The gravitational force on a textbook at the top of Pikes Peak (elevation 14,100 ft.) is 40 newtons. What would be the approximate gravitational force on the same textbook if it were taken to twice the elevation?
1) 5 N 2) 10 N 3) 20 N 4) 40 N
A laboratory cart with a mass of m and velocity v runs headlong into a stationary spring bumper and compresses the spring. If the spring has a spring constant k, what is the maximum compression of the spring?
1) v Öm/k
2) Ömv / k
3) mv2/ 2k
4) mv Ö k
A wire has a mass 0.3 ± 0.003 g, radius 0.5 ± 0.005 mm and length 6 ± 0.06 cm. The maximum percentage error in the measurement of its density is
1) 1
2) 2
3) 3
4) 4
In order to place a satellite of mass m in circular orbit at a distance r from the center of a planet of mass M the speed of the satellite needs to be
1) ÖGm/r 2) Ö2gr 3) ÖGM/r 4) GM=r
4.0 g of a gas occupier 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 J/K mol. If the speed of sound in this gas at NTP is 952 1/ ms, then the heat capacity at constant pressure is (Take gas constant R = 8.3 J/K mol)
1) 8.5 J/K mol 2) 8.0 J/K mol 3) 7.5 J/K mol 4) 7 J/K mol
Two charged particles having charges +25μC and +50μC are separated by a distance of 8 cm. The ratio of forces on them is:
1) 1 : 1 2) 1 : 2 3) 4 : 1 4) 2 : 1
A cord is used to lower vertically a block of mass M a distance d at a constant downward acceleration of g/2. Then the work done by the cord on the block is: 1.– Mgd/4 2.– 3Mgd/4 3.– Mgd/2 4.– 3Mgd/2
A bob is suspended from a crane by a cable of length l = 5m. The crane and load are moving at a constant speed v. the crane is stopped by a bumper and the bob on the cable swings out an angle of 60°. The initial speed v is ( g=9.8 m/s2)
1) 10 m/s 2) 7 m/s 3) 4 m/s 4) 2 m/s
A ball is dropped from rest. What is its speed after 3 seconds? (1) 15 m/s (2) 25 m/s (3) 30 m/s (4) 45 m/s
A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m which applying the force and the ball goes upto 2 m height further, find the magnitude of the force. Consider g = 10 m/s2
1) 22 N 2) 4 N 3) 16 N 4) 20 N
If the mass of the earth increases by 80%80% and radius of the earth increases by 40%40% then the percentage charge in acceleration due to gravity on the surface of radius of earth is (where $$g_{s}=\dfrac{GM} {R^{2}} ,M=$$ mass of earth and $$R=$$ radius of earth})
1) zero 2) +8.16% 3) - 8.16% 4) 160%
If the charge on an isolated capacitor remains constant while its capacitance increases:
(1) The voltage across the capacitor will increase.
(2) The voltage across the capacitor remains the same.
(3) The voltage across the capacitor will decrease.
(4) The area of the capacitor must have decreased.
The cell has an emf of 2V and the internal resistance of this cell is 0.1Ω, it is connected to a resistance of 3.9Ω. The voltage across the cell will be 1) 1.95V 2) 1.5V 3) 2V 4) 1.8V
Figure shows a circuit that may be used to compare the resistance R of an unknown resistor with a 100 ω standard. The distances ll from one end of the potentiometer slider wire to the balance point are 400 mm and 588 mm when X is connected to Y and Z, respectively. The length of the slide wire is 1.00 m. What is the value of resistance R? 1) 32 ω 2) 47 ω 3) 68 ω 4) 147 ω
Two radiations containing photons of energy twice and five times the work function of a metal one incident successively on the metal surface. The ratio of the maximum velocities of the emitted electrons in the two cases will be: 1).1 : 3 2).1 : 4 3).1 : 2 4).2 : 5
The relation between current and maximum current Im at half power points in resonant circuit will be :
(1) I = Im / 2√2
(2) I = Im √2
(3) I = Im / 2
(4) I = Im / √2
A box contains 100mg. of radioactive sample of half - life 270 days. After 540 days, the mass of radioactive material left will be
(1) 12.5 mg (2) Zero (3) 50 mg (4) 25 mg
A column of air and a tuning fork produce 4 beats per second when sounded together, with tuning fork producing the lower note. The temperature of air is 15°C. When the temperature falls to 10°C, they produce 3 beats per second. Find the frequency (in Hz) of the fork.
