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Q.

A barometer kept in an elevator reads 76 cm when the elevator is accelerating upwards. The most likely pressure inside the elevator (in cm of Hg) is

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a

A. 74

b

C. 76

c

D. 77

d

B. 75

answer is C.

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Detailed Solution

The total of a and g will be the net acceleration while the elevator is moving upward at acceleration. A device known as a barometer is used to measure atmospheric pressure, also known as barometric pressure.
i.e.a+g

Let this mercury column's height be h=76 cm.
Allow mercury's density to be ρ.
Let the gravitational acceleration be g.
Let a be the lift's acceleration.

A mercury-dipped tube serves as a barometer.
The mercury column inside the tube rises to a certain height as a result of the external air pressure.
You may provide the ambient pressure as
pA=hρg
The effective value of g may be calculated using the following formula if the lift uniformly accelerates upward:
geff=g+a
Consequently, the lift's effective pressure may be expressed as
peff=hρ(g+a)
Since the geff>g, The value of h must drop in order to maintain the constant effective pressure.
However, it is assumed that h will always have the same value.
As a result, effective pressure must be worth more.
peff>pA
peff>76 cm of Hg
Consequently, the elevator's internal pressure has to be higher than76 cmofHg.

Hence, the correct answer is option C.

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