यदि किसी पिण्ड पर नेट बल `F_(R)` तथा नेट बल आघूर्ण `tau_(R)` क्या निम्न स्थितियाँ सम्भव हैं?
`F_(R)ne0, tau_(R)=0`

When a current loop is placed in a uniform magnetic field i) barF_(R)=0 and bartau=0 ii) barF_(R)=0 but bartaune0 iii) barF_(R)ne0 but bartau=0 iv) barF_(R)ne0 and bartaune0

When a current loop is placed in a uniform magnetic field i) barF_(R)=0 and bartau=0 ii) barF_(R)=0 but bartaune0 iii) barF_(R)ne0 but bartau=0 iv) barF_(R)ne0 and bartaune0

Let f : R to R be a function defined by f (x + y) = f (x).f (y) and f (x) ne 0 for andy x. If f '(0) exists, show that f '(x) = f (x). F'(0) AA x in R if f '(0) = log 2 find f (x).

When a current loop is placed in a uniform magnetic field (i)" " vec(F_(R))=0 and vec(tau) , (ii)vec(F_(R))=0 but vec(tau)cancel(=)0 (iii)vec(F_(R))cancel(=)0 but tau=0 , (iv)vec(F_(R))cancel(=)0 and taucancel(=)0

A function f: R rarr R satisfies the equation f(x+ y)= f(x).f(y) "for all" x, y in R, f(x) ne 0 . Suppose that the function is differentiable at x=0 and f'(0)=2, then prove that f'(x)= 2f(x)

For all twice differentiable functions f : R to R , with f(0) = f(1) = f'(0) = 0

Let f:R to R be such that f(0)=0 and |f'(x)| le 5 for all x. Then f(1) is in