Q. A black body at a temperature $T$ radiates energy at the rate of $EW{m}^{-2}$. If the temperature is decreased by $\left(T/2\right)$ the energy radiated will be:

1. $E/4$
2. $E/16$
3. $E/32$
4. $E/8$

Q. The direction of the force on a current carrying conductor held perpendicular to an uniform magnetic field is given by:

1. Fleming's right hand rule
2. Ampere's swimming rule
3. Fleming's left hand rule
4. Maxwell's right hand cork screw rule

Q. If $x=at+b{t}^2$ where $x$ is measured in $m$ and $t$ in $s$, then the dimension of $\left(b/a\right)$ is:

1. $\left[T^{-1}\right]$
2. $\left[T\right]$
3. $\left[L{T}^{-1}\right]$
4. $\left[L{T}^{-2}\right]$

Q. The ratio of speed of sound in Hydrogen to that in Oxygen at the same temperature is:

1. $1:4$
2. $1:1$
3. $4:1$
4. $16:1$

Q. When two light nuclei fuse to form a relatively heavier nucleus, the specific binding energy of the product nucleus is:

1. greater than that of the reacting nuclei
2. lower than that of the reacting nuclei
3. equal to that of the reacting nuclei
4. equal to exactly half of either of the reacting nuclei

Q. The output of NOT gate when its input is $0$:

1. is $1$
2. is $0$
3. can be $0$ or $1$
4. is $0$ and $1$

Q. A ring rolls down an inclined plane. The ratio of the rotational kinetic energy to translational kinetic energy is:

1. $1:3$
2. $1:1$
3. $3:1$
4. $2:1$

Q. The correct relation between $S,\theta ,L$ and $C$ for an optically active solution is:

1. $S=\theta LC$
2. $\theta =SLC$
3. $L=\theta SC$
4. $C=\theta LS$

Q. A particle is moving eastward with a velocity $5{ms}^{-1}$. In $10s$ the velocity changes to $5{ms}^{-1}$ northwards. The average acceleration in this time is:

1. $\frac{1}{2}{ms}^{-2}$ towards North - West
2. $\frac{1}{\sqrt{2}}{ms}^{-2}$ towards North - West
3. $\frac{1}{2}{ms}^{-2}$ towards North - East
4. $\frac{1}{\sqrt{2}}{ms}^{-2}$ towards North - East

Q. The work done in taking an ideal gas through one cycle of operation as shown in the indicator diagram:

1. ${10}^{-5}J$
2. ${10}^{-3}J$
3. ${10}^{-2}J$
4. $10J$

Q. An inductor and a resistor are connected to an ac supply of $50V$ and $50Hz$. If the voltage across the resistor is $40V$ the voltage across the inductor will be:

1. $10V$
2. $20V$
3. $30V$
4. $60V$

Q. Two point charges $Q_1=2\mu C$ and $Q_2=1\mu C$ are placed as shown. The coordinates of the point $P$ are $(2cm,1cm)$. The electric intensity vector at $P$ subtends an angle $\theta$ with the positive $X$ axis. The value of $\theta$ is given by:

1. $\tan \theta =2$
2. $\tan \theta =3$
3. $\tan \theta =4$
4. $\tan \theta =1$

Q. LCD stands for:

1. Liquid Crystal Display
2. Long Crystal Display
3. Light Carrying Diode
4. Light Crystal Display

Q. Assuming $g_{\left(moon\right)}=\left(\frac{1}{6}\right)g_{earth}$ and $D_{\left(moon\right)}=\left(\frac{1}{4}\right)D_{earth}$ where $g$ and $D$ are the acceleration due to gravity and diameter respectively, the escape velocity from the moon is:

1. $\frac{11.2}{24}{kms}^{-1}$
2. $11.2\times \sqrt{24}{kms}^{-1}$
3. $\frac{11.2}{\sqrt{24}}{kms}^{-1}$
4. $11.2\times 24{kms}^{-1}$

Q. A convex lens of focal length $F$ is placed in contact with a concave lens of focal length $F$. The equivalent focal length of the combination is:

1. Infinity
2. $F/2$
3. $2F$
4. Zero

Q. Which of the following cannot be explained on the basis of Bernoulli's principle?

1. Lift on an aircraft's wing
2. Ink filler
3. Swing of a cricket ball
4. Atomizer

Q. A mass of $0.1kg$ is hung at the $20cm$ mark from a $1m$ rod weighing $0.25kg$ pivoted at its centre. The rod will not topple if:

1. no other mass is attached to the rod
2. $0.15kg$ is hung at $80cm$ mark
3. $0.15kg$ is hung at $70cm$ mark
4. $0.10kg$ is hung at $70cm$ mark

Q. A radioactive sample has a half-life of $10$ minutes. If $64$ nuclei are contained in the sample the number of nuclei that would decay after $50$ minutes is:

1. $62$
2. $2$
3. $5$
4. $59$

Q. A particle executes simple harmonic motion with amplitude $A$. The distance moved by the particle in one oscillation is:

1. $A$
2. $2A$
3. Zero
4. $4A$

Q. The layer in the earth's atmosphere which reflects radio waves from the earth thus, helping radio communication is:

1. Mesosphere
2. Ionosphere
3. Troposphere
4. Stratosphere

Q. The carrier of electromagnetic interaction is:

1. gluon
2. photon
3. meson
4. graviton

Q. The reaction of the floor on an object placed on the floor of an elevator is maximum when elevator:

1. cable snaps and it falls freely towards the earth
2. accelerates downwards
3. accelerates upwards
4. is stationary

Q. A block of mass $0.1kg$ is held against a wall by applying a horizontal force on $5N$ on it. If ${\mu }_s$ between the wall and the block is $0.5$ the magnitude of the frictional force acting on the block is :

1. $4.9N$
2. $2.5N$
3. $0.98N$
4. $0.49N$

Q. Which of the following statement is false:

1. Sound and light wave exhibit interference
2. Sound and light wave exhibit diffraction
3. Light wave exhibits polarization while sound wave does not
4. Sound wave exhibits polarization while light wave does not

Q. If $120J$ of work is done in $2$ minutes by a water pump, the power of the pump is:

1. $60W$
2. $14.4KW$
3. $1W$
4. $240W$

Q. A capacitor of $10\mu F$ is connected to a $10V$ cell. The maximum charge on the capacitor will be:

1. $1\mu C$
2. $1000\mu C$
3. $10\mu C$
4. $100\mu C$

Q. Reverse saturation current of a diode:

1. is independent of temperature
2. increases with increase in temperature
3. decreases with increase in temperature
4. may increase or decrease with increase in temperature depending on the semiconductor

Q. A $10\mu F$ capacitor is charged to $10V$ and disconnected from the battery. If another uncharged $10\mu F$ capacitor is connected across it in parallel the voltage across the combination will be:

1. $20V$
2. $5V$
3. $10V$
4. $0$

Q. A particle is projected at an angle of ${30}^0$ with the horizontal with a momentum $P$. At the highest point its momentum is

1. $\frac{\sqrt{3}}{2}P$
2. $\frac{2}{\sqrt{3}}P$
3. $P$
4. $\frac{1}{2}P$

Q. The number of neutrons in ${}_{92}{U}^{235}$ nucleus is:

1. $235$
2. $92$
3. $143$
4. $327$