# Numerical Problems Based on Class 11 Physics Units and Measurement

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## Numerical Problems Based on Class 11 Physics Units and Measurement

Q.1. Convert a power of one mega watt on a system whose fundamental units are 10 kg, 1 dm and 1 minute.

Solution: 2.16 x 1012 in new units

Q.2. The moon is observed from two diametrically opposite points A and B on earth. The angle θ subtended at the moon by the two directions of observation is 1°54′ . Calculate the distance of moon from earth. [Given the diameter of earth = 1.276 × 107m]

Solution:

Q.3. The velocity of sound in air is 332m/s. If the units of length is km and unit of time is hour, using dimension calculate the value of velocity?

Solution:

Q.4. The angular diameter of the sun from earth is 16 minute. If the distance of earth from the sun is 1.49×1011m, then what will be the diameter of sun?

Solution:

Q.5. A physical quantity Q is given by

The percentage error in A,B, C, D are 1%, 2%, 4%, 2% respectively. Find the percentage error in Q.

Solution:

Q.6. A body has an acceleration of 10 km/h2. Find its value in c.g.s system.

Solution:

0.0772 cm/s2

Q.7. The resistance R is the ratio of potential difference V and current I. What is the % error in R if V = (100 ± 5) volt and I = (10 ± 0.2)A ?

Solution:

Q.8. Two resistances r1= (5.0 ± 0.2)W and r2= (10.0± 0.1)W are connected in parallel. Find the value of equivalent resistance with limits of percentage error.

Solution:

Q.9. Calculate the focal length of a spherical mirror from the following data : Object distance u = (50.1±0.5) cm, image distance = v = (20 ± 0.2) cm.

Solution:

Q.10. A capacitor of capacitance C = (2.0± 0.1)mF is charged to a voltage V = (20± 0.5) volt. Calculate the charge Q with error limits.

Solution:

Q.11. The radius of a sphere is measured to be (2.1± 0.5) cm. Calculate its surface area with error limits.

Solution:

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