Physics Mock Test - I

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Q 1.

In the circuit shown in the figure, reading of voltmeter is \(V_1\) when only \(S_1\) is closed, reading of voltmeter is \(V_2\) when only \(S_2 \) is closed and reading of voltmeter is \(V_3 \) when both \(S_1\)and \(S_2 \) are closed, then

Q 2.

A certain body of mass M moves under the action of a conservative force with potential energy U given by \(U= \frac{Kx}{x^2+a^2}\ (x\to distance \to amplitude)\) 

In this equation the units of K will be equal to that of:

Q 3.

The circuit shown here is used to compare the emf ‘s of the cells \(E_1\ and \ E_2 \ (E_1>E_2)\) . When the galvanometer is connected to \(E_1\) , the null point is at C. When the galvanometer is connected to \(E_2\) , the null point will be

Q 4.
The coordinates of a moving particle at any time \(t\) are given by \( x= ct^2\ and\ y =bt^2 \), the speed of the particle at time \(t\) is given by:

Q 5.
At the mid-point along the length of a long solenoid, the magnetic field is equal to X. If the length of the solenoid is doubled and the current is reduced to half the field at the new mid-point will be nearest to

Q 6.
If the cable of a lift snaps while the lift is descending, then the weight as felt by the person inside the lift is

Q 7.
De Broglie wavelength of an alpha particle and a neutron are same then velocity of

Q 8.
The masses \(m_1\) and \(m_2\) are initially at rest and at infinite distance apart. They start moving towards one another under their mutual gravitational field. Their relative speed when they are at a distance d apart is:

Q 9.
The retarding potential for photoelectrons emitted when potassium having work function 0.3 eV is illuminated by light of wavelength 3300A° is

Q 10.
The height of mercury column in a simple barometer is \(h \). As the tube is inclined with the vertical at an angle \(\alpha\), the length of the mercury column along the length of the tube is \(l\), then:

Q 11.
Consider the following reaction \(_1H^2+_1H^2\to \ _2He^4+Q\). If \(m(_1H^2)=2.0141u;\ m(_2He^4)=4.0024u\). The energy Q released (in MeV) in this fusion reaction is

Q 12.

The load versus elongation graph for the same material is shown in figure. The thinnest wire is represented by the line :

Q 13.
Difference in working of an amplifier and step up transformer is

Q 14.
If the work done in blowing a bubble of volume V is W then the work done in blowing a soap bubble of volume 2V will be:

Q 15.
The dominated waves associated with radiation emitted from a black body which is at a temperature 2.7 K belongs to (stefan’s constant b = \(2.88 \times 10^{-3}\ mK\))

Q 16.
The ratio of radii of two spheres is 1:2 when they are dropped in a viscous liquid. The ratio of their terminal speeds is:

Q 17.
Which of the following is represents ‘action and reaction’ pair

Q 18.
A black body at a temperature T radiates at the rate of W watts. If the temperature of the body is reduced to T / 3, it will radiate at the rate of (in watts)

Q 19.
To increase both the resolving power and magnifying power of a telescope

Q 20.
A Carnot engine working between 300 K and 600 K has a work output of 800 J per cycle. The amount of heat energy supplied to the engine from the source in each cycle is

Q 21.
Two plane mirrors are placed perpendicular to each other. A ray strikes one mirror and after reflection falls on the second mirror. The ray after reflection from the second mirror will be

Q 22.

The height of a waterfall is 84 metre. Assuming that the entire kinetic energy of falling water is converted into heat, the rise in temperature of the water will be


Q 23.
A clear sheet of polaroid is placed on the top of similar sheet so that their axes make an angle \(sin^{-1}\left (\frac 3 5 \right)\) with each other. The ratio of intensity of the emergent light to that of unpolarised incident light is

Q 24.
Ten tuning forks are arranged in increasing order of frequency in such a way that any two nearest tuning forks produce 4 beats per sec. the highest frequency is twice that of the lowest. Possible highest and lowest frequencies (in Hz) are

Q 25.
In a n-p-n transistor circuit, the collector current is 10mA . If 90% of the electrons emitted reach the collector, the emitter current ( \(I_E\)) and base current (\(I_B\))  are given by

Q 26.
A spherical mirror forms an image of the magnification 3. The object distance , if focal length of mirror is 24 cm, may be

Q 27.
A count rate meter shows a count of 240 per minute from a given radioactive source. One hour later the meter shows a count rate of 30 per minute. The half-life of the source is

Q 28.
The maximum value of index of refraction of a material of a prism which allows the passage of light through it when the refracting angle of the prism is A is:

Q 29.
In a nuclear reactor 0.01 mg of a fissile material is totally converted into energy in one second. The power of the reactor in MW is

Q 30.
An achromatic combination is made with a lens of focal length ' ' f and dispersive power ' '  with a lens having dispersive power of \(2\omega\). The focal length of second will be

Q 31.
In an LCR circuit capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should be changed from L to

Q 32.
Two resistances \(R_1 \) and \(R_2\) are made of different materials. The temperature coefficient of the material of \(R_1 \) is \(\alpha\) and of the material of \(R_2\) is −\(\beta\). The resistance of the series combination of \(R_1 \) and \(R_2\) will not change with temperature, if \(R_1 \)/\(R_2\) equals:

Q 33.
Dimensional formula of spring constant (k) is

Q 34.
A 100 W bulb working on 200 volts and a 200 W bulb working on 100 V have:

Q 35.

Two junction diodes one of Germanium (Ge) and other of silicon (Si) are connected as shown in figure to a battery of emf 12V and a load resistance 10k\(\Omega\) . The germanium diode conducts at 0.3V and silicon diode at 0.7 . V When a current flows in the circuit, the potential of terminal Y will be

Q 36.
In the circuit shown here, what is the value of the unknown resistance R . For which the effective resistance of the circuit between points P and Q is also equal to R

Q 37.
A \(\frac 1 2\) kg ball moves in a circle 0.4m of radius at a velocity of 4 m/s. Its centripetal acceleration is

Q 38.
In an electronic circuit, a cell, a variable resistance R and Ammeter are connected in series. A Voltmeter connected with the variable resistance to measure the voltage across the wire R and at one instant the reading of Ammeter and Voltmeter are 0.3 A and 0.9 V respectively. At other instant the values of Ammeter and Voltmeter are 0.25 A and 1.0 volt for other value of R. The internal resistance of the cell will be:

Q 39.
A solid ball of volume V is dropped in a viscous liquid. It experiences a viscous force F . If the solid ball of volume 8V is dropped in the same fluid, then the viscous force acting on it is

Q 40.
A proton and an alpha particle have equal kinetic energies. When they enter a field of magnetic induction B, moving at right angles to it, they describe circles. If \(r_p\) and \(r_a\) be the radii of the curvature respectively, then:

Q 41.
Transverse waves of same frequency are generated in two steel wires A and B . The diameter of A is twice that of B and the tension in A is half that of B. The ratio of velocities of waves in A and B is

Q 42.
In LCR circuit the capacitance is changed from C to 4 . C For the same resonant frequency, the inductance should be changed from L to

Q 43.
An ideal gas heat engine operates in a Carnot’s cycle between 227°C and 127°C . It absorbs \(6 \times 10^4J\) of heat at high temperature. The amount of heat converted into work is

Q 44.

In the L-C-R series circuit the voltmeter and ammeter readings are:


Q 45.
The height from the earth’s surface at which the acceleration due to gravity is \(\frac 1 {100}\ th\) of the value at the surface is [radius of the earth is R]

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