Verified Solution • 2025–26 Session moderate

QAIPMT-2008-Ph-2277: NEET 2008 Physics - Class 12 AIPMT-2008-Ph-2277 Solution: A roller coaster is designed such that riders experience…

A roller coaster is designed such that riders experience 'weightlessness' as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between 16 m/s and 17 m/s 13 m/s and 14 m/s 14 m/s and 15 m/s 15 m/s and 16 m/s

Multiple Choice Options

A 3 $\times$ _ 10 $-$ _ 31 ms $-$ _ 1
B $2.7 \times {10^{ - 21}}\,m{s^{ - 1}}$ 2.7 _ 1 0 _ 21 m s _ 1
C 2.7 $\times$ _ 10 $-$ _ 18 ms $-$ _ 1
D 9 $\times$ _ 10 $-$ _ 2 ms $-$ _ 1

Step-by-Step Verified Solution

de-Broglie wavelength associated with electron moving with velocity _, _ = h m v So, _ e = h 9.1 _ 10 _ 31 _ 3 _ 10 6 Wavelength of particle of mass 1 mg moving with velocity _. _ p = h 10 _ 6 _ v As given, _ e = _ p _ h 9.1 _ 10 _ 31 _ 3 _ 10 6 = h 10 _ 6 _ v _ v = 27.3 _ 10 _ 25 10 _ 6 = 2.7 _ 10 _ 18 m s _ 1

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