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If the nth term of the AP is 2n + 7, the...

If the nth term of the AP is 2n + 7, then the common difference will be _____
a) -2
b) 2
c) 3
d) -3

Text Solution

Verified by Experts

The correct Answer is:
A
A small sphericasl ball is released from a point at a height h on rough track and the sphere does not slip.
Therefoere, potential energy it has gained w.r.t the surface will be converted to angular kinetic energy about the centre and linear kinetic energy.
Therefore `mgh=1/2Iomega^2=mv^2`
`rarr mgh=1/2x2/5mR^2omega^2+1/2mv^2`
`rarr 9h=1/5v^2+1/5v^2`
`rarr v^2(10/7)gh`
`rarr v=sqrt((10gh)/7))`
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