JEE Main 2018 (Online) 16th April Morning Slot | Units & Measurements Question 146 | Physics

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity A = $${{{P^3}{Q^2}} \over {\sqrt R S}}.$$

The maximum percentage error in the value of A will be :

6.0%

7.5%

8.5%

6.5%

JEE Main 2018 (Online) 16th April Morning Slot

MCQ (Single Correct Answer)

-1

The relative uncertainly in the period of a satellite orbiting around the earth is 10^-2. If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is :

10^$$-$$2

2 $$ \times $$ 10^$$-$$2

3 $$ \times $$ 10^$$-$$2

6 $$ \times $$ 10^$$-$$2

JEE Main 2018 (Offline)

MCQ (Single Correct Answer)

-1

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:

2.5%

3.5%

4.5%

JEE Main 2018 (Online) 15th April Evening Slot

MCQ (Single Correct Answer)

-1

The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants G, h and c.

Which of the following correctly gives the Planck length ?

G $$\hbar $$² c³

G² $$\hbar $$ c

$${G^{{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}{\hbar ^2}c$$

$${\left( {{{G\hbar } \over {{c^3}}}} \right)^{{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}$$

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