`int (dt)/(sqrt(2at - t^(2))) = a^(2) sin ^(-1)[[1)/(a) - 1]`The value of x isA. `1`B. `-1`C. `0`D. `2`

`int (dt)/(sqrt(2at - t^(2))) = a^(2) sin ^(-1)[[1)/(a) - 1]`The value

1.	`int (dt)/(sqrt(2at - t^(2))) = a^(2) sin ^(-1)[[1)/(a) - 1]`The value of x isA. `1`B. `-1`C. `0`D. `2`
Answer» Correct Answer - c The quantity `(1)/(a) - 1` is dimensionless i.e.`[a] = [r]` `:. [sqrt(2at - t^(2)] = [r]` or, `[(dt)/(sqrt(2at -t^(2)))]= [(t)/(l)] = [M^(0) L^(0)T^(0)]` i.e. `a^(2)` should also be dimensionless or `x= 0`

Discussion

No Comment Found

Related InterviewSolutions

Assertion: In the relation`f = (1)/(2l) sqrt((T)/(m))`, where symbols have standard meaning , m represent linear mass density. Reason: The frequency has the dimensions linear of time.A. If both assertion and reason are true and reason is the correct explation of assertion.B. If both assertion but reason is not the correct explanation of assertion.C. If assertion is true but reason is false.D. If both assertion and reason are false.
Unit of `(CV)/(rho epsilon_(0))` are of (`C =` capacitance, `V =` potential, `rho =` specfic resistence and `epsilon_(0) =` permittivity of free space)`A. ChargeB. currentC. timeD. frequency
A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?A. `MLT^(-3) and ML^(2)T^(-4)`B. `MLT^(-3) and MLT^(-4)`C. `MLT^(-1) and MLT^(0)`D. `MLT^(-4) and MLT^(4)`
A person measures two quantities as `A = 1.0 m +- 0.2 m ,B = 2.0 m +- 0.2 m` We should report correct value for `sqrt(AB)` asA. `1.4 m +- 0.4 m`B. `1.41 m +- 0.15 m`C. `1.4 m + 0.3 m`D. `1.4 m +- 0.2 m`
If the time period `(T)`of vibration of a liquid drop depends on surface tension `(S)` , radius`( r )` of the drop , and density `( rho )` of the liquid , then find the expression of `T`.A. `T = k sqrt(rhor^(3)//S)`B. `T = k sqrt(rho^(1//2)r^(3)//S)`C. `T = k sqrt(rhor^(3)//S^(1//2))`D. None of these
In `S=a+bt+ct^2`. S is measured in metres and t in seconds. The unit of c isA. `ms^(2)`B. `m`C. `ms^(-1)`D. `ms^(-2)`
If equation `int (dt)/(sqrt(3a - 2t^(2))) = a^(x) sin ^(-1) ((r^(2))/(a^(2)) - 1)`, the value of x isA. `(3)/(2) `B. `0`C. `(1)/(2)`D. `-(1)/(2)`
If momentum `(p)`, area `(A)` and time`(t) `are taken to be fundamental quantities then energy has the dimensional formulaA. `[p^(1)A^(-1)t^(-1)]`B. `[p^(2)A^(1)t^(1)]`C. `[p^(1)A^(1//2)t^(1)]`D. `[p^(1)A^(1//2)t^(-1)]`
`int (dt)/(sqrt(2at - t^(2))) = a^(2) sin ^(-1)[[1)/(a) - 1]`The value of x isA. `1`B. `-1`C. `0`D. `2`
Density of a liquid in CGS system is `0.625(g)/(cm^3)`. What is its magnitude is SI system?A. `0.625`B. `0.0625`C. `0.00625`D. `625`

`int (dt)/(sqrt(2at - t^(2))) = a^(2) sin ^(-1)[[1)/(a) - 1]`The value of x isA. `1`B. `-1`C. `0`D. `2`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment