Which of the following physical quantities has neither dimensions nor unit ?

If the units of length and force are increased four times, then the unit of energy will –

If velocity, force and time are taken to be fundamental quantities find dimensions formula for (a) mass –

In a particular system, the unit of length, mass and time are chosen to be 10cm, 10gm and 0.1s respectively. The unit of force in this system will be equivalent to –

A rectangular plate has length (2 ± 0.02) cm and width (1 ± 0.01) cm. The maximum percentage error in the measurement of its area is -

In a resonance tube with tuning fork of frequency 512 Hz, first resonance occurs at water level equal to 30.3 cm and second resonance occurs at 63.7cm. The maximum possible error in the speed is -

A science student takes 100 observations in an experiment. Second time he takes 500 observations in the same experiment, by doing so the possible error becomes -

The density of a cube is measured by measuring its mass and length of its sides. If the maximum errors in the measurement of its mass and length are 4% and 3% respectively, the maximum error in density is –

The dimensions of h/e (h = Planck’s constant and e = electronic charge) are same as that of :

An unknown body is measured with a meter scale of unequal length if the mass appears 10g and 11g when it is kept on both the pans respectively. The true mass is -

The main scale of a verniercallipers reads in millimeter and its vernier in divided into 10 divisions which coincide with a division of the main scale. When the two jaws of the instrument touch each other the seventh division of the vernier scale coincide with a scale divisions and the zero of the vernier lies to the right of the zero of mains scale. Furthermore when a cylinder is tightly placed along its length between the two jaws, the zero of the vernier scale lies slightly to the left of 3.2 cm and the fourth vernier division coincides with a scale division. What is the length of the cylinder?

The distance advanced by screw of a screw gauge is 2mm in four rotation. Its cap is divided into 50 division. There is no zero error. If the screw reads 3 divisions on the main scale and 32 divisions on the cap, then the diameter of the wire is -

A body weights 24.2g when placed in one pan of a balance and 20g when placed in other. What is the true mass of the body if the arms have unequal length ?

The pitch of a screw gauge is 1 mm and there are 50 divisions on its cap. When nothing is put in between the studs, 44th division of the circular scale coincides with the reference line. When a glass plate is placed between the studs, the main scale reads three divisions and the circular scale reads 26 divisions. Calculate the thickness of the plate –

The arms of a physical balance are equal but an object weighs 7.00 kg when placed in the left pan and 7.50 kg placed in the right pan. What is the actual mass of the object ?

The least count of verniercallipers is 0.1 mm. The main scale reading before the zero of the vernier scale in 10 and the zeroth division of vernier scale coincides with the main scale division. Given that each main scale division is 1 mm. The measured value should expressed as -

An object is weighed on a balance, whose pans are not equal in masses, when object is placed in the left pan, the object appear to weigh 9.30 g, but when placed in the right pan, it appears to weigh 10.62 g. What's the correct mass ?

A screw gauge has a least count of 0.001 cm. The number of divisions through which zero mark of circular scale has crossed the refrence line is 2. The zero error is –

While studying the dissipation of energy of a simple pendulum by plotting a graph between square of amplitude and time which of the following apparatus is not essential?

Which meter is not used to determine specific heat of solid?

An object is weighed on a balance made by metre scale, respective pans were 2 g and 2.5 g, body appear to weigh 10.6 g when kept at the one pan but 9.30 g when kept at the other. What is the actual mass?

In a resonance tube experiment the first resonance is obtained at 10 cm of air column and the second for 32 cm, the end correction is -