The quantity having the same units in all systems of units is
A balloon contains 1500 m3 of helium at 27°C and 4 atmospheric pressure. The volume of helium at -3°C temperature and 2 atmospheric pressure will be,
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A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72 km/h. The jeep follows it at a speed of 90 km/h, crossing the turning 10 s later than the bike. Assuming that they travel at constant speeds, how far from the turning will the jeep catch up with the bike? (in km)
What will b.e the force constant of the spring system shown in figure?
A stone is tied to a string of length l and is whirled in air vertical circle with the other end of the string as their centre. At a certain instant of time, the stone is at its lowest position and has a speed u.The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is
If c, the velocity of light, g the acceleration due to gravity and P the atmospheric pressure, be the fundamental quantities in MKS system, then the dimensions of length will be same as that of
A particle of mass m is driven by a machine that deliver a constant power k watts. If the particle starts from rest the force on the particle at time t is
A sonometer wire supports a 4 kg load and vibrates in fundamental mode with a tuning fork of frequency 416 Hz. The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to
A couple consisting of two forces F1 and F2 each equal to 5 N is acting at the rim of a disc of mass 2 kg and radius 1/2m for 5s. Initially, the disc is at rest, the final angular momentum of the disc is
A large tank filled with water to a height 'h’ is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from h to h/2 and h/2 to zero is
A body of mass m hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity, so that the string would just reach where it makes an angle of 60° with the vertical. The tension in the string at bottom most point position is
What is the disintegration constant of radon, if the number of its atoms diminishes by 18% in 24 h?
A black body at 1227°C emits radiations with maximum intensity at a wavelength of 5000Å. If the temperature of the body is increased by 1000° C, the maximum intensity will be observed at
Consider the following statement:
When jumping from some height, you should bend your knees as you come to rest, instead of keeping your legs stiff. Which of the following relations can be useful in explaining the statement?
Where symbols have their usual meanings.
The bandwidth of a series resonant circuit is 500 Hz and the resonant frequency is 5000 Hz. The quality factor of the circuit will be
The mass number of He is 4 and that for sulphur is 32. The radius of sulphur nuclei is larger than that of helium by
How much should the pressure of the gas be increased to decrease the volume by 10% at a constant temperature?
A hollow cylinder has a charge q coulomb within it. If φ is the electric flux in units of voltmeter associated with the curved surface B, the flux linked with the plane surface A in units of voltmeter will be
If the critical angle for total internal reflection from a medium to vacuum is 30°. Then velocity of light in the medium is
Which of the following is not the property of equipotential surfaces?
A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If x is the separation between the plates, the time rate of change of electro static energy of capacitor is proportional to
A particle of mass 1 kg is moving in S.H.M. with an amplitude 0.02 and a frequency of 60 Hz. The maximum force acting on the particle is
A long horizontal rod has a bead which can slide along its length and initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with constant angular acceleration α. If the coefficient of friction between the rod and the bead is μ and gravity is neglected, then the time after which the bead starts slipping is
According to Maxwell’s hypothesis, a changing electric field gives rise to
Which of the following pairs of space and time varying E = (iEx + jEY + kEz) and B = (iBx + jBy + kBz) would generate a plane electromagnetic wave travelling in the z-direction?
A bucket full of hot water is kept in a room and it cools from 75°C to 70°C in T1 minutes, from 70°C to 65°C in T2 minutes and from 65°C to 60°C in T3 minutes. Then
In Young’s double slit experiment, when wavelength used is 6000 Å and the screen is 40 cm from the slits, the fringes are 0.012 cm wide. What is the distance between the slits?
The energy of hydrogen atom in the nth orbit is En, then the energy in the nth orbit of single ionised helium atom is