20th Dec Dimensions and Error Quiz 1 – Punjab Meritorious School Preparation Portal

Welcome to your 20th Dec Dimensions and Error Quiz 1 CBT TEST

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The relative density of a metal may be found by hanging a block of the metal from a spring balance and noting that in air, the balance reads (5.00 ± 0.05) N while in water it reads (4.00 ± 0.05) N. The relative density would be quoted as

5.00 ± 0·05

5.00 ± 0.10

5.00 ± 6 %

5.00 ± 11%

The heat generated in a circuit is depend the resistance, current and time for which current is flown. If the error in measuring the above are 1%, 2% and 1%, respectively, the maximum error in calculating heat will be

A certain body weighs 22.42 g and has a measured volume of 4.7 cc. The possible error in the measurement of mass and volume are 0.01 g and 0.1 cc Then maximum error in the density will be

22%

0.2%

0.02%

A highly rigid cubical block A of small mass M and side L is fixed rigidly onto another cubical block of same dimensions and low modulus of rigidity η such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on a horizontal surface. A small force F is applied perpendicular to one of the sides faces of A. After the force is withdrawn, block A executes small oscillations, the time period of which is given by

work/time

work/distance

work x distance

work x time

A spherometer has 250 equal divisions marked along the periphery of its disc, and one full rotation of the disc advances on the main scale by 0.0625 cm. The least count of the spherometer is

The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation of the type f = cm^xk^y, where c is a dimensionless constant. The values of x and y are

Which of the following do not have the same dimensions as the other three? Given that l= length, m = mass, k = force constant, I = moment of inertia, T = torque, R = radius, g = acceleration due to gravity.

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