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New answer posted

2 months ago

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V
Vishal Baghel

Contributor-Level 10

F 1 c o s 4 5 ° + F 2 c o s 4 5 ° + F 3 = m v 2 r

G m 2 ( 2 r ) 2 . 1 2 + G m 2 ( 2 r ) 2 . 1 2 + G m 2 ( 2 r ) 2 = m v 2 r

v = G m 4 r ( 2 2 + 1 )

Putting m = 1 kg and r = 1 m,

v = 1 2 G ( 1 + 2 2 )

New answer posted

2 months ago

0 Follower 2 Views

V
Vishal Baghel

Contributor-Level 10

Velocity of block in equilibrium, in first case,

v = A ω = A . k M

Velocity of block in equilibrium, is second case,

v ' = A ' ω ' = A ' k M + m

From conservation of momentum,

Mv = (M + m) v'

M A k M = ( M + m ) A ' k M + m A ' = A M M + m

New answer posted

2 months ago

0 Follower 2 Views

V
Vishal Baghel

Contributor-Level 10

Since, x 2 α k T  should be dimensionless.

So, dimension of α , [ α ] = L 2 M L 2 T 2 = M 1 T 2

Dimension of α β 2  should be that of W.

So, [ α β 2 ] = M L 2 T 2

[ β 2 ] = M L 2 T 2 M 1 T 2 = M 2 L 2 T 4 [ β ] = M L T 2

 

New answer posted

2 months ago

0 Follower 2 Views

V
Vishal Baghel

Contributor-Level 10

d q d t = t = 2 0 t + 8 t 2

0 q d q = 0 1 5 ( 2 0 t + 8 t 2 ) d t

q = 2 0 * 1 5 2 2 + 8 . 1 5 3 3 = 1 1 2 5 0 C

New answer posted

2 months ago

0 Follower 3 Views

R
Raj Pandey

Contributor-Level 9

ρ = 8 0 0 k g / m 3

P1 – P2 = 4100 Pa

 Bernoulli's question b/w (1) & (2)

P 1 ρ g + v 1 2 2 g + z 1 = P 2 ρ g + v 2 2 2 g + z 2  

⇒  P 1 P 2 ρ g + v 1 2 2 g + 1 = v 2 2 2 g + 0            -(1)

Equation of continuity

A1v1 = A2v2

v2 = 2v1                -(2)

from (1) & (2)

P 1 P 2 ρ g + v 1 2 2 g + 1 = ( 2 v 1 ) 2 2 g  

4 1 0 0 8 0 0 * 1 0 + v 1 2 2 g + 1 = 4 v 1 2 2 g  

1 2 1 0 0 8 0 0 0 = 3 v 1 2 2 g

v 1 2 = 2 * 1 0 3 * 1 2 1 0 0 8 0 0 0  

  = 2 3 * 1 2 1 8  

                 x = 363

New answer posted

2 months ago

0 Follower 1 View

R
Raj Pandey

Contributor-Level 9

At Resonance

XL = XC

then lL = lC

Now phasor diagram

for L & C

So, Net current = zero

  = ( l L + l C )  

Therefore current through R circuit at resonance will be zero

 

 

             

New answer posted

2 months ago

0 Follower 1 View

R
Raj Pandey

Contributor-Level 9

D 1 D 3 } Forward biased offer zero Resistance

D2} Reversed biased offers Infinite Resistance

I = v R = 1 0 1 0 = 1 A m p

 

New answer posted

2 months ago

0 Follower 2 Views

R
Raj Pandey

Contributor-Level 9

Let 'x' he the value of one division of main scale

              x = 1 2 0 c m = 0 . 0 5 c m  

              Let y be value of one division on venire scale given

              10 y = 9 x

              y = 9 x 1 0  

              Least count = x 9 x 1 0 = x 1 0 = 0 . 0 5 1 0  

              = 0.005 cm

              = 5 * 10-2 mm

New answer posted

2 months ago

0 Follower 8 Views

R
Raj Pandey

Contributor-Level 9

δ t o t a l = 3 6 0 ° 2 θ

= 360 – 2 * 75° = 210°

              Total deviation = δ = 1 5 0 °

 

New answer posted

2 months ago

0 Follower 2 Views

R
Raj Pandey

Contributor-Level 9

Decay of current in Inductor is given by,

              i = i 0 e t / τ [ W h e r e τ = L R ; i 0 = v R = 2 0 1 0 = 2 ]  

              At t = 100 μ s  

              i = 0

              i.e. i = i0 e 1 0 0 / τ = 0           -(1)

              e.m.f   induced

              e = L d i d t = L d d t [ i 0 e t / τ ]  

            

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