JEE Main 2022 (Online) 25th June Evening Shift | Heat and Thermodynamics Question 148 | Physics

The relation between root mean square speed (v_rms) and most probable sped (v_p) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be :

$${v_{rms}} = \sqrt {{2 \over 3}} {v_p}$$

$${v_{rms}} = \sqrt {{3 \over 2}} {v_p}$$

$${v_{rms}} = {v_p}$$

$${v_{rms}} = \sqrt {{1 \over 3}} {v_p}$$

JEE Main 2022 (Online) 24th June Evening Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

A Carnot engine takes 5000 kcal of heat from a reservoir at 727$$^\circ$$C and gives heat to a sink at 127$$^\circ$$C. The work done by the engine is

3 $$\times$$ 10⁶ J

Zero

12.6 $$\times$$ 10⁶ J

8.4 $$\times$$ 10⁶ J

JEE Main 2022 (Online) 24th June Evening Shift

MCQ (Single Correct Answer)

-1

A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms^$$-$$1. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail?

[Specific heat capacity of iron = 0.42 Jg^$$-$$1 $$^\circ$$C^$$-$$1]

675$$^\circ$$C

1600$$^\circ$$C

16.07$$^\circ$$C

6.75$$^\circ$$C

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