1) 114 2) 106 3) 110 4) 102
If a body of mass mm has to be taken from the surface to the earth to a height h=4R, then the amount of energy required is (R= radius of the earth)
1) mgR 2) mgR / 5. 3) 4mgR / 5 4) mgR / 12
Find the magnitude of net electric field at the centre of square having charges arranged as shown in figure
$$\begin{array}{1 1}(1)\;4 \sqrt{2}\;\large\frac{k\;q}{a^2}\qquad(2)\;2 \sqrt{2}\;\large\frac{k\;q}{a^2}\qquad(3)\; \sqrt{2}\;\large\frac{k\;q}{a^2}\qquad(4)\;\large\frac{k\;q}{a^2}\end{array}$$
If the magnetic field of a light wave oscillates parallel to y-axis and is given by By=Bmsin(kz−ωt), the direction of wave travel and the axis along which the electric vector oscillates is : 1) + ve y - axis, z - axis 2) -ve z - axis, x - axis 3) -ve x - axis , y - axis 4) - ve x - axis, z - axis
200 MeV of energy may be obtained on the fission of one atom of the U235 isotope. A reactor using U235 as fuel is generating 1000 kW of power. The rate of nuclear fission in the reactor is
1) 1000s−1 2) 1.38×109s−1 3) 3.125×1016s−1 4) 931s−1
Transformer changes :
(1) DC current (2) DC voltage (3) AC voltage (4) AC & DC voltage
A particle is projected up from a point at an angle θθ with the horizontal direction. At any time t, if P is the linear momentum, y is the vertical displacement, x is horizontal displacement, the graph among the following which does not represent the variation of kinetic energy KE of the particle is
1) graph (A) 2) graph (B) 3) graph (C) 4) graph (D)
Unpolarized light falls first on polarizer (P) and then on analyzer (A). If the intensity of the transmitted light from the analyser is 1 / 8 th of the incident unpolarized light. What will be the angle between optic axes of P and A? 1) 45o 2) 30o 3) Zero 4) 60o
A fully charged capacitor has a capacitance $$C$$. It is discharged through a small coil of resistance wire, embedded in a block of specific heat $$s$$ and mass $$m$$ under thermally isolated conditions. If the temperature of the block is raised by $$\displaystyle \Delta T$$, the potential difference $$V$$ across the capacitor initially is:
1) $$\displaystyle { \left( \frac { 2ms\Delta T }{ C } \right) }^{ 2 }$$
2) $$\displaystyle { \left( \frac { 2ms\Delta T }{ C } \right) }^{ 1/2 }$$
3) $$\displaystyle { \left( \frac { 2ms\Delta T }{ C } \right) }$$
4) $$\displaystyle 2ms\Delta TC$$
Consider the following statements about dimensions :
P: Force = acceleration due to gravity x mass
Q :Electric charge = current x time
R : Magnetic flux = Electric voltage x time
The correct statements are:
(1) R, P only (2) P, Q and R (3) P, Q only (4) Q, R only
A ray of light making an angle 10? with the horizontal is incident on a plane mirror making an angle θθ with the horizontal. What should be the value of θ so that the reflected ray goes vertically upwards? 1) 20? 2) 30? 3) 40? 4) 50?
2 kg of a substance of specific heat capacity c, and a piece of aluminum of mass 2m and specific heat capacity 2c each received the same quantity of heat. The temperature of the aluminum rose by 8 K. By how much did the temperature of the iron rise? (1) 2 K (2) 4 K (3) 8 K (4) 16 K
The two slits at a distance of 1 mm are illuminated by the light of wavelength $$ 6.5 \times 10^{-7} m $$. The interference fringes are observed on a screen placed at a distance of 1 m. The distance between third dark fringe and fifth bright fringe will be:
1) 0.65 cm 2) 4.8 mm 3) 1.62 mm 4) 3.25 cm
A travelling wave has a velocity of 400 m/s and has a wavelength of 0.5 m. What is the phase difference between two points in the wave that are 1.25 milli secs apart
1) 2π 2) 2π /3 3) 2π/5 4) π/6
In black body radiations for maximum emission the wavelength λ m shifted with increase of temperature of black body :
(1) at some temp. towards shorter side and others towards longer side
(2) towards higher wavelength
(3) towards shorter wavelength
(4) no shift
There are two radioactive substances A and B. Decay constant of B is two times that of A. Initially, both have equal number of nuclei. After nn half lives of A, rate of disintegration of both are equal. The value of n is
1) 4 2) 2 3) 1 4) 5
Two full terms of the circular scale of a screw gauge cover a distance of 1mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of −0.03mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is
1) 3.32mm 2) 3.73mm 3) 3.67mm 4) 3.38mm
Charge $$q_1 = + 2.0 n C $$ is on $$Y-$$ axis at $$y = +2 cm$$ and charge $$q_2 = -2.0 nC$$ is on $$Y-$$ axis at $$y = -2 cm $$ . The force on a test charge $$q_0 = 1 \mu C $$ placed on $$X-$$ axis at $$x= 2 cm $$ is :
1) $$ -0.01 \hat{j} N $$ 2) $$ +0.01 \hat{j} N $$ 3) $$ -0.03 \hat{j} N $$ 4) $$ +0.03 \hat{j} N $$
A planet is moving around the Sun in a circular orbit of circumference C. The work done on the planet by the gravitational force F of the Sun is 1) FC/2 2) FC 3) F/C 4) Zero.
A lamp of luminous intensity 20Cd is hanging at a height of 40 cmcm from the center of a square table of side 60 cm. The illuminance at the midpoint of the side of the table will be 1) 64 lux 2) 100 lux 3) 125 lux 4) 32 lux
A mass M attached to a spring oscillates with a period of 2s. If the mass is increased by 4 kg, the period increases by 1s. The initial mass M in kg assuming that Kooke’s law is obeyed is: 1) 1.6 2) 2.4 3) 3.2 4) 4.0
The hydrostatic pressure on the dam wall at the bottom of a deep reservoir depends upon the (1) Depth of the water (2) Surface area of the water (3) Length of the reservoir (4) Thickness of the wall
A stopper is attached in the middle of glass tube. Two bubbles of radius 2 cm. and 4 cm. are formed at the end of the glass tube. If one opens the stopper :
(1) small bubble will reduce and large will increase
(2) both will increase
(3) both will reduce
(4) small will increase and large will reduce
The 6563 ?A Hα line emitted by hydrogen in a star is found to be red-shifted by 15 A?. Estimate the speed with which the star is receding from the Earth.
1) 68.6×105ms−1 2) 2.86×105ms−1 3) 6.86×105ms−1 4) 1.86×105ms−1
A transformer having efficiency of 90% is working on 200V and 3kW power supply. If the current in the secondary coil is 6A, the voltage across the secondary coil and current in the primary coil respectively are 1) 300V,15A 2) 450V,15A 3) 450V,13.5A 4) 600V,15A
A conventional electric current flows due east in a high voltage power line. What would be the direction of the resulting magnetic field directly below the power line?
1) north 2) east 3) south 4) west
An ideal gas has a volume of 3 l at 2 atom pressure. Keeping the temperature constant, the pressure is doubled. Then the volume of the gas will be:
(1) 1.5 l (2) any value (3) 3 l (4) 6 l
Satellite is moving around the Earth in a circular orbit with a velocity V. If the gravitational force of the Earth were to suddenly disappear, then the satellite would 1) move with a velocity V, tangentially to its circular orbit. 2) fall towards the surface of the Earth. 3) move radially outwards with a velocity V. 4) spirally move away from the Earth.
