Q. A metallic wire of 1 m length has a mass of $10\times {10}^{-2}$ kg. If a tension of 100 N is applied to a wire, what is the speed of transverse wave?

1. 31.6 $m{s}^{-1}$
2. 10 $m{s}^{-1}$
3. 0.1 $m{s}^{-1}$
4. 200 $m{s}^{-1}$

Q. Which of the following is not a vector quantity?

1. Nuclear spin
2. Weight
3. Momentum
4. Potential energy

Q. A train is approaching towards a platform with a speed of 10 $m{s}^{-1}$ while blowing a whistle of frequency $340Hz$. What is the frequency of whistle heard by a stationary observer on the platform?
Given speed of sound = 340 $m{s}^{-1}$.

1. $330Hz$
2. $340Hz$
3. $360Hz$
4. $350Hz$

Q. A body starts from rest and moves with constant acceleration for $tsec$. It travels a distance $x_1$ in first half of time and $x_2$ in next half of time, then

1. $x_2=x_1$
2. $x_2=3x_1$
3. $x_2=2x_1$
4. $x_2=4x_1$

Q. What is a period of revolution of earth satellite? Ignore the height of satellite above the surface of earth.
Given : (1) The value of gravitational acceleration $g=10m{s}^{-2}$.
(2) Radius of earth $R_E=6400$ km. Take $\pi =3.14$.

1. 85 minutes
2. 83.73 minutes
3. 90 minutes
4. 156 minutes

Q. A car moves from A to B with a speed of $30kmph$ and from B to A with a speed of $20kmph$. What is the average speed of the car?

1. $25kmph$
2. $50kmph$
3. $10kmph$
4. $24kmph$

Q. What is the source temperature of the Carnot engine required to get 70% efficiency?
Given sink temperature = ${27}^{o}C$

1. ${1000}^{o}C$
2. ${90}^{o}C$
3. ${727}^{o}C$
4. ${270}^{o}C$

Q. A cycle tyre bursts suddenly. What is the type of this process?

1. Isothermal
2. Adiabatic
3. Isochoric
4. Isobaric

Q. An object is placed at 20 cm in front of a concave mirror produces three times magnified real image. What is focal length of the concave mirror?

1. 15 cm
2. 6.6 cm
3. 10 cm
4. 7.5 cm

Q. An aeroplane executes a horizontal loop at a speed of 720 kmph with its wings banked at ${45}^o$. What is the radius of the loop?
Take g = 10 $m{s}^{-2}$.

1. 4 km
2. 4.5 km
3. 7.2 km
4. 2 km

Q. The maximum kinetic energy of the photoelectrons depends only on

1. Potential
2. Frequency
3. Incident angle
4. Pressure

Q. A person is driving a vehicle at uniform speed of $5{ms}^{-1}$ on a level curved track of radius 5 m. The coefficient of static friction between tyres and road is 0.1. Will the person slip while taking the turn with the same speed ? Take g = $10{ms}^{-2}$.
Choose the correct statement.

1. A person will slip if $v^2>5{ms}^{-1}$
2. A person will slip if $v^2<5{ms}^{-1}$
3. A person will slip if $v^2=5{ms}^{-1}$
4. A person will slip if $v^2>10{ms}^{-1}$

Q. A fringe width of a certain interference pattern is $\beta =0.002$ cm. What is the distance of $5^{th}$ dark fringe from centre?

1. $1\times {10}^{-2}cm$
2. $11\times {10}^{-2}cm$
3. $1.1\times {10}^{-2}cm$
4. $3.28\times {10}^{6}cm$

Q. A force $\overrightarrow{F}=5\hat{i}+2\hat{j}-5\hat{k}$ acts on a particle whose position vector is $\overrightarrow{r}=\hat{i}-2\hat{j}+\hat{k}$. What is the torque about the origin?

1. $8\hat{i}+10\hat{j}+12\hat{k}$
2. $8\hat{i}+10\hat{j}-12\hat{k}$
3. $8\hat{i}-10\hat{j}-8\hat{k}$
4. $10\hat{i}-10\hat{j}-\hat{k}$

Q. A period of geostationary satellite is

1. 12 h
2. 30 h
3. 48 h
4. 24 h

Q. A rotating wheel changes angular speed from 1800 rpm to 3000 rpm in 20 s. What is the angular acceleration assuming to be uniform?

1. $90\pi$ rad $s^{-2}$
2. $2\pi$ rad $s^{-2}$
3. $60\pi$ rad $s^{-2}$
4. $40\pi$ rad $s^{-2}$

Q. What is the energy of the electron revolving in third orbit expressed in eV?

1. 1.51 eV
2. 3.4 eV
3. 4.53 eV
4. 4 eV

Q. Which of the following spectral series of hydrogen atom is lying in visible range of electromagnetic wave?

1. Pfund series
2. Paschen series
3. Balmer series
4. Lyman series

Q. A flow of liquid is streamline if the Reynold number is

1. Less than 1000
2. Greater than 1000
3. Between 2000 to 3000
4. Between 4000 to 5000

Q. A polarized light of intensity $I_o$ is passed through another polarizer whose pass axis makes an angle of ${60}^o$ with the pass axis of the former. What is the intensity of emergent polarized light from second polarizer?

1. $I=I_o$
2. $I=I_o/6$
3. $I=I_o/5$
4. $I=I_o/4$

Q. A microscope is having objective of focal length $1cm$ and eyepiece of focal length $6cm$. If tube length is $30cm$ and image is formed at the least distance of distinct vision, what is the magnification produced by the microscope? Take $D=25cm$.

1. $6$
2. $150$
3. $25$
4. $125$

Q. A 10 kg metal block is attached to a spring of spring constant $1000N{m}^{-1}$. A block is displaced from equilibrium position by 10 cm and released. The maximum acceleration of the block is

1. $10m{s}^{-2}$
2. $100m{s}^{-2}$
3. $200m{s}^{-2}$
4. $0.1m{s}^{-2}$

Q. A pipe of 30 cm long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a 1.1 kHz source?
Given speed of sound in air = 330 $m{s}^{-1}$.

1. Fifth harmonic
2. Fourth harmonic
3. Third harmonic
4. Second harmonic

Q. A focal length of a lens is 10 cm. What is power of a lens in dioptre?

1. 0.1 D
2. 10 D
3. 15 D
4. 20 D

Q. In anomalous expansion of water, at what temperature, the density of water is maximum?

1. $4^{o}C$
2. $<4^{o}C$
3. $>4^{o}C$
4. ${10}^{o}C$

Q. A body having a moment of inertia about its axis of rotation equal to 3 $kg-m^2$ is rotating with angular velocity of $3rad{s}^{-1}$. Kinetic energy of this rotating body is same as that of a body of mass $27kg$ moving with velocity $v$. The value of $v$ is

1. 1 $s^{-1}$
2. 2 $s^{-1}$
3. 0.5 $s^{-1}$
4. 1.5 $s^{-1}$

Q. A physical quantity $Q$ is found to depend on observables $x,y$ and $z$, obeying relation $Q=\frac{x^{2/5}{z}^3}{y}$. The percentage error in the measurements of $x,y$ and $z$ are $1\%$, $2\%$ and $4\%$ respectively. What is percentage error in the quantity $Q$ will be :

1. $5\%$
2. $4.5\%$
3. $7.75\%$
4. $11\%$

Q. What is the de Broglie wavelength of the electron accelerated through a potential difference of 100 Volt?

1. 12.27 $\mathring{A}$
2. 1.227 $\mathring{A}$
3. 0.1227 $\mathring{A}$
4. 0.001227 $\mathring{A}$

Q. A stone is thrown vertically at a speed of $30m{s}^{-1}$ making an angle of ${45}^o$ with the horizontal. What is the maximum height reached by the stone ? Take $g=10m{s}^{-2}$.

1. 22.5 m
2. 30 m
3. 15 m
4. 10 m

Q. Diameter of the objective of a telescope is 200 cm. What is the resolving power of a telescope? Take wavelength of light = 5000 $\mathring{A}$.

1. $3.28\times {10}^5$
2. $1\times {10}^6$
3. $6.56\times {10}^6$
4. $3.28\times {10}^6$