Units and Measurement – Physics | NEET Online Mock Test

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

How many significant figures are there in the value 2.50×10¹⁰m ?

The length of one division on the main scale of the vernier calliper is 0.1 cm. If the 10 division of the vernier scale coincides with the 9 divisions of the main scale, find the least count

A vernier calliper has 1 mm marks on the main scale. It has 20 equal divisions on the vernier scale, which match 16 main scale divisions. For these vernier callipers, the lowest count is

Velocity v is given by v = at² + bt + c, where t is time. Find the dimension of a²h/c

1. [L² T-^-6]
2. [L T^-6]
3. [L² T^-7]
4. [L² T^-4]

In vernier callipers, the N divisions of a vernier coincide with (N-1) divisions of main scale in which length of one division is  1mm. The least count of the instrument (in cm) is

In a new system of units, the fundamental quantities mass, length and time are replaced by acceleration 'a', density 'p' and frequency T. The dimensional formula for force in this system is

1. [pa⁴f]
2. [pa⁴f^-6]
3. [p^-1a^-4f⁶]
4. [p^-1a^-4f^-1]

Number of significant figures in the given number 62.00 m is

A drop of olive oil of radius 0.25 mm spreads into a circular film of radius 5cm on the water surface. Estimate the thickness of the film

1. 8.3x10^-10m
2. 7.2x10^-9m
3. 8.9x10^-9m
4. 8.3x10^-9m

If the percentage error in the measurement of the radius of the sphere is 1.5% then the maximum percentage error in the measurement of its volume is

The time dependence of a physical quantity P is given by P = P0e(-αt2) [where α is a constant and t is time]. The constant α

1. Has dimensions [T^-2]
2. Has dimensions [T²]
3. Has dimensions of P
4. Are dimensions less

Which of the following measurements is made by the most precise measuring instrument?

The dimension of time in torque is

The velocity of a particle is given by v = ωA cos(ωt - kx), where x is position and t is time. The dimensions of k/ω is

1. [LT^-1]
2. [L^-1T¹]
3. [L²T^-2]
4. [L^-2T²]

Evaluate 88.956 cm - 78.8 cm

If in a hypothetical system, the unit of velocity is 4 m/s, the unit of acceleration is 24 m/s² and the unit of force is 6 N, then the unit of energy is

The dimensional formula for impulse is

1. [MLT^-2]
2. [MLT^-1]
3. [ML²T^-1]
4. [M²L²T^-1]

The number of significant figures in the measurements 4.7000 x 10⁴ and 47000.50 respectively

The percentage errors in the measurement of the length and time period of a simple pendulum are 1% and 2% respectively. Then the maximum error in the measurement of acceleration due to gravity is

An object oscillates about a certain mean position. Its time period of oscillation is being measured by a stopwatch of least count 0.1 s. For 20 oscillations the time noted down is 40.0 s. Then fractional error in the measurement of the time period of oscillation is

In a screw gauge, the main scale divisions is 1mm and there are 100 divisions on circular scale. What is the least count of the screw gauge?