\overline{A}+\overline{B}$ is equal to two times the magnitude of $\overline{A}-\overline{B}$ then the angle between $\overline{A}$ and $\overline{B}$ will be:
23.
A particle is moving in a circle of radius r centered at O with constant speed v. The change in velocity in moving from A to B :
24.
In the following circuit, the current flowing through $1k\Omega$ resistor is:
25.
The cylindrical tube of a spray pump has radius R, one end of which has 2n fine holes, each of radius $\frac{r}{2}$. If the speed of the liquid in the tube is V, the speed of the ejection of the liquid through the holes is :
26.
A proton accelerated through a potential V has de-broglie wavelength $\lambda$. Then, the de-broglie wavelength of an $\alpha$-particle, when accelerated throuhg the potential $\frac{V}{8}$ :
27.
A particle starting from rest accelerating uniformly has velocity v at time $t_1$. What is work done in time t?
28.
The depth at which the value of acceleration due to gravity becomes 1/n time the value at the surface is:
29.
If the equation of a progressive wave is given as $y=a\sin\pi[\frac{t}{2}-\frac{x}{4}]$ where x is in metres and t is in seconds, then the distance through which the waves moves in 8 sec is:
30.
Find the dimension of $\epsilon_{0}\frac{d\phi_{E}}{dt}$
31.
A particle falling from rest from a great height in vacuum covers 35m in a particular second how much will it travel in next second. $[g=10m/s^{2}]$
32.
In an adiabatic change, the pressure and temperature of a monatomic gas are related with relation $P\propto T^{C}$ where, C is equal to:
33.
A rod of length 10 cm lies along the principal axis of a concave mirror of focal lenght 10 cm in such a way that its end closer to the pole is 20 cm away from the mirror. Length of image is:
34.
A long cylindrical metallic wire of length L, cross sectional area A and Young's modulus Y contains an ideal gas at pressure P and temperature T. The wire is constrained such that it can expand only along its length (area remains constant). The temperature of the gas is slowly increased from T to 2T. What is the increase in length $\Delta L$ of the wire
35.
In a series LCR circuit the frequency of a 10 V AC voltage source is adjusted in such a fashion that the reactance of the inductor measures $15\Omega$ and that of the capacitor $11\Omega$. If $R=3\Omega$ the potential difference across the series combination of L and C will be:
36.
Two discs one of density $7.2~g/cm^{3}$ and the other of density $8.9~g/cm^{3},$ are of same mass and thickness. Their moments of inertia are in the ratio:
37.
A filament bulb (500 W, 100 V) is to be used in a 230 V main supply. When a resistance R is connected in series, it works perfectly and the bulb consumes 500 W. The value of R is:
38.
The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are: (velocity of sound $=340~m/s)$
39.
A large tank is filled water $(density=10^{3}kg/m^{3})$. A small hole is made at a depth 10m below water surface. The range of water draining out of the hole is R on ground. What extra pressure must be applied on the water surface, so that the range becomes 2R: (use $1~atm=10^{5}Pa$ and $g=10m/s^{2})$
40.
An ideal transformer has a primary power input of 10kW. The secondary current when the transformer is on load is 25 A. If the primary, secondary turns ration is 8: 1, then the potential difference applied to the primary coil is:
41.
If R is the horizontal range for a projection angle and h is the maximum height reached by the projectile, then the maximum range for this speed is given by:
42.
In a hydrogen like ion, an electron is excited from the second orbit $(n=2)$ to the third orbit $(n=3)$. If the energy required for this transition is E, then the energy required to excite the electron from the first orbit $(n=1)$ to the second orbit $(n=2)$ is:
43.
A ferromagnetic material obeys the Curie-Weiss law. At temperature $T_{1}=400~K,$ its magnetic susceptibility $\chi_{1}=0.02.$ If the Curie temperature $T_{c}=300~K$ find the susceptibility $\chi_{2}$ at $T_{2}=350~K.$
44.
In the following there are two column A and B in coloumn A there are some physical events and in coloumn B formula related to them:
Match the coloumn A and B:
Coloumn A
A. The force between charge capacitor plates
B. Average internal energy of a diatomic gas molecule at temperature T
C. Magnetic field due to a moving charge
Coloumn B
i. $\frac{5}{2}RT$
ii. $\frac{1}{2}\epsilon_{0}AE^{2}$
iii. $\frac{5}{2}KT$
iv. $\frac{1}{2}\epsilon_{0}E^{2}$
v. $\propto qv$
vi. $\propto qv^{2}$
Match the coloumn A and B:
Coloumn A
A. The force between charge capacitor plates
B. Average internal energy of a diatomic gas molecule at temperature T
C. Magnetic field due to a moving charge
Coloumn B
i. $\frac{5}{2}RT$
ii. $\frac{1}{2}\epsilon_{0}AE^{2}$
iii. $\frac{5}{2}KT$
iv. $\frac{1}{2}\epsilon_{0}E^{2}$
v. $\propto qv$
vi. $\propto qv^{2}$
45.
Radiation of wavelength 280 nm is used in an experimenta of photoelectric effect with cathode of work function, 2.5 eV. The maximum kinetic energy of the photoelectrons is $[Take~h=6.62\times10^{-34}Js~and~c=3\times10^{8}ms^{-1}]$: